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SUMMARY:Anomalous diffusion\, ageing\, and non-errodicity
DTSTART;VALUE=DATE-TIME:20170905T080000Z
DTEND;VALUE=DATE-TIME:20170905T083000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-167@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Ralf Metzler (University of Potsdam)\nIn 1905 Einste
in formulated the laws of diffusion\, and in 1908\nPerrin published his No
bel-prize winning studies determining Avogadro's\nnumber from diffusion me
asurements. With similar\, more refined techniques\nthe diffusion behaviou
r in complex systems such as the motion of tracer\nparticles in living bio
logical cells is nowadays measured with high precision.\nOften the diffusi
on turns out to deviate from Einstein's laws. This talk will\ndiscuss the
basic mechanisms leading to anomalous diffusion as well as point\nout the
physical consequences. In particular the unconventional behaviour of\nnon-
ergodic\, ageing systems will be discussed within the framework of\ndiffer
ent stochastic processes. Concrete examples include granular gases\,\nbiol
ogical cells\, lipid membranes\, and interacting many particle systems.\n\
nhttps://zakopane.if.uj.edu.pl/event/4/contributions/167/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/167/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Diffusion and dynamic scaling in concentrated charge-stabilized co
lloidal suspensions
DTSTART;VALUE=DATE-TIME:20170906T090000Z
DTEND;VALUE=DATE-TIME:20170906T093000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-164@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Gerhard Naegele (Forschungszentrum Jülich\, ICS-3)\
nWe present a joint theory\, simulation and experimental study of collecti
ve and self-diffusion in concentrated suspensions of charged colloidal par
ticles. The study is based on the generalized Smoluchowski diffusion equat
ion accounting both for direct and solvent-mediated hydrodynamic interacti
ons\, and it spans the range from the colloidal short-time to the long-tim
e regime. Owing to the large size asymmetry between the colloidal macroion
s and the neutralising microns\, the degrees of freedom of the latter can
be integrated out\, resulting in an effective (microion-dressed) colloid p
air potential characterised by a renormalised colloid charge and Debye scr
eening parameter. Various state-of-the-art methods of calculating such an
effective colloid interaction potential are compared for suspensions in os
motic equilibrium with a salt reservoir. The effective colloid potential i
s used as input in our accelerated Stokesian Dynamics (ASD)\, Brownian Dyn
amics (BD) and self-consistent mode-couling theory (MCT) calculations of i
ntermediate and self-intermediate scattering functions and particle mean-s
quared displacements. On basis of these numerical results that are compare
d in addition with dynamic light scattering data on silica particles suspe
nsions\, the influence of hydrodynamic interactions on self- and collecti
ve diffusion\, and the accuracy of the MCT method are quantified. A propos
ed time-wavenumber scaling relation between short- and long time diffusion
properties is shown to be violated in general.\n\nhttps://zakopane.if.uj.
edu.pl/event/4/contributions/164/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/164/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Temperature gradient induced solvent coarsening around colloids
DTSTART;VALUE=DATE-TIME:20170908T081500Z
DTEND;VALUE=DATE-TIME:20170908T083000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-163@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Anna Maciolek (ICHF PAN)\nUsing mesoscopic numerical
simulations and analytical theory we investigate \nthe coarsening of the
solvent structure around a colloidal particle emerging after a \ntemperatu
re quench of the colloid surface. Qualitative differences in the coarsenin
g mechanisms are found\, \ndepending on the composition of the binary liqu
id mixture forming the solvent and on the adsorption preferences of the co
lloid. For an \nadsorptionwise neutral colloid\, as function of time the p
hase being next to its surface alternates. This behavior sets in on the sc
ale of the \nrelaxation time of the solvent and is absent for colloids wit
h \nstrong adsorption preferences. A Janus colloid\, with a small temperat
ure difference between its two hemispheres\, \nreveals an asymmetric struc
ture formation and surface enrichment around it\, even if the solvent is w
ithin its one-phase region\nand if the temperature of the colloid is above
the critical demixing temperature $T_c$ of the solvent.\nA comparison bet
ween the emerging fluid structures above and below $T_c$ is provided.\n Ou
r phenomenological \nmodel turns out to capture recent experimental findin
gs according to which\, upon laser \nillumination of a Janus colloid and d
ue to the ensuing temperature gradient between its two \nhemispheres\, the
surrounding binary liquid mixture \ndevelops a concentration gradient.\n\
nhttps://zakopane.if.uj.edu.pl/event/4/contributions/163/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/163/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A tribute to Marian Smoluchowski's legacy on colloid type matter a
ggregation\, and related issues
DTSTART;VALUE=DATE-TIME:20170904T123000Z
DTEND;VALUE=DATE-TIME:20170904T130000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-162@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Adam Gadomski (UTP University of Science and Technol
ogy Bydgoszcz\, Poland)\nIn 1916 Marian Smoluchowski proposed a case of co
nstant-kernel cluster cluster aggregation\, for which it is manageable to
find analitycally by employing scaling arguments\, a solution in terms of
the cluster size (k) distribution function\, n(k) [1\,2].\nBy applying thi
s scaling function it is then possible to get\, within the long times' lim
it\, the results for the mean cluster size {k} and the total number of the
clusters N\, both scalable in terms of time t with a single exponent\, g
[2].\nThe clustering arguments\, first introduced by Smoluchowski [1]\, ar
e easily applicable to statistical description of physical-metallurgical p
rocesses and ceramic-polycrystalline evolutions\, termed the normal grain
growth\, in which bigger clusters grow at the expense of their smaller nei
ghboring counterparts due to capillary conditions [3].\nThe normal grain g
rowth\, and its dynamics\, can be expressed in d-dimensional space (d - Eu
clidean dimension of the space). Upon identifying {k} from the Smoluchowsk
i description with {R}\, the mean cluster radius' size from the normal gra
in growth approach\, and by taking the "extreme" condition of k >> 0\, one
is able to embark on their equivalence by stating rigorously that g=1/(d+
1)\, since the asymptotic scaling rule for N (here: the number of grains)
goes via a simple logarithmic depiction as: ln[N]~-ln[g].\nThe crucial ass
umption\, however\, that assures the equivalence claimed\, appears to be f
ully feasible when rearranging the time domain by substituting t in a way
such that a new rescaled time variable T(t) is given by a definite integra
l in [0\,t] upon dT(t)=dt/f(t)\, with an adjustable function f\, coming fr
om the dispersive or long-tail\, or fractal kinetics' arguments [4].\nThe
arguments may at least qualitatively concern biomembranes dynamics\; they
can also contribute to nucleation-growth processes in (psychodynamic-clus
tering) living matter conditions [5-7].\n\n$ $\n\n[1] M. von Smoluchowski\
, Physikalische Zeitschrift **17**\, 585 (1916).\n\n[2] R. Jullien\, Croat
ica Chemica Acta **65**(2)\, pp. 215-235 (1992).\n\n[3] P.A. Mulheran\, J.
H. Harding\, Materials Science Forum **94-96**\, pp. 367-372\, 1992.\n\n[4
] A. Plonka\, Dispersive Kinetics\, Kluwer\, Dordrecht\, 2002.\n\n[5] A. G
adomski\, A. Gadomski\, European Physical Journal B **9**\, 569 - 571 (199
9).\n\n[6] A. Gadomski\, M. Ausloos\, T. Casey\, Nonlinear Dynamics in Psy
chology & Life Sciences **21**/2\, 129-141 (2017).\n\n[7] A. Gadomski\, P
hilosophical Magazine Letters **70**\, 335 (1994).\n\nhttps://zakopane.if.
uj.edu.pl/event/4/contributions/162/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/162/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mean-potential law in evolutionary games
DTSTART;VALUE=DATE-TIME:20170908T075000Z
DTEND;VALUE=DATE-TIME:20170908T081000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-161@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Jacek Miekisz (Institute of Mathematics\, Polish Aca
demy of Sciences and University of Warsaw)\nWe formulate two simple and in
tuitive criteria for evolutionary stability of pure Nash equilibria in sto
chastic dynamics of finite populations. Our approach is based on the mappi
ng of continuous stochastic dynamics into discrete ones and the appropriat
e choice of potential functions. We present the correspondence between one
-dimensional stochastic differential equations describing diffussion with
a state-dependent drift and discrete-space random walks\, which is exact e
ven in finite-state spaces. This enables us to compute fixation probabilit
ies in various stochastic dynamical systems with two absorbing states.\n\n
https://zakopane.if.uj.edu.pl/event/4/contributions/161/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/161/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Large deviations of surface height in the Kardar-Parisi-Zhang equa
tion
DTSTART;VALUE=DATE-TIME:20170905T080000Z
DTEND;VALUE=DATE-TIME:20170905T083000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-160@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Baruch Meerson (Hebrew University of Jerusalem)\nThe
Kardar-Parisi-Zhang (KPZ) equation describes an important universality cl
ass of nonequilibrium stochastic growth. There has been much recent intere
st in the one-point probability distribution P(H\,t) of height H of the ev
olving interface at time t. I will show how one can use the optimal fluctu
ation method (also known as the instanton method\, the weak-noise theory\,
the macroscopic fluctuation theory\, or simply WKB) to evaluate P(H\,t) f
or different initial conditions in 1+1 dimensions. At short times the bod
y of the height distribution is Gaussian\, but its tails are non-Gaussian
and highly asymmetric. In a moving frame\, one of the tails coincides\, at
all times\, with the proper tail of the Tracy-Widom distribution (for the
flat and curved interface)\, and of the Baik-Rains distribution (for the
stationary interface). The other tail displays a behavior that differs fro
m the known long-time asymptotic. At sufficiently large |H| this large-de
viation tail also persists at arbitrary long times. The case of stationar
y interface is especially interesting. Here at short times the large devia
tion function of the height exhibits a singularity at a critical value of
|H|. This singularity results from a symmetry-breaking of the "optimal pat
h" of the system\, and it has the character of a second-order phase transi
tion.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions/160/
LOCATION: 30
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/160/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stochastic modeling of diffusion in dynamical systems: three examp
les
DTSTART;VALUE=DATE-TIME:20170905T143000Z
DTEND;VALUE=DATE-TIME:20170905T150000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-158@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Rainer Klages (Queen Mary University of London)\nCon
sider equations of motion that generate dispersion of an ensemble of parti
cles. For a given dynamical system an interesting problem is not only what
type of diffusion is generated by its equations of motion but also whethe
r the resulting diffusive dynamics can be reproduced by some known stochas
tic model. I will discuss three examples of dynamical systems generating d
ifferent types of diffusive transport: The first model is fully determinis
tic but non-chaotic by displaying a whole range of normal and anomalous di
ffusion under variation of a single control parameter [1]. The second mode
l is a dissipative version of the paradigmatic standard map. Weakly pertur
bing it by noise generates subdiffusion due to particles hopping between m
ultiple attractors [2]. The third model randomly mixes in time chaotic dyn
amics generating normal diffusive spreading with non-chaotic motion where
all particles localize. Varying a control parameter the mixed system exhib
its a transition characterised by subdiffusion. In all three cases I will
show successes\, failures and pitfalls if one tries\nto reproduce the resu
lting diffusive dynamics by using simple stochastic models.\n\n$ $\n\nJoin
t work with all authors on the references cited below.\n\n[1] L. Salari\,
L. Rondoni\, C. Giberti\, R. Klages\, Chaos 25\, 073113 (2015)\n\n[2] C.S.
Rodrigues\, A.V. Chechkin\, A.P.S. de Moura\, C. Grebogi and R. Klages\,\
nEurophys. Lett. 108\, 40002 (2014)\n\n[3] Y.Sato\, R.Klages\, to be publi
shed.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions/158/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/158/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Deep learning – results\, origin and relation to statistical phy
sics
DTSTART;VALUE=DATE-TIME:20170905T120000Z
DTEND;VALUE=DATE-TIME:20170905T123000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-157@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Czeslaw Jedrzejek (Poznan University of Technology)\
nMachine learning (ML)\, a fundamental concept of AI research\, has recent
ly been dominated by advanced statistical techniques (known as deep learn
ing). The origin the methods comes from network optimization and prior kno
wledge of brain with serious physics inputs. The progress in theoretical a
rchitectural models (such as Recurrent Neural Networks (RNN\, Convolutiona
l Neural Networks\, Long Short-Term Memory networks (LSTM) and Deep Boltz
mann Machines) as well as numerical methods make advanced NN to approxima
te arbitrary functions better than traditional ML methods given sufficient
ly large amounts of data. A list of cognitive tasks that deep learning sys
tems beat humans grows monthly. This fact changes the way society operates
technologically. Among others\, instead of coding (i.e. entitling compute
rs with rules) it would be more effective to teach a system providing data
. \nThe examples of applications mainly from Natural Language Processing a
nd understanding area will be given. Increasingly larger number of compan
ies are bringing to market innovative\, smart products and services using
AI. Search\, mapping genotype to phenotype\, advanced medical diagnosis an
d testing and drug creation are one of the most promising applications. Fu
rther progress will be achieved by using knowledge from reverse engineered
brain functions.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions/1
57/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/157/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Aging transient superdiffusive dynamics in in vivo neuronal mRNP t
ransport: a Levy walk description
DTSTART;VALUE=DATE-TIME:20170905T073000Z
DTEND;VALUE=DATE-TIME:20170905T080000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-156@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Jae Hyung Jeon (Department of Physics\, Pohang Unive
rsity of Science and Technology(POSTECH))\nLocalization of messenger ribon
ucleoproteins (mRNPs) plays an essential role in the regulation of gene ex
pression required for long-term memory formation and neuronal development.
Knowledge concerning the nature of neuronal mRNP transport is thus crucia
l for understanding how mRNPs are delivered to their target synapses. In t
his talk\, we show experimental and theoretical evidence that the active t
ransport dynamics of neuronal mRNPs\, which is distinct from the previousl
y reported motor-driven transport\, follows an aging Levy walk. Such noner
godic\, transient superdiffusion occurs because of two competing dynamic p
hases: the motor-involved ballistic run and static localization of mRNPs.
Our proposed Levy walk model reproduces the experimentally extracted key d
ynamic characteristics of mRNPs with quantitative accuracy. Moreover\, the
aging status of the mRNP particles in an experiment is inferred from the
model. The potential physical mechanisms for the observed aging behaviors
are shortly discussed.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributi
ons/156/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/156/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Generic properties of stochastic entropy production
DTSTART;VALUE=DATE-TIME:20170906T133000Z
DTEND;VALUE=DATE-TIME:20170906T140000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-155@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Edgar Roldan (Max Planck Institute for the Physics o
f Complex Systems)\nThe laws of thermodynamics can be extended to mesoscop
ic systems for which energy changes are on the order of the thermal energy
are relevant. Therefore\, thermodynamic observables associated with mesos
copic degrees of freedom are stochastic. A key example of such thermodynam
ic observable is the stochastic entropy production in nonequilibrium proce
sses. Little is known beyond fluctuation theorems about universal or model
-independent statistics of entropy-production fluctuations.\n\n$ $\n\nUsin
g Martingale theory we have discovered novel universal statistics of stoch
astic entropy production in nonequilibrium steady states such as: (i) The
distribution of the negative record (which we call infimum) of entropy pro
duction (ii) the passage probabilities of entropy production\; (iii) the s
topping-time fluctuations of entropy production. \n\n$ $\n\nFor nonequilib
rium Langevin processes\, we derive an Ito stochastic differential equatio
n for entropy production. Introducing a random-time transformation\, entro
py production obeys a one-dimensional drift-diffusion equation\, independe
nt of the underlying physical model. This transformation allows to identif
y novel generic properties of entropy production. It also leads to an exac
t uncertainty equality relating the Fano factor of entropy production and
the Fano factor of the random time.\n\n$ $\n\nOur results have interesting
implications for stochastic processes that can be discussed in colloidal
systems and active molecular processes. For example\, we make predictions
for the distribution of the maximum backtrack depth of RNA polymerases dur
ing RNA transcription in eukaryotes.\n\n$ $\n\n[1] É. Roldán\, I. Neri\,
M. Dörpinghaus\, H. Meyr and F. Jülicher\, Phys. Rev. Lett. 115 (25)\,
250602 (2015).\n\n[2] I. Neri\, É. Roldán\, and F. Jülicher\, Phys. Rev
. X 7\, 011019 (2017).\n\n[3] S. Pigolotti\, I. Neri\, É. Roldán\, and F
. Jülicher\, arXiv:1704.04061 (2017).\n\nhttps://zakopane.if.uj.edu.pl/ev
ent/4/contributions/155/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/155/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Temperature-abnormal diffusivity and weak ergodicity breaking in s
pace-periodic systems driven by external forces
DTSTART;VALUE=DATE-TIME:20170904T130000Z
DTEND;VALUE=DATE-TIME:20170904T132000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-154@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Ivan Marchenko (National Scientific Centre “Khark
ov Institute of Physics and Technology”)\nThe phenomena of diffusio
n over a potential energy landscape play a key role in a number of process
es in physics\, chemistry and biology. In this talk a set of original theo
retical results on diffusion enhancement of underdamped Brownian particles
in symmetric space-periodic potential due to external forcing is presente
d [1-5].\nWe demonstrate that depending on the value of the constant exter
nal force in underdamped space-periodic systems dfferent functional depend
ences of the diffusivity on the temperature are realized. It is shown by n
umeric simulations of the Langevin equation that the phenomenon of diffusi
vity growth with the temperature decreasing (“temperature-abnormal diffu
sivity”- TAD) is manifested in a narrow interval of applied external for
cing. \nWe demonstrate that weak ergodicity breaking takes place in TAD re
gion. The correlation time tends to infinity as ~exp(+U/kBT) at T→0 in T
AD region.\nIt is well-known that the double-well system is a typical clas
sical memory device. We show that particle dynamics in underdamped space p
eriodic systems may be considered as overdamped particle movement in effec
tive double-well velocity space potential. \nBased on the double-well mode
l the analytical expression for diffusion coefficients in TAD region is de
rived. The functional dependence of TAD region width and its position on t
he friction coefficient and system parameters is found. \nThese results al
low for simple experimental verification\, and have practical applications
-- in physics of adsorbates\, diffusion of interstitials\, nanoparticle s
orting\, hydrogen energetics to name a few.\n\n$ $\n\n[1] I. G. Marchenko\
, I. I. Marchenko\, Europhys. Let. 100\, 50005 (2012).\n\n[2] I. G. Marche
nko\, I. I. Marchenko\, A. V. Zhiglo\, Euro. Phys. Journ. B87\, 10 (2014)
.\n\n[3] I. G. Marchenko\, I. I. Marchenko\, JETP Lett.\, 95 (2012) 137.\n
\n[4] I. G. Marchenko\, I. I. Marchenko\, Journ. of Phys. Conf. Ser. 514\,
012045 (2014).\n\n[5] I. G. Marchenko\, I. I. Marchenko\, A. V. Zhiglo\,
arXiv:1701.01424v2 (2017).\n\nhttps://zakopane.if.uj.edu.pl/event/4/contr
ibutions/154/
LOCATION: 30
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/154/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bottlebrush polymers: from dilute solutions to super-soft rubbers
DTSTART;VALUE=DATE-TIME:20170908T070000Z
DTEND;VALUE=DATE-TIME:20170908T072000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-153@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Jaroslaw Paturej (University of Szczecin)\nPolymer b
ottlebrushes provide intriguing features being relevant both in nature and
in synthetic systems. While their presence in the articular cartilage opt
imizes synovial joint lubrication\, bottlebrushes offer pathways for fasci
nating applications\, such as within super-soft elastomers or for drug del
ivery. However\, the current theoretical understanding lacks completeness\
, primarily due to the complicated interplay of many length scales. During
the talk new analytical model of bottlebrush polymers will be presented.
The model applies to solutions ranging from dilute concentrations to dens
e melts. The validity of our model is supported by data from extensive mol
ecular dynamics simulation. We demonstrate that the hierarchical structure
of bottlebrushes dictates a sequence of conformational changes as the sol
ution concentration increases. The effect is mediated by screening of excl
uded volume interactions at subsequent structural parts of the bottlebrush
es. Our findings provide important insights that should enable improved cu
stomization of novel materials based on the architectural design of polyme
r bottlebrushes.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions/15
3/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/153/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anomalous quantum diffusion of hydrogen atoms in proteins
DTSTART;VALUE=DATE-TIME:20170906T080000Z
DTEND;VALUE=DATE-TIME:20170906T083000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-152@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Gerald Kneller (University of Orleans / CNRS)\nGeral
d Kneller\n\nCentre de Biophysique Moléculaire \nCNRS/University of Orlé
ans\, France\n\nQuasielastic neutron scattering (QENS) from biomolecular s
ystems\, such as proteins\, probes essentially the diffusive single partic
le dynamics of the hydrogen atoms. As far as the internal dynamics is cons
idered\, the motion of the hydrogen atoms exhibits both multiscale and qua
ntum properties. Starting from the definition for the mean square displace
ment of a quantum particle\, it will be shown how both aspects can be comb
ined within a theory of QENS experiments\, which is asymptotically exact f
or long times/low frequencies and for moderate momentum transfers. \n\n$ $
\n\n[1] G.R. Kneller\, J Chem Phys 145\, 044103 (2016)\n[2] G.R. Kneller\,
J Chem Phys 134\, 224106 (2011)\n\nhttps://zakopane.if.uj.edu.pl/event/4/
contributions/152/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/152/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dynamical maps on quantum Orlicz spaces
DTSTART;VALUE=DATE-TIME:20170904T143000Z
DTEND;VALUE=DATE-TIME:20170904T150000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-151@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Wladyslaw Adam Majewski (The Gdansk University)\nWe
present a new rigorous approach based on Orlicz spaces for the description
of the statistics of large regular statistical systems\, both classical a
nd quantum. We emphasize that the presented formalism is applicable to QFT
!\nThe pair of Orlicz spaces we explicitly use are respectively built on t
he exponential function\n(for the description of regular observables) and
on an entropic type function (for the corresponding states). They form a d
ual pair (both for classical and quantum systems). This pair $\\langle L^{
\\cosh - 1}\, L\\log(L+1)\\rangle$ has the advantage of being general enou
gh to encompass regular observables\, and specific enough for the latter O
rlicz space to select states with a well-defined entropy function.\nQuantu
m dynamical maps are defined and studied for quantum statistical physics b
ased on Orlicz spaces. We show that even in the most general non-commutati
ve contexts\, completely positive Markov maps satisfying a natural Detaile
d Balance condition\, canonically admit an action on a large class of quan
tum Orlicz spaces. This is achieved by the development of a new interpolat
ion technique\, specifically suited to the above context\, for extending t
he action of such maps to the appropriate intermediate spaces of the pair
$\\langle L^\\infty\,L^1\\rangle$.\n\nhttps://zakopane.if.uj.edu.pl/event/
4/contributions/151/
LOCATION: 30
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/151/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Out-of-equilibrium physics in spontaneous synchronization
DTSTART;VALUE=DATE-TIME:20170906T072000Z
DTEND;VALUE=DATE-TIME:20170906T075000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-150@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Stefano Ruffo (SISSA)\nSpontaneous synchronization i
s a cooperative phenomenon common in nature which makes oscillators of dif
ferent frequencies\, if strongly coupled\, operate together with a single
common frequency. Such cooperative effects occur in physical and biologica
l systems over length and time scales of several orders of magnitude. Exam
ples: are flashing of fireflies\, rhythmic applause in a concert hall\, an
imal flocking behavior\, electrical power-grids\, etc. The most celebrated
model of synchronization is the Kuramoto model\, introduced in 1975\, whi
ch is simple enough to allow quite a detailed analytical treatment\, at th
e same time capturing several features of realistic systems. After discuss
ing the general dynamical and statistical features of synchronization\, I
will concentrate on its out-of-equilibrium physical aspects when uncorrela
ted Langevin noise is added to the model.\n\nhttps://zakopane.if.uj.edu.pl
/event/4/contributions/150/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/150/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Identification of spatial diffusivity patches by the wavelet proce
ssing of single-particle trajectories
DTSTART;VALUE=DATE-TIME:20170905T145500Z
DTEND;VALUE=DATE-TIME:20170905T151000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-149@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Eugene Postnikov (Kursk State University)\nModern de
velopments in single particle tracking not only open new perspectives for
the study of molecular motions in complex environments\,\nbut also allow f
or using these motions as a probe for revealing properties of substrates o
n which the motions occur. This approach is\nespecially important for stud
ying biological membranes since their non-uniform structure (e.g. due to t
he presence of protein clusters) \nresults in a large variety of anomalous
diffusion phenomena [1]. The first step on this way is providing a map of
local \ndiffusion coefficients. Using a standard approach based on moving
time averaging of the local squared displacements poses a task of \njudic
ious choice of the averaging window\, which\, for achieving satisfactory a
ccuracy\, has to be chosen adaptively\, depending on the local diffusion c
oefficient itself. \n\n$ $\n\nThis complication may be circumvented by gen
eralizing methods of robust linear fitting based on comlexification of th
e smooth functions \nwith their subsequent Fourier [2] or Complex Wavelet
Transforms (CWT) [3]. For this aim the function $\\exp[i\\Omega R^2(t)]$\,
\nwhere $R^2(t)$ is the step-wise displacement squared and $\\Omega$ is a
n appropriately chosen factor\, is used as an input for the CWT. \nA modif
ication with respect to [3] is the replacement of the Morlet wavelet \nby
a combination of the Tukey window and the multiplicative decomposition of
the exponential factor that assures better spatio-temporal localization. \
n\n$ $\n\nThe method proposed was checked in numerical simulations of rand
om walks on patchy structures with different diffusion coefficients within
patches\,\nand was shown to be able to reveal patched structure of diffus
ion coefficient and to distinguish such situations from random walks with
a \ntime-dependent diffusion coefficient. In addition\, the method was app
lied to the experimental data of [1] provided by courtesy of C. Manzo.\nIt
s application resulted not only in the demonstration of an existence of su
bstrate patches with slowly varying diffusivity but also allowed for a dis
cussion \nof a difference between such structures and systems with ergodic
ity breaking. \n\n$ $\n\nEBP is partially supported the Ministry of Educat
ion and Science of the Russian Federation within the research project \\#3
.9499.2017/8.9.\n\n$ $\n\n[1] C. Manzo et al.\, Phys. Rev. X **5** 011021
(2015)\n\n[2] E.B. Postnikov\, I.M. Sokolov\, Physica A **434** 257 (2015)
\n\n[3] F. Thiel\, I.M. Sokolov\, E.B. Postnikov\, Phys. Rev. E **93**
052104 (2016)\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions/149/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/149/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Quantum first detection time
DTSTART;VALUE=DATE-TIME:20170904T130000Z
DTEND;VALUE=DATE-TIME:20170904T133000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-148@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Eli Barkai (Bar-Ilan University\, Israel)\nWe invest
igate the quantum first detection problem for a quantum walk \nusing proje
ctive measurement postulates. \nA simple relation between the measurement
free state function |psi> and |phi>_n is obtained\, \nthe latter\nis the
first detection amplitude at the n-th attempt. This relation is the quantu
m renewal equation\, its classical counter part is widely used to find sta
tistics of first passage time for random walks and Brownian motion. We inv
estigate statistics of first detection for open and closed systems (first
arrival or passage is not well defined in quantum theory). For closed sys
tems\, like a ring\, with a\ntranslation invariant Hamiltonian\, we find Z
eno physics\, optimum sampling times\, critical sampling effect related to
revivals\, dark states\, and quantisation of the mean detection time. For
a quantum walk on the line\, with particle starting on |x_i> and detected
on the origing |0>\, with a tight-binding Hamiltonian with hops to neares
t neighbours\, we find the detection probability decays like (time)^(-3) w
ith super imposed quantum oscillation\, thus the quantum exponent is doubl
e its classical counter part. The Polya problem is discussed\, and it is f
ound that in one dimension the total detection probability\, does not depe
nd on the initial distance of the particle from detector\, though survival
of the particle is not unity. There is an optimal sampling time which max
imises the\ntotal detection probability. \n\n$ $\n\nJoint work with Harel
Fridman\, David Kessler\, and Felix Thiel.\n\nhttps://zakopane.if.uj.edu.p
l/event/4/contributions/148/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/148/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Modelling heart rhytm variability in heart transplant patients by
cellular automata on complex networks
DTSTART;VALUE=DATE-TIME:20170905T080000Z
DTEND;VALUE=DATE-TIME:20170905T083000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-147@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Danuta Makowiec (Institute of Theoretical Physics an
d Astrophysics\, University of Gdansk)\nIn patients with end-stage heart d
isease the heart transplantation (HTx) is associated with significant impr
ovement in survival and in quality of life. However strong immunosuppressi
ve drugs together with processes of aging could lead to vasculopathy and
fibrosis of the donor heart. Moreover a spontaneous process of reinnervati
on proceeds in the myocardial tissue. All together impact on progressive
alternations in the myocardial structure what influence propagation of a
ctivation wave fronts. A variety of arrhythmias – abnormal heart rhythm\
, may occur which adversely affect the patient long term survival.\n\n$
$\n\nCellular automata modeling of signal propagation in the atrial musc
le tissue is a rational compromise in resolving of physiological complex
ity\, justified by efficiency in reproducing details of myocardial archi
tecture. Consequently this modeling may explain key relationships betwee
n heart muscle structure and the propagation of activation wave fronts\, p
ossible reasons for the risk of arrhythmia. \n\n$ $\n\nCombining our pr
oposition for stochastic network cellular automata model of the human pac
emaker [1] and 2D cellular automata model of fibrosis in atria proposed in
[2]\, we investigate which changes in myocardial structure affects prop
agation of cell-to-cell signals to contract in such way that we observe ab
normal heart rhythm. 24-hour Holter measurement\, a noninvasive and chea
p ECG recording provides information on erratic rhythms of HTx patients. B
y modeling of structural alternates in the heart tissue we reproduce prope
rties of some individual HTx patient heart rhythm [3]. \n\n$ $\n\nReferen
ces\n\n1. D. Makowiec Acta Phys.Pol.B Proc.Suppl. 7(2014) 347\n2. K
. Christensen et al\, Phys. Rev. Lett. 114 (2015) 028104 \n3. D. Makowi
ec et al\, Chaos\, Solitons & Fractals 90 (2016) 101\n\nhttps://zakopan
e.if.uj.edu.pl/event/4/contributions/147/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/147/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The (random) matrix reloaded. Old tricks for new dogs - and return
DTSTART;VALUE=DATE-TIME:20170906T144500Z
DTEND;VALUE=DATE-TIME:20170906T151500Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-146@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Pierpaolo Vivo (King's College London)\nMatrices wit
h random entries - much like cats - enjoy several lives. Studied in one co
ntext\, they usually prove more useful in another\, giving rise to more an
d more baffling challenges and unexpected twists as time goes by. But\, th
e field of random matrices is also plagued by false myths\, inaccurate his
torical accounts\, and true gems that - while jealously kept from our coll
eagues - would certainly deserve a better fate. I will give a cheerful acc
ount of the ‘old tricks’ of the trade in the occasion of the 89th birt
hday of Random Matrix Theory\, and how well they assist us with a few - na
sty - ‘new dogs’. Also\, how technical advancements in the field have
made it possible - at long last - to make significant progresses in our un
derstanding of old problems. In the course of my talk\, I will likely get
many cats out of the bag - as progress in science often relies on not lett
ing sleeping dogs lie!\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributi
ons/146/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/146/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dynamics of classical isolated disordered systems
DTSTART;VALUE=DATE-TIME:20170904T123000Z
DTEND;VALUE=DATE-TIME:20170904T130000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-145@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Leticia\, F Cugliandolo (Universite Pierre et Marie
Curie)\nWe study the dynamics of classical disordered macroscopic models\n
completely isolated from the environment reproducing\, in a classical\nset
ting\, the ‘quantum quench’ protocol. We use two classes of models\,\n
distinguished by the complexity of their energy landscape. We identify\nqu
enches after which the evolution approaches a stationary state that can\nb
e associated to equilibrium at a single temperature (related to the\nenerg
y change during the quench)\, cases in which an ageing asymptotic\ndynamic
s persists asymptotically\, and quenches in which a steady state\ncharacte
rised by a Generalised Gibbs Ensemble is found. In the latter case\nwe sho
w that all the GGE effective temperatures can be obtained from the\nstanda
rd fluctuation dissipation relation\, in the frequency domain. The\nparame
ter dependence of the asymptotic states is rationalised in terms of\ndynam
ic phase diagrams.\n\n$\\\;$\n\n[1] Leticia F. Cugliandolo\, Gustavo S. Lo
zano\, Nicolas Nessi J. Stat. Mech. (2017) 083301.\n\n[2] Laura Foini\, An
drea Gambassi\, Robert Konik\, Leticia F. Cugliandolo\nPhys. Rev. E 95\, 0
52116 (2017)\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions/145/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/145/
END:VEVENT
BEGIN:VEVENT
SUMMARY:How to measure load-dependent kinetics of individual motor molecul
es without a force-clamp
DTSTART;VALUE=DATE-TIME:20170905T073000Z
DTEND;VALUE=DATE-TIME:20170905T080000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-142@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Henrik Flyvbjerg (Department of Micro- and Nanotechn
ology\, Technical University of Denmark\, Kongens Lyngby\, Denmark)\nMolec
ular motors are responsible for numerous cellular processes from cargo tra
nsport to heart contraction. Their interactions with other cellular compo
nents are often transient and exhibit kinetics that depend on load. Here\
, we measure such interactions using a new method\, “Harmonic Force Spec
troscopy.” In this method\, harmonic oscillation of the sample stage of
a laser trap immediately\, automatically and randomly applies sinusoidall
y varying loads to a single motor molecule interacting with a single track
along which it moves. The experimental protocol and the data analysis ar
e simple\, fast and efficient. The protocol accumulates statistics fast e
nough to deliver single-molecule results from single-molecule experiments.
We demonstrate the method’s performance by measuring the force-depende
nt kinetics of individual human beta-cardiac myosin molecules interacting
with an actin filament at physiological ATP concentration. We show that a
molecule’s ADP release rate depends exponentially on the applied load.
This points to Kramer’s Brownian diffusion model of chemical reactions
as explanation why muscle contracts with a velocity inversely proportional
to external load.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions/
142/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/142/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Life at the edge\, complexity and criticality in biological functi
on
DTSTART;VALUE=DATE-TIME:20170904T100000Z
DTEND;VALUE=DATE-TIME:20170904T103000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-140@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Dante Chialvo (Center for Complex Systems & Brain Sc
iences (CEMSC3). Universidad Nacional de San Martin & CONICET. San Martin\
, Buenos Aires\, Argentina)\nThe organization of biological form and funct
ion is a classic problem\, cut-crossing disciplines\, which include a vari
ety of complex spatiotemporal patterns. Historically\, work focussed first
into the understanding of self-organization and later attention shifted
to scale-free collective fluctuations\, many of them shown to correspond t
o critical phenomena. In that context\, I will review our work on critica
l dynamics across several scales uncovering novel understanding of protein
s\, mitocondria and brain function.\n\nhttps://zakopane.if.uj.edu.pl/event
/4/contributions/140/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/140/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Operational method for fractional Fokker-Planck equation
DTSTART;VALUE=DATE-TIME:20170908T080500Z
DTEND;VALUE=DATE-TIME:20170908T082000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-139@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Katarzyna Gorska (Institute of Nuclear Physics\, Pol
ish Academy of Sciences)\nI will present the results for fractional equati
ons of Fokker-Planck type using evolution operator method. I will employ e
xact forms of one-sided Levy stable distributions to generate a set of sel
f-reproducing solutions. Explicit cases are reported and studied for vario
us fractional order of derivatives\, different initial conditions\, and fo
r different versions of Fokker-Planck operators.\n\nhttps://zakopane.if.uj
.edu.pl/event/4/contributions/139/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/139/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Navigation and target search on human chromosomes
DTSTART;VALUE=DATE-TIME:20170905T130000Z
DTEND;VALUE=DATE-TIME:20170905T131500Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-138@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Ludvig Lizana (Umeå University)\nIn living cells\,
proteins often bind to specific basepair sequences on DNA\, such as transc
ription factor proteins that regulate gene expression\, or restriction enz
ymes that cut the DNA at cleavage sites. These proteins search for targets
that are about 10 basepairs long\, on a DNA that is a few mega basepairs
in bacteria\, and billions in humans. This sounds like a needle in a hays
tack- problem but search times are surprisingly short. For example\, in *
E. coli* bacteria it takes a few minutes to locate a gene regulatory site\
, whereas a random search would take up to ten times longer. The common e
xplanation for this\, is that proteins combine three dimensional (3D) excu
rsions with one dimensional (1D) diffusion along the DNA\, also known as f
acilitated diffusion. \n\nCombining 3D and 1D search in this way implies t
hat search times depend on the DNA's specific 3D organisation. This has be
en shown analytically using classical polymer models with known looping pr
obabilities and in simulations. But\, how this happens in humans and other
eucaryotes where DNA organisation is more complex is an open problem. The
oretically\, researchers have been hampered by the lack of knowledge of ho
w eukaryotic DNA is organised\, but experimental development of so-called
Chromosome Conformation Capture techniques\, where state-of-the-art is HiC
\, have partly remedied this problem. In short\, HiC experiments give a g
enome-wide heat map of physical contact frequencies\, or looping probabil
ities\, between all DNA fragments pairs in the cell nucleus down to 1 kilo
-basepair resolution. \n\nIn our recent work\, we have used HiC data as a
proxy for the *in-vivo* DNA looping probabilities to model protein search
on human chromosomes. By mapping the search onto a network problem\, with
DNA segments as nodes and physical contacts as links\, we calculate the
mean-first passage time to all nodes for all human chromosomes. For exampl
e\, we find that DNA segments that harbour gene starts have small search t
imes and are thus easy to find.\n\nhttps://zakopane.if.uj.edu.pl/event/4/c
ontributions/138/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/138/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Complex dynamics of genomic sites in the nucleus of live cells
DTSTART;VALUE=DATE-TIME:20170905T123000Z
DTEND;VALUE=DATE-TIME:20170905T130000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-137@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Yuval Garini (Bar Ilan University)\nThe DNA in a hum
an cell is ~3 meters long. It is dynamic and yet is well organized. What a
re the mechanisms that organizes the chromatin and chromosomes in the nucl
eus?\n\nUsing dynamic methods in live cells\, we identified a mechanism th
at maintains the genome organization in the nucleus. We claim that lamin A
forms chromatin loops by lamin A dimers (or oligomers) thereby restrictin
g the chromatin dynamics significantly. This can explain the maintenance o
f chromosome territories in the nucleus.\n \nWe use advanced methods for s
tudying the dynamics of chromatin and proteins in the nucleus. These metho
ds are based on measuring the signal and fluctuations of fluorescent molec
ules and the use of biophysical models based on Smoluchowski equation and
modified diffusion equations. It allowed us to identify that ~50% of a cru
cial protein named lamin A is bound to the chromatin everywhere in the nuc
leus interior.\n\nSpecific sites along the chromatin commonly exhibit anom
alous diffusion (alpha in the range of 0.4-0.7). When lamin A is eliminate
d\, the diffusion dramatically changes to normal diffusion\, which is diff
icult to understand. By analyzing the diffusion in specific time-windows\,
we show that the dynamics of the genomic sites is bimodal\; they are nor
mally constrained and exhibit anomalous diffusion\, except for short time-
windows where they super-diffuse.\n\nBy using single-molecule methods incl
uding tethered particle motion (TPM) and atomic force microscopy (AFM) we
show the type of bonds formed by lamin A and demonstrate the actual bondin
g that lamin A forms on the DNA.\n\nhttps://zakopane.if.uj.edu.pl/event/4/
contributions/137/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/137/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Understanding cooperativity and dynamic disorder in fluctuating en
zymes at the single molecule level
DTSTART;VALUE=DATE-TIME:20170905T150000Z
DTEND;VALUE=DATE-TIME:20170905T152000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-136@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Srabanti Chaudhury (Indian Institute of Science Educ
ation and Research)\nSingle molecule techniques allow researchers to study
not only the average reaction rates but also the statistics of single mol
ecule transitions in the context of enzymatic reactions. Such measurements
show that the slow fluctuation between enzyme conformers can lead to fluc
tuations in the rate constants of the reaction\, a phenomenon known as dyn
amic disorder [1]. The most accessible characteristics of reactivity fluct
uations in individual enzyme molecules relate to the second moment of turn
over time statistics and is defined by the randomness parameter. Measureme
nt of this quantity can serve as an indicator for dynamic disorder in the
catalytic step of the reaction. Such enzymatic fluctuations can also lead
to deviation in Michaelis- Menten behavior of the reaction rates and the e
mergence of dynamic cooperativity in single enzymes. In this talk I will d
iscuss about a few such biologically relevant enzyme reaction schemes with
multiple binding sites and slow fluctuations between the binding sites. I
will propose a simple analytical model based on the first passage time di
stribution between successive catalytic turnover events that can be used t
o calculate the average reaction rate and obtain closed-form analytical ex
pressions of the randomness parameter in terms of constant parameters [2\,
3]. Our results confirm that slow fluctuations between the free enzyme co
nformers can lead to dynamic cooperativity whereas dynamic disorder at hig
h substrate concentration is determined only by the slow fluctuations betw
een the enzyme – substrate conformers [4]. Our theoretical findings are
well supported by comparison with experimental data on the single enzyme b
eta-galactosidase [5].\n\n$ $\n \n[1] S. C. Kou\, B. J. Cherayil\, W. M
in\, B. P. English and X. S. Xie\, J. Phys. Chem. B\, 109\, 19068-19081 (2
005).\n\n[2] S. Chaudhury\, J. Cao and N. A. Sinitsyn\, J. Phys. Chem. B\,
117\, 503-509 (2013).\n\n[3] S. Chaudhury\, J. Phys. Chem. B\, 118\, 1040
5-10412 (2014).\n\n[4] D. Singh and S. Chaudhury\, J. Chem. Phys. 146\, 14
5103 (2017).\n\n[5] B. P. English\, W. Min\, A. M. van Oijen\, K. T. Lee\,
G. Luo\, H. Sun\, B. J. Cherayil\, S. C. Kou and X. S. Xie\, Nat. Chem. B
iol.\, 2\, 87-92 (2006).\n\nhttps://zakopane.if.uj.edu.pl/event/4/contribu
tions/136/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/136/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carnot efficiency is attainable in an irreversible process
DTSTART;VALUE=DATE-TIME:20170905T141500Z
DTEND;VALUE=DATE-TIME:20170905T143500Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-134@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Jaesung Lee (Korea Institute for Advanced Study)\nIn
thermodynamics\, there exists a conventional belief that “the Carnot ef
ficiency is reachable only when a process is reversible.” However\, ther
e is no theorem proving that the Carnot efficiency is impossible in an irr
eversible process. Here\, we show that the Carnot efficiency is attainable
in an irreversible process through investigation of the Feynman-Smoluchow
ski ratchet (FSR). Thus\, this finding gives us a new possibility to devel
op a novel design of thermodynamic engines with high efficiency regardless
of the reversibility. Our result also answers the long-standing question
of whether the Carnot efficiency is possible in the FSR.\n\nhttps://zakopa
ne.if.uj.edu.pl/event/4/contributions/134/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/134/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Switching of wake-mediated interaction caused by blockade effect a
nd collective wake formation
DTSTART;VALUE=DATE-TIME:20170906T101500Z
DTEND;VALUE=DATE-TIME:20170906T103000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-132@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Oleksandr Kliushnychenko (Institute of Physics\, NAS
U\, Kiev\, Ukraine)\nThe effect of concentration-dependent switching of th
e wake-mediated interaction between obstacles in a gas flow of interacting
Brownian particles is presented. When increasing bath fraction exceeds ha
lf-filling\, the interaction between obstacles switches from effective att
raction to repulsion or vice-versa\, depending on the mutual alignment of
obstacles with respect to the gas flow. It is shown that for an ensemble o
f small and widely separated obstacles the dissipative interaction takes t
he form of induced dipole-dipole interaction governed by an anisotropic sc
reened Coulomb-like potential. This allows one to give a qualitative pictu
re of the interaction between obstacles and explain switching effect as a
result of changes of anisotropy direction. The non-linear blockade effect
is shown to be essential near closely located obstacles\, that manifests i
tself in the additional screening of gas flow and generation of a pronounc
ed step-like profile of gas density distribution. It is established that b
ehavior of the magnitude of dissipative effective interaction is\, general
ly\, non-monotonic in relation to both the bath fraction and the external
driving field. It has characteristic peaks corresponding to the situation
when the common density "coat" formed around the obstacles is most pronoun
ced. The possibility of the dissipative pairing effect and the effects of
enhanced shock-wave formation of wake profiles under the collective scatte
ring of gas flow on impurities are discussed. All the results are obtained
within the classical lattice-gas model.\n\nhttps://zakopane.if.uj.edu.pl/
event/4/contributions/132/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/132/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dynamics of self-propelled colloidal particles in viscoelastic flu
ids
DTSTART;VALUE=DATE-TIME:20170906T094500Z
DTEND;VALUE=DATE-TIME:20170906T100000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-130@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Juan Ruben Gomez Solano (Universitaet Stuttgart)\nTh
e motion of many natural microswimmers\, e.g. bacteria and spermatozoa\, c
ommonly takes place in viscoelastic fluids and under confinement close to
solid walls. The understanding of their swimming mechanisms has triggered
a lot of experimental and theoretical work in recent years as well as the
development of self-propelled colloidal particles. Although the motion of
such synthetic microswimmers in Newtonian fluids has been extensively stud
ied\, and they are nowadays a paradigm in non-equilibrium soft matter [1]\
, so far only few investigations have focused on the swimming of microorga
nisms in viscoelastic fluids [2]. In our work\, we experimentally investig
ate the dynamics of spherical colloidal microswimmers in viscoelastic flui
ds\, which are self-propelled by local demixing of a critical binary polym
er mixture induced by laser illumination. Unlike the motion in Newtonian l
iquids\, we observe a pronounced enhancement of rotational diffusion with
increasing particle velocity [3]\, thereby revealing an unexpected breakdo
wn of the Stokes-Einstein relation for the particle orientation. We demons
trate that this non-equilibrium effect originates from the coupling betwee
n the directed particle motion\, and the slow microstructural relaxation o
f the surrounding fluid [4]. Furthermore\, we show that such a coupling gi
ves rise to a wealth of new non-equilibrium phenomena with no counterpart
in Newtonian liquids\, e.g. for the particle translational and rotational
dynamics close to solid walls\, as well as for collective motion in crowde
d environments.\n\n$ $\n\nReferences\n\n$ $\n\n[1] C. Bechinger\, R. Di Le
onardo\, H. Löwen\, C. Reichhardt\, G. Volpe\, and G. Volpe\, Rev. Mod. P
hys. 88\, 045006 (2016).\n\n[2] A. Patteson\, A. Gopinath\, and P. E. Arra
tia\, Curr. Opin. Colloid Interface Sci.\, 21\, 86 (2016).\n\n[3] J. R. Go
mez-Solano\, A. Blokhuis\, and C. Bechinger\, Phys. Rev. Lett. 116\, 13830
1 (2016).\n\n[4] J. R. Gomez-Solano\, and C. Bechinger\, New J. Physics 17
\, 103032 (2015).\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions/1
30/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/130/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Quantum measurements of work fluctuations
DTSTART;VALUE=DATE-TIME:20170905T101000Z
DTEND;VALUE=DATE-TIME:20170905T103000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-129@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Karen Hovhannisyan (Department of Physics and Astron
omy\, University of Aarhus\, DK-8000 Aarhus C\, Denmark)\nWork is one of t
he central notions in (statistical) mechanics and thermodynamics. In fact\
, it is *the* quantity that connects thermodynamics and mechanics. Unlike
in the macroscopic regime\, at the microscale\, fluctuations of work becom
e relevant and sometimes even dominant\, which makes their characterizatio
n a question of fundamental importance. In classical mechanics\, the solut
ion is straightforward: to each phase-space trajectory\, one assigns the v
alue of the work performed along it. In the quantum regime\, however\, the
re is no notion of trajectory\, and defining fluctuations of work becomes
problematic\, especially for coherent processes. In this work\, we approac
h the problem in the most general form\, and\, therefore\, consider closed
systems and ask whether there exists at all a definition satisfying two m
inimal conditions: (1) Average work should be given by the difference of i
nitial and final average energies of the system and (2) the classical limi
t should be respected. Among many possible ways to define the classical li
mit\, we choose arguably the weakest one -- the Jarzynski equality must ho
ld for all thermal initial states. First\, we prove that the only work mea
surement scheme satisfying (2) is the widely-used two-projective-energy-me
asurements (TPEM) scheme\, where the energy is measured both at the beginn
ing and at the end of the process. Second\, we show that there exists no s
tate-independent measurement protocol that can simultaneously satisfy (1)
for all states and coincide with the TPEM scheme for energy-diagonal initi
al states. Having thus ruled out the possibility of existence of universal
\, state-independent generalized quantum measurements for work estimation\
, we go on asking whether there exist state-dependent schemes capable of s
atisfying both (1) and (2). It turns out that such measurements do exist\,
and we describe a simple and intuitive scheme based on the notion of *erg
otropy* and its fluctuations as given by a time-reversed TPEM scheme.\n\nh
ttps://zakopane.if.uj.edu.pl/event/4/contributions/129/
LOCATION: 30
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/129/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Characterizing rare fluctuations in soft particulate flows
DTSTART;VALUE=DATE-TIME:20170904T150000Z
DTEND;VALUE=DATE-TIME:20170904T152000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-128@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: S. H. E. Rahbari (KIAS)\nSoft particulate media incl
ude a wide range of systems involving athermal dissipative\n\nparticles bo
th in non-living and biological materials. Characterization of flows of pa
rticulate\n\nmedia is of great practical and theoretical importance. A fas
cinating feature of these systems\n\nis the existence of a critical rigidi
ty transition in the dense regime dominated by highly\n\nintermittent fluc
tuations that severely affects the flow properties. Here\, we unveil the\n
\nunderlying mechanisms of rare fluctuations in soft particulate flows. We
find that rare\n\nfluctuations have different origins above and below the
critical jamming density and become\n\nsuppressed near the jamming transi
tion. We then conjecture a time-independent local\n\nFR\, which we verify
numerically\, and that gives rise to an effective temperature. We\n\ndiscu
ss similarities and differences between our proposed effective temperature
with the\n\nconventional kinetic temperature in the system by means of a
universal scaling collapse.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contr
ibutions/128/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/128/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Progressive quenching
DTSTART;VALUE=DATE-TIME:20170904T143000Z
DTEND;VALUE=DATE-TIME:20170904T150000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-127@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Ken Sekimoto (Univ. Paris-Diderot & ESPCI)\nWe will
describe the basic idea and some applications of the processes when the sy
stem's degrees of freedom are progressively quenched. This work has been d
one in collaboration with Bruno Ventejou and Michael Etienne (paper in pre
paration).\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions/127/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/127/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Long range correlations in dynamical systems and in observed data
DTSTART;VALUE=DATE-TIME:20170904T153500Z
DTEND;VALUE=DATE-TIME:20170904T160500Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-126@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Holger Kantz (Max Planck Institute for the Physics o
f Complex Systems)\nLong range temporal correlations (LRC) \nin noise-like
signals can be detected through\nthe scaling behaviour of the mean square
d displacement (MSD) of the pathes\nwhich one obtains by integrating over
the signal. Detrended fluctuation\nanalysis has become a standard tool whi
ch beyond a simple MSD analysis is able\nto remove the effects of trends o
n the signal. In the first part of this talk\nwe present a sketch of theor
etical considerations which give a better\njustification for DFA than it h
as been presented before. In the second part\,\nwe show the consequences o
f LRC on the convergence of time averages\, on the\nprobability for large
deviations\, and for the estimation of trends. In order\nto transfer these
findings to real world data\, we need paradigmatic data\nmodels with a mi
nimum of free parameters.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contrib
utions/126/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/126/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Harmonic spectral components in time sequences of Markov correlat
ed events with an application to EEG and MEG signals
DTSTART;VALUE=DATE-TIME:20170904T143000Z
DTEND;VALUE=DATE-TIME:20170904T150000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-124@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Anna Carbone (Politecnico di Torino)\nThe talk is ad
dressed to the analysis of time sequences of Markov correlated events giv
e rise to a line power spectrum having a relevant physical interest. In pa
rticular\, Markov matrices able to represent closed loop sequences of even
ts with arbitrary distribution\, generated in a steady physical condition\
, generate a large set of line spectra\, covering a very broad frequency r
ange. The spectral lines is given by a matrix equation based on a generali
zed Markov matrix involving the Fourier transform of the distribution func
tions representing the time intervals between successive events of the seq
uence. The theoretical power spectra is then applied to describe the emerg
ence of a broad set of waves found in the electro and magneto-encephalogra
ms\, whose frequency ranges from 0.5 to about 40 Hz\, in terms of the effe
cts produced by chains of firing neurons within the complex neural network
of the brain. Synchronized closed loop sequences of firing neurons are co
nsidered and a few numerical simulations are reported.\n\nhttps://zakopane
.if.uj.edu.pl/event/4/contributions/124/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/124/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lyapunov spectral analysis of randomly coupled systems
DTSTART;VALUE=DATE-TIME:20170906T075000Z
DTEND;VALUE=DATE-TIME:20170906T080500Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-121@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Anandamohan Ghosh (Indian Institute of Science Educa
tion and Research Kolkata)\nThe collective dynamics of coupled units arran
ged on a random network exhibits complex dynamics ranging from synchroniza
tion to spatio-temporal chaos. It is often important to identify if pertur
bations spread across the network or are confined locally\, in\nthe presen
ce of quenched disorder. The spectrum of Lyapunov exponents\, quantifying
the sensitivity to perturbations\, can be analyzed analogously to the spec
trum of eigenvalues of a random matrix. Simple tools of Random Matrix Theo
ry applied to the Lyapunov spectrum reveal\nuniversal features and localiz
ation properties emergent from classical deterministic dynamics.\n\n$ $\n\
nSK Patra & A Ghosh\, PRE **93** (3)\, 032208 [2016]\, \n\nSK Patra & A Gh
osh\, EPL **117** (6)\, 60002 [2017].\n\nhttps://zakopane.if.uj.edu.pl/eve
nt/4/contributions/121/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/121/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Transient anomalous diffusion in ratchet systems
DTSTART;VALUE=DATE-TIME:20170904T123000Z
DTEND;VALUE=DATE-TIME:20170904T130000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-120@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Jerzy Luczka (University of Silesia)\nAnomalous diff
usion can be detected in various systems. We show that\nanomalous diffusio
n may emerge in a straightforward\, one dimensional\nclassical nonequilibr
ium dynamics of a Brownian particle moving in a ratchet\npotential and dri
ven by both an unbiased time-periodic force and thermal\nfluctuations of G
aussian nature. In a tailored parameter regime for which the\ndeterministi
c counterpart of the system is non-chaotic\, the mean square\ndeviation of
the Brownian particle coordinate evolves in three following stages:\ninit
ially as superdiffusion\, next as subdiffusion and finally as normal diffu
sion in\nthe asymptotic long time limit. The lifetimes of superdiffusion a
nd subdiffusion\ncan be controlled by system parameters and can last many
many orders longer\nthan characteristic times of the system\, thus being c
omfortably detectable\nexperimentally. The findings are distinct from exis
ting knowledge and suggest\nreconsideration of generally accepted opinion
that anomalies are due to large\nand rare fluctuations that are characteri
zed by broad distributions with power-\nlaw tails.\nWe explain the underly
ing mechanism standing behind the emergence of\ndiffusion anomalies and co
ntrol of their regimes which are related to ergodicity\nof the system and
ultraslow relaxation of the particle velocity towards its non-\nequilibriu
m stationary state.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions
/120/
LOCATION: 30
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/120/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Evolution of information within sEMG signals in the process of tre
atment
DTSTART;VALUE=DATE-TIME:20170905T152000Z
DTEND;VALUE=DATE-TIME:20170905T153500Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-119@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Lukasz Machura (University of Silesia)\nColorectal c
ancer remains to be one among 5 most common types of cancer found for both
men and women. Typically multimodal treatment including surgery\, radiati
on and chemotherapy is applied. The electrical activity of external anal s
phincter can serve as a potential source of knowledge of the actual state
of the patient. The signals registered by means of the surface electromyog
raphy are typically highly complex thus create a challenge for its descrip
tion. The loss of such complexity is often related with the pathological s
tate. Entropy often serves as one of the nonlinear methods capable to gras
p an internal structure of the signal together with the insight into its c
omplexity over a wide range of scales. In this work we would discuss the u
sefulness of the most common techniques for the description of the loss of
information carried out by the biomedical signals.\n\nhttps://zakopane.if
.uj.edu.pl/event/4/contributions/119/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/119/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eliminating ensembles from equilibrium statistical physics: Maxwel
l's demon\, Szilard's engine\, and thermodynamics via entanglement
DTSTART;VALUE=DATE-TIME:20170908T093000Z
DTEND;VALUE=DATE-TIME:20170908T100000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-117@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Wojciech Zurek (Los Alamos)\nA system in equilibrium
does not evolve: time independence is its telltale characteristic. Howeve
r\, in Newtonian physics microstate of an individual system (a point in it
s phase space) evolves incessantly in accord with its equations of motion.
Ensembles were introduced in XIX century to bridge that chasm between con
tinuous motion of phase space points in Newtonian dynamics and stasis of t
hermodynamics: While states of individual classical system inevitably evol
ve\, a phase space distribution of such states -- an ensemble -- can be ti
me-independent. I show that entanglement (e.g.\, with the environment) can
yield time-independent equilibrium in an individual quantum system. This
allows one to eliminate ensembles -- an awkward stratagem introduced to re
concile thermodynamics with Newtonian mechanics -- and use individual syst
em interacting with its heat bath to represent equilibrium and to elucidat
e the role of information and measurements in physics. Thus\, in our quant
um Universe one can practice statistical physics without ensembles. I illu
strate classical difficulties and the need for ensembles with Szilard's en
gine\, and show that in a similar quantum engine a single system entangled
with the environment is enough. The role of Maxwell's demon (which in thi
s quantum context resembles Wigner's friend) is also discussed.\n\nhttps:/
/zakopane.if.uj.edu.pl/event/4/contributions/117/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/117/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Principles of design of artifical and biological molecular engines
DTSTART;VALUE=DATE-TIME:20170905T120000Z
DTEND;VALUE=DATE-TIME:20170905T123000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-113@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Robert Holyst (Institute of Physical Chemistry PAS)\
nMolecular engines are based on different principles than macroscopic moto
rs. I will present two examples: artifical engine created in our lab namel
y nano-wind mill driven by evaporation of water and the motion of kinesin
motor walking on microtubules. This biological engine\, of incredibly effi
ciency\, is driven by thermal noise\, while consumption of ATP is mainly u
sed for detachment of its parts from microtubule. The key principle in its
design is the proper synchronization of its diffusion driven by thermal n
oise with the hydrolysis of ATP\, detachment of ADP and further attachemen
t of ATP\, as we show in our experiment. Our nano-wind mill does work due
to spatial organization and synchronization of many motors\, which in conc
erto respond to flux of water. \n\n$ $\n\nThe presentation was supported
by the National Science Centre\, Poland within the grant Maestro UMO-2016/
22/A/ST4/00017.\n\n$ $\n\n[1] K. Sozanski et al Small Crowders Slow Down K
inesin-1 Stepping by Hindering Motor Domain Diffusion\, PHYSICAL REVIEW LE
TTERS\, 115\, 218102\, (2015).\n\n[2] P.Niton et al A "nano-windmill" driv
en by a flux of water vapour: a comparison to the rotating ATPase\, NANOSC
ALE 5\, 9732-9738\, (2013).\n\n[3] K.Sozanski et al Activation Energy for
Mobility of Dyes and Proteins in Polymer Solutions: From Diffusion of Sin
gle Particles to Macroscale Flow\, PHYSICAL REVIEW LETTERS 111\, 228301\
, (2013).\n\n[4] T.Kalwarczyk et al Motion of nanoprobes in complex liquid
s within the framework of the length-scale dependent viscosity model\, ADV
ANCES IN COLLOID AND INTERFACE SCIENCE 223\, 55-63\, (2015).\n\nhttps://
zakopane.if.uj.edu.pl/event/4/contributions/113/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/113/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marian Smoluchowski his life and works
DTSTART;VALUE=DATE-TIME:20170904T073000Z
DTEND;VALUE=DATE-TIME:20170904T080000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-110@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Bogdan Cichocki (Instytut Fizyki Teoretycznej Uniwer
sytetu Warszawskiego)\n$\\\;$\n\nhttps://zakopane.if.uj.edu.pl/event/4/con
tributions/110/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/110/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Some analytical methods of solutions to nonlinear diffusion equati
on
DTSTART;VALUE=DATE-TIME:20170905T151000Z
DTEND;VALUE=DATE-TIME:20170905T153000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-108@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Zbigniew Grzywna (Silesian University of Technology\
, Faculty of Chemistry)\nFrom a reach family of nonlinear diffusion equati
ons the Burgers’ and Porous Medium equations have been chosen to demonst
rate the possibility of getting their analytical solutions of some practic
ally important IBVs problems. A comparison between numerical and analytica
l solutions have also been provided.\n\nhttps://zakopane.if.uj.edu.pl/even
t/4/contributions/108/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/108/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Where are we with the understanding of a collective dynamics of qu
asi-periodically perturbed particles?
DTSTART;VALUE=DATE-TIME:20170904T150000Z
DTEND;VALUE=DATE-TIME:20170904T153000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-105@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Aneta Stefanovska (Physics Department\, Lancaster Un
iversity)\nMarian Smoluchowski provided an explanation of the Brownian mot
ion of particles. The equation for a particle's displacement in space that
he proposed in 1906 provided an important basis for the theory of stochas
tic processes. This initiated the whole new field of stochastic dynamics t
hat blossomed during the last century. In this talk we will discuss what h
appens to the particles if external deterministic forces are continuously
imposed on them\, and how a collective dynamics emerges to describe partic
les under external forcing.\n\n$ $\n\nThe time-varying\, non-autonomous\,
dynamics that emerges under external forcing has been detected in living\,
as well as man-made\, systems. Currently\, however\, non-autonomous dynam
ics is commonly considered easy to deal with - either by transforming it i
nto autonomous dynamics\, for which an abundance of tractable analytic too
ls is available\, or by considering it as belonging to the class of stocha
stic systems where\, again\, numerous analytic approaches exist. \n\n$ $\n
\nIn the talk\, we will argue that there is a need for a theory of a new c
lass of non-autonomous systems with time-varying dynamics due to external
forcing. We will first present examples of non-autonomous dynamics measure
d from biological cells\, the cardiovascular system and the brain\, as wel
l as from experiments with electrons on the surface of liquid helium. \n\n
$ $\n\nThen\, we will review briefly the existing numerical methods for th
e detection and analysis of non-autonomous dynamics from data. In the thir
d part of the talk\, we will summarise our current work on non-autonomous
dynamics when the external perturbation is of quasi-periodic origin\, argu
ing that most of the challenging problems still remain unsolved and that o
ur better understanding of non-autonomous\, finite-time dynamics could mak
e a similarly significant contribution to that of Smoluchowski more than 1
00 years ago\, thereby advancing our understanding of nature in general. \
n\n$ $\n\nY Shiogai\, A Stefanovska\, PVE McClintock\, Nonlinear dynamics
of cardiovascular ageing\, Phys. Rep. **488**: 51-110\, 2010 \n\nYF Suprun
enko\, PT Clemson\, A Stefanovska\, Chronotaxic systems: A new class of se
lf-sustained nonautonomous oscillators\, Phys. Rev. Lett. **111**: 024101\
, 2013 \n\nPT Clemson\, A Stefanovska\, Discerning non-autonomous dynamics
\, Phys. Rep. **542*: 297-368\, 2014 \n\nP Clemson\, G Lancaster\, A Stefa
novska\, Reconstructing time-dependent dynamics\, Proc. IEEE 104: 223-241\
, 2016 \n\nT Stankovski\, T Pereira\, PVE McClintock\, A Stefanovska\, Cou
pling functions: Universal insights into dynamical interaction mechanisms\
, Rev. Mod. Phys. in press\, 2017\n\nhttps://zakopane.if.uj.edu.pl/event/4
/contributions/105/
LOCATION: 30
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/105/
END:VEVENT
BEGIN:VEVENT
SUMMARY:What is Complexity?
DTSTART;VALUE=DATE-TIME:20170906T120000Z
DTEND;VALUE=DATE-TIME:20170906T123000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-102@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Grassberger Peter (Forschungszentrum Juelich)\nWe ha
ve now institutes for complex systems\, conferences on complex systems\, a
nd journals of complex systems. So most of us have a good feeling what is
a complex system. But what is complexity itself\, and is there any way to
measure it? The answer to this is surprisingly non-trivial. Indeed\, there
is no universally agreed concept\, according to which a bacterium is more
complex than a human. But how can we do complex systems science\, if we c
annot measure complexity? How would we do thermodynamics\, if we could not
measure temperature? In this talk I will not give answers\, but I will di
scuss several approaches that give partial answers at least.\n\nhttps://za
kopane.if.uj.edu.pl/event/4/contributions/102/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/102/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Transport of granular materials in turbulent flows (or sand in str
eams)
DTSTART;VALUE=DATE-TIME:20170905T100000Z
DTEND;VALUE=DATE-TIME:20170905T103000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-101@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Rina Schumer (Desert Research Institute)\nThe notion
that the kinematics of sediment transported in streams is well-represente
d by quasi-random motions amenable to Smoluchowski-type diffusion was firs
t proposed by Hans Albert Einstein at his renowned father’s suggestion.
Since then\, there have been attempts to adapt formalisms of diffusion an
d anomalous diffusion developed for thermodynamic systems to the start-and
-stop and spatially variable behavior of sediment transport. New high-res
olution measurements of sediment particle motions in laboratory flumes ind
icate that the mean squared displacement of tracer particles \, when treat
ed as a plume reflects a nonlinear increase in the variance in hop distanc
es with increasing travel time. Ensemble calculations of MSD indicates a t
ransition from correlated random walks to normal diffusion. Normal behavi
or also is reflected in the particle velocity autocorrelation function. S
patial variations in particle entrainment produce a flux from sites of hig
h entrainment toward sites of low entrainment\; thus\, an entrainment form
of flux and continuity equations are used for describing statistically ex
pected transport behavior.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contri
butions/101/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/101/
END:VEVENT
BEGIN:VEVENT
SUMMARY:An anomalous diffusion approach to stochastic modeling for single
molecule tracking of receptors and proteins at cell surface
DTSTART;VALUE=DATE-TIME:20170905T131000Z
DTEND;VALUE=DATE-TIME:20170905T133000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-100@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Aleksander Weron (Hugo Steinhaus Center\, Faculty of
Pure and Applied Mathematics\, Politechnika Wrocławska)\nThe Nobel Prize
in Physiology or Medicine 2009 was awarded for the discovery of how chrom
osomes are protected by telomeres and the enzyme telomerase. The Nobel Pri
ze in Chemistry 2012 was given for studies of G-protein-coupled receptors
and the Nobel Prize in Chemistry 2014 was presented for the development of
superresolved fluorescence microscopy. Definitely\, the research behind t
hese Nobel Prizes - awarded within a short few years period - have caused
a dramatic increase of experimental and theoretical achievements in the st
udy of living cells around the world. \n\n$ $\n\nUltimately the accessibil
ity of quantitative data prompted many statistical physicists and applied
mathematicians to turn their attention to the study of single biological c
ells and the physiological processes running off therein. For example\, G
protein-coupled receptors mediate the biological effects of many hormones
and neurotransmitters and are major pharmacological targets\, [1-4]. Howe
ver\, how receptors and G proteins interact and couple at the plasma membr
ane is not well understood. \n\n$ $\n\nA phenomenon observed in recent sin
gle-molecule experiments is anomalous diffusion\, which largely departs fr
om the classical Brownian diffusion theory since the mean-squared displace
ment (MSD) is nonlinear. The most popular theoretical models that are comm
only employed are: continuous-time random walk (CTRW)\, fractional Brownia
n motion (FBM)\, fractional Langevin equation (FLE) and autoregressive fr
actionally integrated moving average (ARFIMA).\n\n$ $\n\nUsing single-mol
ecule imaging data one can visualize motion of individual receptors and G
proteins at the surface of living cells [2]. Here\, we provide a detailed
anomalous diffusion classification based on MSD analysis [5] for some exem
plary experimental data from [2].\n\n$ $\n\n[1] K. L. Pierce\, R.T. Premon
t\, R.T. & R.J. Lefkowitz\, Seven-transmembrane receptors\, Nat. Rev. Mol
. Cell. Biol. 3\, 639-650 (2002).\n\n[2] D. Calebiro\, et al. Single-mole
cule analysis of fluorescently labeled G-protein-coupled receptors reveals
complexes with distinct dynamics and organization\, Proc. Natl. Acad. Sc
i. U.S.A. 110\, 743-748 (2013).\n\n[3] R. 0. Dror\, et al. Structural basi
s for nucleotide exchange in heterotrimeric G proteins\, Science 348\, 136
1-1365 (2015).\n\n[4] B. T. DeVree\, et al. Allosteric coupling from G pr
otein to the agonist-binding pocket in GPCRs\, Nature 535\, 182-186 (2016)
.\n\n[5] K. Burnecki\, E. Kepten\, Y. Garini\, G. Sikora\, & A. Weron\, Es
timating the anomalous diffusion exponent for single particle tracking dat
a with measurement errors\, Sci. Rep. 5\, 11306 (2015).\n\nhttps://zakopa
ne.if.uj.edu.pl/event/4/contributions/100/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/100/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Looping and direct transit in Brownian particle escape from force-
biased and entropic traps
DTSTART;VALUE=DATE-TIME:20170906T070000Z
DTEND;VALUE=DATE-TIME:20170906T073000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-96@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Sergey Bezrukov (National Institutes of Health\, Bet
hesda\, MD 20892\, USA)\nRecent experiments with single biological nanopor
es\, as well as single-molecule fluorescence spectroscopy and pulling stud
ies of protein and nucleic acid folding raised a number of questions that
stimulated theoretical and computational studies of the barrier crossing d
ynamics. We focus on trajectories of Brownian particles that escape from
traps either in the presence of an external force or an entropy potential
of a cone. To gain new insights into the escape dynamics\, we divide the
trajectories into two segments: a looping segment\, when a particle unsucc
essfully tries to escape returning to the trap bottom\, and a direct-trans
it segment\, when it finally escapes moving without returning to the botto
m. Analytical expressions are derived for the Laplace transforms of the p
robability densities of the durations of the two segments. These expressi
ons are used to find the mean looping and direct-transit times as function
s of the external force or entropy potential. It turns out that the force
/potential dependences of the two mean times are qualitatively different.
The mean looping time monotonically increases with the force pushing the
particle to the trap bottom or with the increasing entropic barrier at the
exit. In contrast to this intuitively appealing result\, the mean direct
-transit time shows rather counterintuitive behavior: it is reduced by for
ce application independently of whether the force pushes the particles to
the trap bottom or to the trap exit and it turns out to be insensitive to
the entropy potential.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributi
ons/96/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/96/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Entropy facilitated active transport
DTSTART;VALUE=DATE-TIME:20170904T090000Z
DTEND;VALUE=DATE-TIME:20170904T093000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-95@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: J. Miguel Rubi (University of Barcelona)\nWe show ho
w active transport of ions can be interpreted as an entropy facilitated pr
ocess. In this interpretation\, a particular change in the pore geometry t
hrough which substrates are transported gives rise to a driving force. Thi
s chemical energy provided by the chemical reaction is then used to create
a protein geometry favorable for the uphill transport of ions. Attempts t
o estimate the energy available by this change in several proteins shows t
hat an entropic contribution from the pore geometry is significant. We dis
cuss how this effect can be used to understand how energy transduction in
active transport can take place over a relatively long distance.\n\nhttps:
//zakopane.if.uj.edu.pl/event/4/contributions/95/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/95/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nonergodic dynamics in the plasma membrane of living cells
DTSTART;VALUE=DATE-TIME:20170905T070000Z
DTEND;VALUE=DATE-TIME:20170905T073000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-94@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Diego Krapf (Colorado State University)\nTracking in
dividual proteins on the surface of live mammalian cells reveals complex d
ynamics involving anomalous diffusion and clustering into nanoscale domain
s. Theoretical models show that anomalous subdiffusion can be caused by di
fferent processes. Here we study the nonergodic dynamics of voltage gated
ion channels in human embryonic kidney (HEK) cells and in hippocampal neur
ons. We perform time series and ensemble analysis of extensive single-mole
cule tracking. We show that in HEK cells\, weak ergodicity breaking is fou
nd to be maintained by immobilization events that take place when the prot
eins are captured within clathrin-coated pits. However\, in hippocampal ne
urons\, ergodicity breaking is caused by transient confinement into nanocl
usters with a 230-nm mean diameter. Ergodicity breaking in these cells is
manifested in two different ways. First\, significant differences are obse
rved between time- and ensemble-averaged mean square displacements. Second
\, a dynamical functional test unmasks ergodicity breaking at the individu
al trajectory level.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contribution
s/94/
LOCATION: 30
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/94/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dynamics of diluted confined systems
DTSTART;VALUE=DATE-TIME:20170908T080000Z
DTEND;VALUE=DATE-TIME:20170908T081500Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-92@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Paolo Malgaretti (Max Planck Institute for Intellige
nt Systems)\nRecent studies have shown that the presence of boundaries can
strongly affect the dynamics of physical systems.\nFor example\, negative
mobility and fluid recirculation occurs when an electrolyte is driven in
a varying-section channels[1]\, rectification occurs active particles such
as molecular motors[2] or active swimmers[3] moving in inhomogeneous envi
ronments and off--diagonal terms in the mobility tensor appears for binary
mixtures of hard sphere confined between corrugated plates[4]. \nClearly
the interplay between the confined systems and the confining walls is maxi
mized when the typical length scales of the confined system match with the
size of the confining walls. \nIn this contribution I will discuss the ge
neral mechanisms at the basis of the interplay between the confined system
and the confinement. In particular\, by means of a few example I will sho
w how analytical insight into the possible regimes can be attained. \n\n$
$\n\nFirstly\, I will discuss how the electrostatic interaction between a
tracer particle and the channel walls affect particle dynamics. In such a
scenario\, novel dynamical regimes such as negative mobility[1] and asymme
tric passage times[5] can arise due to the interplay between the electrost
atic interactions and the local entropic drive induced by the varying--sec
tion channel. \n\n$ $\n\nSecondly I will show how the insight gained by su
ch studies can be transferred to the problem of polymer translocation acro
ss varying-section channels. \nIn particular\, I will show that\, under su
itable approximation\, it is possible to reduce the problem of polymer tra
nslocation across varying-section channels to that of a single point--like
particle under an effective potential that can be derived from the equili
brium local free energy of the polymer. Interestingly\, the model predicts
a non-monotonous dependence on the translocation time of the polymer acro
ss the pore appears. By comparing with Brownian dynamics simulations I wi
ll discuss the quantitative reliability of the point-like approximation as
well as its regime of validity[6]. \n\n$ $\n\n[1] P. Malgaretti\, I. Pago
nabarraga and M.J. Rubi: PRL **113** 128301 (2014)\n\n[2] P. Malgaretti\,
I. Pagonabarraga and M.J. Rubi: Phys. Rev. E **85** 010105 (2012)\n\n[3] P
. Malgaretti and Holger Stark\, J. Chem. Phys. **146**\, 174901 (2017)\n\n
[4] U. Marini Bettolo Marconi\, P. Malgaretti and I. Pagonabarraga: J. Che
m. Phys. **143** 184501 (2015)\n\n[5] P. Malgaretti\, I. Pagonabarraga an
d M.J. Rubi: J. Chem. Phys. **144** 034901 (2016)\n\n[6] V. Bianco and P.
Malgaretti J. Chem. Phys. **145** 114904 (2016)\n\nhttps://zakopane.if.u
j.edu.pl/event/4/contributions/92/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/92/
END:VEVENT
BEGIN:VEVENT
SUMMARY:(Quantum)-Thermodynamics at strong coupling and its implications f
or Stochastic Thermodynamics
DTSTART;VALUE=DATE-TIME:20170904T093000Z
DTEND;VALUE=DATE-TIME:20170904T100000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-91@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Peter Hänggi (University of Augsburg)\nThe case of
strong system-environment coupling plays an increasingly seminal role when
it comes to describe systems of small size which are in contact with an e
nvironment. The commonly known textbook situation refers solely to a weak
coupling situation for which the equilibrium state of the system is descri
bed by a Gibbs state. This situation changes drastically\, however\, when
strong coupling is at work\; then\, the interaction energy can be of the o
rder of the (sub)-system energy of interest [1]. Let us consider first an
overall thermal equilibrium of a total setup composed of a system Hamilton
ian $H_{S}$\, coupling Hamiltonian $H_{int}$ and a bath Hamiltonian $H_{B}
$.\n\nBased on an explicit knowledge of the so termed *Hamiltonian of mean
force* [2]\, the classical statistical mechanics and\, as well\, the quan
tum thermodynamics of open systems which are in contact with a thermal env
ironment -- at arbitrary strong interaction strength -- can be formulated.
Yet\, even though the Hamiltonian of mean force uniquely determines the t
hermal phase space probability density (or the density operator\, respecti
vely) of a strongly coupled open system\, the knowledge of this quantity a
lone is *insufficient* to determine the Hamiltonian of mean force itself\;
the latter must be known for constructing an underlying Stochastic Thermo
dynamics. This fact presents a major stumbling block for any classical Sto
chastic Thermodynamics scenario which solely builds upon the knowledge of
(observed or calculated) open system trajectories. -- In the classical cas
e we demonstrate that under the assumption that the Hamiltonian of mean fo
rce is known explicitly\, an extension of thermodynamic structures from th
e level of averaged quantities to *fluctuating* objects (such as internal
fluctuating energy\, heat\, entropy\, or free energy)\; i.e.\, a Stochasti
c Thermodynamics\, is possible. However\, such a construction is by far no
t unique but involves a vast ambiguity.\n\nGenerally\, however\, the situa
tion becomes a No-Go if we consider an initial nonequilibrium where even t
he concept of a Hamiltonian of mean force does not exist [1\, 3].\n\n$ $\n
\n[1] P. Talkner and P. Hänggi\, Open system trajectories specify fluctua
ting work but not heat\, Phys. Rev. E 94\, 022143 (2016).\n\n[2] M. Campis
i\, P. Talkner\, and P. Hänggi\, Fluctuation theorem for arbitrary open q
uantum systems\, Phys. Rev. Lett. 102\, 210401 (2009).\n\n[3] H. Grabert\,
P. Talkner\, and P. Hänggi\, Microdynamics and Time-Evolution of Macrosc
opic Non-Markovian System\, Z. Physik B 26\, 389–395 (1977).\n\nhttps://
zakopane.if.uj.edu.pl/event/4/contributions/91/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/91/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mechanical interactions affect biological evolution in bacterial c
olonies
DTSTART;VALUE=DATE-TIME:20170905T101000Z
DTEND;VALUE=DATE-TIME:20170905T103000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-89@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Bartlomiej Waclaw (University of Edinburgh)\nBacteri
al conglomerates such as biofilms and microcolonies are ubiquitous in natu
re and play an important role in industry and medicine. In contrast to wel
l-mixed cultures routinely used in microbial research\, bacteria in a micr
ocolony interact mechanically with one another and with the substrate to w
hich they are attached. Here we use a computer model of a microbial colony
of rod-shaped cells to investigate how physical interactions between cell
s determine their motion in the colony and how this affects biological evo
lution. We show that the probability that a faster-growing mutant ``surfs'
' at the colony's frontier and creates a macroscopic sector depends on phy
sical properties of cells (shape\, elasticity\, friction). Although all th
ese factors contribute to the surfing probability in seemingly different w
ays\, they all ultimately exhibit their effects by altering the roughness
of the expanding frontier of the colony and the orientation of cells. Our
predictions are confirmed by experiments in which we measure the surfing p
robability for colonies of different front roughness. Our results show tha
t physical interactions between bacterial cells play an important role in
biological evolution of new traits\, and suggest that these interaction ma
y be relevant to processes such as de novo evolution of antibiotic resista
nce.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions/89/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/89/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Forces from temperature quenches in thermal and active matter
DTSTART;VALUE=DATE-TIME:20170908T074000Z
DTEND;VALUE=DATE-TIME:20170908T080000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-88@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Christian Rohwer (Max Planck Institute for Intellige
nt Systems)\nNon-equilibrium systems are known to exhibit long-ranged corr
elations in the presence of dynamical conservation laws. This phenomenon g
ives rise to various types of fluctuation-induced forces between objects i
mmersed in non-equilibrium media. However\, driving systems out of equilib
rium\, for instance by changing their temperature\, may also result in cha
nges of the mean density. \n\n$ $\n\nIn this talk I will discuss our recen
t work on non-equilibrium fluctuation-induced (Casimir) forces [1\,2] and
density-induced forces [2] arising from temperature quenches in thermal an
d active matter. Focusing on temperature quenches\, we predict theoretical
ly and demonstrate with simulations the existence of both these types of f
orces between objects immersed in a conserved density. (In active matter\,
a quench could be achieved by a rapid change in activity.) We discuss the
distinguishing features of fluctuation-induced and density-induced forces
as regards universality\, time-scales and scaling. By considering microsc
opic theories and coarse-graining procedures\, we propose methods to extra
ct the fluctuation-induced contribution of forces in simulations. Simulati
on results [2] display the scaling in space and time predicted in [1]. \n\
n$ $\n\n[1] C.M. Rohwer\, M. Kardar\, M. Krüger\, Phys. Rev. Lett. 015702
**118** (2017)\n\n[2] C.M. Rohwer\, A. Solon\, M. Kardar\, M. Krüger\, *
in preparation* (2017)\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributi
ons/88/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/88/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stochastic processes for fractional kinetics with application to a
nomalous diffusion in living cells
DTSTART;VALUE=DATE-TIME:20170908T072000Z
DTEND;VALUE=DATE-TIME:20170908T073500Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-85@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Gianni Pagnini (BCAM - Basque Center for Applied Mat
hematics\, Bilbao\, Basque Country - Spain)\nFractional kinetics is derive
d from Gaussian processes when the medium where the diffusion takes place
is characterized by a population of length-scales [1]. This approach is an
alogous to the generalized grey Brownian motion [2]\, and it can be used f
or modelling anomalous diffusion in complex media. In particular\, the res
ulting stochastic process can show sub-diffusion\, ergodicity breaking\, p
variation\, and aging with a behaviour in qualitative agreement with sing
le-particle tracking experiments in living cells. Moreover\, for a proper
distribution of the length-scales\, a single parameter controls the ergodi
c-to-nonergodic transition and\, remarkably\, also drives the transition o
f the diffusion equation of the process from nonfractional to fractional\,
thus demonstrating that fractional kinetics emerges from ergodicity break
ing [3].\n\n$ $\n\n[1] Pagnini G. and Paradisi P.\, A stochastic solution
with Gaussian stationary increments of the symmetric space-time fractional
diffusion equation. Fract. Calc. Appl. Anal. 19\, 408–440 (2016)\n\n[2]
Mura A. and Pagnini G.\, Characterizations and simulations of a class of
stochastic processes to model anomalous diffusion. J. Phys. A: Math. Theor
. 41\, 285003 (2008)\n\n[3] Molina–García D.\, Pham T. Minh\, Paradisi
P.\, Manzo C. and Pagnini G.\, Fractional kinetics emerging from ergodicit
y breaking in random media. Phys. Rev. E. 94\, 052147 (2016)\n\nhttps://za
kopane.if.uj.edu.pl/event/4/contributions/85/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/85/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Intermediate asymptotics and aging phenomena in anomalous transpor
t by flows.
DTSTART;VALUE=DATE-TIME:20170905T070000Z
DTEND;VALUE=DATE-TIME:20170905T073000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-84@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Igor Sokolov (Humboldt University Berlin)\nAnomalous
transport in flows is often invoked in discussion of anomalous transport
phenomena as described by continuous-time random walk (CTRW) or Levy walk
(LW) schemes. The first model describes the particles' transport in eddy l
attices\, and the model of a Levy walk interrupted by rests describes the
transport in flows which consist of eddies and jets. The models adequately
describe the intermediate-time dynamics of the mean squared displacement
(MSD) of the transported particles from their initial positions under ini
tial conditions corresponding starting on the separatrix between two eddie
s or between an eddy and a jet\, and the long-time dynamics for any initia
l condition\, when the initial conditions are already forgotten.\n\n$ $\n\
nBoth random walk models lead to non-stationary dynamics on intermediate t
imes\, and exhibit aging phenomena. It is sometimes assumed that the corre
sponding models also can describe aging in flows. The aging phenomena in r
andom walk schemes are connected with the walker's behavior during the ver
y first step after the beginning of the observation\, and assume that this
dynamics is trivial (being at rest in CTRW\, or either being at rest or m
oving along straight line in the interrupted LW) while the dynamics during
the capturing periods in a flow is essentially quite complex and correspo
nds to rotations around elliptic points of eddies or oscillations in jets.
\n\n$ $\n\nWe concentrate on the MSD of the transported particles from th
eir initial positions\, and discuss in detail the aging dynamics of MSD in
flows. We show that the time-evolution of the MSD depends strongly on ini
tial conditions\, that simple CTRW / LW-dynamics only describes the interm
ediate-time behavior of the initial conditions discussed above\, and that
several other regimes\n(including superdiffusion or oscillations) are poss
ible. Even in the case when simplified models correctly describe the inter
mediate time behavior of MSD when starting on the separatrix\, they fail t
o describe the aging behavior of the MSD even in this case. We give the th
eoretical discussion of all theses issues\, and illustrate our points by r
esults of massive numerical simulations of the system.\n\nhttps://zakopane
.if.uj.edu.pl/event/4/contributions/84/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/84/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A Boltzmann-distribution-equivalent for Levy noise and how it lead
s to thermodynamically consistent epicatalysis
DTSTART;VALUE=DATE-TIME:20170908T070000Z
DTEND;VALUE=DATE-TIME:20170908T072000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-83@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Martin Bier (East Carolina University)\nNonequilibri
um systems commonly exhibit Levy noise. This means that the distribution
for the size of the Brownian fluctuations has a "fat" power tail. Large B
rownian kicks are then more common as compared to the ordinary Gaussian di
stribution that is associated with equilibria.\n\n$ $\n\nWe consider a two
-state system\, i.e. two wells and in between a barrier that is sufficient
ly high for a barrier crossing to be a rare event. When the noise is Levy
\, we do *not* get a Boltzmann distribution between the two wells. Instea
d we get a situation where the distribution between the two wells also dep
ends on the height of the barrier that is in between. \n \n$ $\n\nA cataly
st\, by lowering the barrier between two states\, can speed up the establi
shment of an equilibrium. It will\, however\, not change the equilibrium
distribution. In an environment with Levy noise\, on the other hand\, we
have the possibility of epicatalysis\, i.e. a catalyst effectively alterin
g the steady state distribution between two states by changing the barrier
height. We discuss how this idea may possibly apply to nuclear reactions
and to biochemical reality in a living cell.\n\nhttps://zakopane.if.uj.ed
u.pl/event/4/contributions/83/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/83/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thermodynamic activation energy for self diffusion and order-order
relaxation in intermetallic compounds: atomistic model and Monte Carlo si
mulations
DTSTART;VALUE=DATE-TIME:20170904T134000Z
DTEND;VALUE=DATE-TIME:20170904T140000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-82@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Rafal Abdank-Kozubski (M. Smoluchowski Institute of
Physics\, Jagiellonian University in Krakow)\nSelf-diffusion and the ‘or
der order’ relaxation process in intermetallic compounds is described in
terms of effective atomic jump frequencies and the current degree of chem
ical long-range order. It is demonstrated that the thermodynamic activatio
n energies of self-diffusion and the ‘order-order’ relaxation can be e
xpressed in terms of the activation energies of more elementary processes.
As the derived expressions differ from each other\, the values of the the
rmodynamic activation energies for self-diffusion and the ‘order order
’ relaxation can be different although both processes are controlled by
the same vacancy-mediated elementary atomic jumps.\nIn order to assess the
the validity of the derived formulae different B2-ordering binary systems
are simulated. The results of the computer experiments are in good agreem
ent with the tested formulae. It is shown that the relationship between th
e activation energies observed in triple defect B2-ordering binaries\, whe
re the value of the activation energy for order-order relaxations is subst
antially lower than that for self-diffusion\, does not hold in the case of
non-triple-defect binaries. Using the tested formulae\, the origin of the
effect is elucidated and attributed to the atomistic origin of the tenden
cy for triple-defect disordering.\n\n$ $\n\nP. Sowa\, A. Biborski\, M. Koz
łowski\, R. Kozubski\, I.V. Belova\, G.E. Murch: Atomistic origin of the
thermodynamic activation energy for self diffusion and order-order relaxat
ion in intermetallic compounds. Part I and Part II\, Philos.Mag.\, **97**\
, 1361-1374\, 1375-1397 (2017).\n\nhttps://zakopane.if.uj.edu.pl/event/4/c
ontributions/82/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/82/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Autonomous thermal motors
DTSTART;VALUE=DATE-TIME:20170906T070000Z
DTEND;VALUE=DATE-TIME:20170906T072000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-81@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Alberto Imparato (University of Aarhus\, Department
of Physics and Astronomy)\nWe present a minimal model\nof autonomous therm
al motor\, made of two interacting\nBrownian particles\, sitting on two pe
riodic potentials\, and kept at different temperatures. We show that such
a system does not require ratchet potentials (with\n\, e.g.\, an asymmetri
c saw-tooth shape) in order to exhibit direct\ntransport\, but presents a
spontaneous symmetry breaking.\nBoth the dynamic and thermodynamic propert
ies of the model are discussed.\nWe find that while the model can be solve
d exactly in the limit of strong coupling between the particles\, the opti
mal operation regime occurs at moderate coupling strength.\n\nhttps://zako
pane.if.uj.edu.pl/event/4/contributions/81/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/81/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Second order optimization may lead to Lévy walks
DTSTART;VALUE=DATE-TIME:20170908T075000Z
DTEND;VALUE=DATE-TIME:20170908T080500Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-80@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Lukasz Kusmierz (RIKEN Brain Science Institute)\nMos
t living organisms perform two different types of search: a directed searc
h (taxis) and a random\nsearch. The former is observed when the environmen
t provides cues to guide the motion towards targets\,\nwhereas the latter
may not involve any memory and information processing and can be modeled b
y ran-\ndom walks. There is a large body of experimental results showing t
hat the random walk adopted by many\norganisms is described well by Lévy
walks\, which raises questions about the reasons and underlying mech-\nani
sms of such a behavior. Here we show that Lévy walks may emerge from a di
rected gradient based\nsearch\, which bridges the gap between the two mode
s of a search. For a wide range of scenarios our model\nreproduces the tai
l index α = 1\, in line with previous experimental observations in foragi
ng organisms and\npredictions based on optimality considerations for spars
e targets. Moreover\, the model predicts specific\nrelations between featu
res of the search and the curvature of the optimized function\, which can
be tested\nexperimentally.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contri
butions/80/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/80/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Variational formula for the current generating function and finite
-time thermodynamic uncertainty relations
DTSTART;VALUE=DATE-TIME:20170904T134000Z
DTEND;VALUE=DATE-TIME:20170904T140000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-79@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Andreas Dechant (Kyoto University)\nBounds on the cu
rrent generating function for stochastic dynamics and the thermodynamic un
certainty relations that follow from them have recently attracted much att
ention. Here\, we focus on the space-time continuous case of Langevin dyna
mics. We derive a variational formula for the generating function of a gen
eralized current\, which is valid at finite time\, extending the previousl
y known results for the long-time limit. We show that the proof of the rec
ently proposed finite-time thermodynamic uncertainty relation follows from
the variational formula in a straightforward way. This relation provides
a universal bound on any current in a non-equilibrium steady state in term
s of the entropy production. We also discuss possible extensions to the tr
ansient case and to systems with time-dependent driving.\n\nhttps://zakopa
ne.if.uj.edu.pl/event/4/contributions/79/
LOCATION: 30
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/79/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Path integral formalism of quantum thermodynamics
DTSTART;VALUE=DATE-TIME:20170905T095000Z
DTEND;VALUE=DATE-TIME:20170905T101000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-78@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Ken Funo (Peking University)\nPath integral formalis
m of quantum mechanics and quantum field theory\nhas greatly influenced th
e theoretical developments of physics. For\nexample\, a path integral desc
ription of open quantum systems has been\nused to study the dissipative dy
namics of the quantum systems\, known as\nthe Caldeira-Leggett model of th
e quantum Brownian motion. Studies of\nthermodynamics in the dissipative q
uantum systems have attracted renewed\ninterest quite recently\, owing to
the experimental verification of the\nnonequilibrium equalities and the ex
perimental implementation of quantum\ninformation heat engines.\n\nIn this
presentation\, we develop a formalism for quantum thermodynamics\nbased o
n path integral methods. This may give new insights and\nunderstandings ab
out the work and heat in quantum systems. In doing so\,\nwe use the Caldei
ra-Leggett model and study the work and heat\nstatistics. This allows us t
o study the non-Markov\, non-rotating wave\,\nstrong coupling regime witho
ut making any approximations. Using the path\nintegral method\, we have de
rived the quantum work and heat functionals\ndepending on the path integra
l trajectories of the system. Taking the\nsemi-classical limit\, we proved
analytically the convergence of the work\nand heat functionals (and thus
their statistics) to their classical\ncounterparts.\n\nhttps://zakopane.if
.uj.edu.pl/event/4/contributions/78/
LOCATION: 30
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/78/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The quantum first detection problem: from the energy spectrum to t
he detection probabilities
DTSTART;VALUE=DATE-TIME:20170906T100000Z
DTEND;VALUE=DATE-TIME:20170906T101500Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-77@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Felix Thiel (Bar-Ilan University)\nWe consider the q
uestion of when a quantum system initially prepared in state A first ``arr
ives'' in state B\, i.e. the first arrival problem in quantum physics.\nTo
determine the arrival\, the observer attempts to detect the system strobo
scopically with fixed period via a projective measurement.\nThe time of th
e first successful detection attempt is the first detection time.\nThe cor
responding probability of the event is the first detection probability.\nF
or systems with a continuous energy spectrum\, this quantity can be expres
sed in terms of the spectral measure of the evolution operator (which is r
elated to the density of energy states).\nThis allows us to present an exa
ct formula for the total probability of detection and to derive the long-t
ime asymptotic behavior of the first detection probabilities.\nIt is shown
that the latter decays like a power law with superimposed oscillations.\n
The exponent of the power law is determined by the spectral (or fracton) d
imension of the spectral measures.\nThe total probability of detection is
always less than unity.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contribut
ions/77/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/77/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Random dynamics in a trap: killing vs survival
DTSTART;VALUE=DATE-TIME:20170906T101500Z
DTEND;VALUE=DATE-TIME:20170906T103500Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-76@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Piotr Garbaczewski (University of Opole)\nWe conside
r the random dynamics in a bounded domain\, while concentrating on somewha
t unexplored links between the absorbing and inaccessible boundarz data im
pact upon random motion. Both Brownian and Levy-stable dynamics will be
discussed \, with a focus on tyhe long term surival\, and the permanent t
rapping scenarios.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions
/76/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/76/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Glass transition as the consequence of spatially correlated stocha
stic dynamics
DTSTART;VALUE=DATE-TIME:20170904T152000Z
DTEND;VALUE=DATE-TIME:20170904T153500Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-75@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Maciej Majka (Jagiellonian University)\nDespite the
decades of intense research\, the glass transition\, i.e. the extreme rise
in the viscosity (by $10^{14}$ for molecular and $10^3$ for colloidal gla
sses) of the disordered system as it becomes denser/colder\, is far from b
eing fully understood. One important limitation here is the lack of analyt
ically solvable models for the systems with arbitrary interactions. In thi
s presentation such one-dimensional model is introduced. The model origina
tes from the recent theoretical advancements in the field of Langevin dyna
mics driven by the spatially correlated noise (SCN). SCN can be linked to
the diffusion in colloids or dynamic heterogeneity in molecular systems. R
ecently\, it has been shown that the thermodynamic consistency requires SC
N to be accompanied by the dissipation represented as the friction-respons
e matrix. I will show that in the thermodynamic limit\, this matrix can de
velop a genuine singularity in dissipation for finite volume packing\, thu
s heralding the system jamming. Since this happens under the assumption of
complete molecular disorder\, this jamming is identified as the glass tra
nsition. The model introduces new perspective on the role of spatial corre
lations in vitrification\, i.e. it shows that they might not be the conseq
uence\, but the cause of jamming. It also provides the exact relation betw
een the noise correlation length and the critical packing. Finally\, it su
ggests that the spectrum of the friction-response matrix might be the orde
r parameter for the glass transition.\n\nhttps://zakopane.if.uj.edu.pl/eve
nt/4/contributions/75/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/75/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Exact solution for a $1+1$ etching model.
DTSTART;VALUE=DATE-TIME:20170906T093000Z
DTEND;VALUE=DATE-TIME:20170906T100000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-73@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Fernando Oliveira (Universidade de Brasília)\nWe pr
esent a method to derive analytically the growths exponents of a eroded s
urface whose dynamics is ruled by cellular automata. Starting from the au
tomata\, we write down the time evolution for the height's average and he
ight's variance (roughness). We apply the method to the etching model[1
\,2] of $1+1$ dimensions\, than we obtain the dynamical exponents\, which
perfectly match the numerical results obtained from simulations. Those ex
ponents are exact and they are the same as those exhibited by the KPZ mode
l[3] for this dimension. Therefore\, it shows that the etching model and
KPZ belong to the same universality class[4]. Moreover\, we proof that in
the continuous limit the majors terms leads to KPZ [5].\n\n$ $\n\n[1] B.
A. Mello\, A. S. Chaves\, and F. A. Oliveira\, Phys. Rev. E 63\, 041113 (2
001).\n\n[2] E. A. Rodrigues\, B. A. Mello\, and F. A. Oliveira\, J. Ph
ys. A 48\, 035001 (2015).\n\n[3] M. Kardar\, G. Parisi\, and Y. C. Zhan
g\, Phys. Rev. Lett. 56\, 9\, 889 (1986).\n\n[4] W. S. Alves\, E. A. Ro
drigues\, H. A. Fernandes\, B. A. Mello\, F. A. Oliveira and I. V. L. Cost
a\, Phys. Rev. E 94\, 042119 (2016).\n\n[5] W. P. Gomes and F. A. Oliveira
\, to be published.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions
/73/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/73/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fluctuating hydrodynamics of one-dimensional nonlinear chains
DTSTART;VALUE=DATE-TIME:20170904T153000Z
DTEND;VALUE=DATE-TIME:20170904T160000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-71@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Harald Posch (University of Vienna)\nOne-dimensional
particle systems are known to be anomalous with respect to \nthe dynamic
s of their hydrodynamic conserved fields and their related \ncurrents. We
review some of the predictions of mode-mode coupling theory \ncombined wit
h exact results by Prähofer and Spohn [J. Stat. Phys.\, vol. 115\, 255 \n
(2004)] to derive asymptotic expressions for the time-correlation function
s \nof the hydrodynamic modes and their currents. These results are compar
ed to \nextensive computer simulations for two simple fluids with non-line
ar \nshort-range interactions.\n\nhttps://zakopane.if.uj.edu.pl/event/4/co
ntributions/71/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/71/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Diffusive escape through a narrow opening: new insights into a cla
ssic problem
DTSTART;VALUE=DATE-TIME:20170906T073000Z
DTEND;VALUE=DATE-TIME:20170906T080000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-67@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Gleb Oshanin (Laboratoire de Physique Théorique de
la Matière Condensée (UMR CNRS 7600) Sorbonne Universités - UPMC\, Pari
s\, France)\nIn this talk I overview our recent results [1] on the mean fi
rst escape time T of a diffusive particle from a spherical (or a circular)
domain enclosed by an impenetrable boundary containing a small escape win
dow. Our settings differ from the classical narrow escape problem in two a
spects : First\, we introduce explicitly into the model long-range potenti
al interactions of a particle with the boundary\, which are always present
in realistic situations. Second\, we take into account effects of an ener
gy/entropy barrier at the escape window\, which were discarded in previou
s analyses. We develop a self-consistent approximation to derive for T a g
eneral expression\, akin to the celebrated Collins-Kimball relation in che
mical kinetics\, which shows that the contibution due to a diffusive searc
h for the escape window and the contribution due to the passage through th
e escape window are additive. Further on\, our analysis reveals that in t
he true narrow escape limit\, where the size of the opening tends to zero\
, the barrier-induced contribution to T represents the dominant controllin
g factor such that the narrow escape problem is « barrier-limited » rath
er than « search-limited ». Next\, we analyse the contribution due to d
iffusive search for the escape window and construct an expansion in powers
of the size of the escape window in which the coefficients before the lea
ding terms are expressed as integrals and derivatives of (a rather arbitra
ry) interaction potential. On example of a triangular-well potential we sh
ow that the contribution to T due to diffusive search is non-monotonic wit
h respect to the range of the interaction potential\, being minimal for th
e one having an intermediate extent\, neither too concentrated on the boun
dary nor penetrating too deeply into the bulk. Our analytical predictions
are confirmed by numerical simulations.\n\n$ $\n\n[1] D. S. Grebenkov and
G. Oshanin\, Phys. Chem. Chem. Phys. 19\, 2723 - 2739 (2017)\n\nhttps://za
kopane.if.uj.edu.pl/event/4/contributions/67/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/67/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Novel ordered phases in coupled driven systems: large compact clus
ters and fast dynamics
DTSTART;VALUE=DATE-TIME:20170906T080500Z
DTEND;VALUE=DATE-TIME:20170906T082000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-66@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Sakuntala Chatterjee (S.N. Bose National Centre for
Basic Sciences\, Kolkata\, India)\nWe demonstrate particle clustering on m
acroscopic scales in a coupled nonequilibrium system where two species of
particles are advected by a fluctuating landscape and modify the landscape
in the process. The phase diagram generated by varying the particle-lands
cape coupling\, valid for all particle density and in both one and two dim
ensions\, shows novel nonequilibrium phases. While particle species are co
mpletely phase separated\, the landscape develops macroscopically ordered
regions coexisting with a disordered region\, resulting in coarsening and
steady state dynamics on time scales which grow algebraically with size\,
not seen earlier in systems with pure domains.\n\n$ $ \n\n(1) Large compac
t clusters and fast dynamics in coupled nonequilibrium systems\, \n S Chak
raborty\, S Pal\, S Chatterjee\, M Barma\, Phys Rev E **93**\, 050102(R) (
2016).\n\n(2) Ordered phases in coupled nonequilibrium systems: static pro
perties\, S Chakraborty\, S Chatterjee\, M Barma\, Phys Rev E (accepted)\,
arXiv 1704.03309.\n\n(3) Ordered phases in coupled nonequilibrium systems
: dynamic properties\, S Chakraborty\, S Chatterjee\, M Barma\, Phys Rev E
(accepted)\, arXiv 1704.03320.\n\nhttps://zakopane.if.uj.edu.pl/event/4/c
ontributions/66/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/66/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Isothermal Langevin dynamics in systems with power-law spatially d
ependent friction
DTSTART;VALUE=DATE-TIME:20170905T073000Z
DTEND;VALUE=DATE-TIME:20170905T080000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-64@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Oded Farago (Ben Gurion University)\nWe study the dy
namics of Brownian particles in a heterogeneous one-dimensional medium wit
h a spatially-dependent diffusion coefficient of the form $D(x)\\sim|x|^c$
\, at constant temperature. The particle’s probability distribution func
tion (PDF) is calculated both analytically\, by solving Fick’s diffusion
equation\, and from numerical simulations of the underdamped Langevin equ
ation. At large times\, the PDFs calculated by both approaches yield ident
ical results\, corresponding to subdiffusion for $c < 0$\, and superdiffus
ion for $0 < c < 1$. For $c > 1$\, the diffusion equation predicts that th
e particles accelerate. Here\, we show that this phenomenon\, previously c
onsidered in several works as an illustration for the possible dramatic ef
fects of spatially-dependent thermal noise\, is unphysical. We argue that
in an isothermal medium\, the motion cannot exceed the ballistic limit ($\
\langle x2\\rangle∼ t^2$). The ballistic limit is reached when the frict
ion coefficient drops sufficiently fast at large distances from the origin
\, and is correctly captured by Langevin’s equation.\n\n$ $\n\n[1] S. Re
gev\, N. Gronbech-Jensen\, and O. Farago\, Phys Rev. E **94**\, 012116 (20
16).\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions/64/
LOCATION: 30
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/64/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Aerated Poisson distributions and their exact approximants.
DTSTART;VALUE=DATE-TIME:20170904T153000Z
DTEND;VALUE=DATE-TIME:20170904T155000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-59@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Karol Penson (University Paris 6)\nWe analyze the pr
operties of combinatorial numbers appearing in the normal ordering of powe
rs of certain differential operators. They are natural generalizations of
the conventional Bell numbers. We explicitly construct the solutions of th
e Stieltjes moment problems with these combinatorial sequences. It turns o
ut that in certain cases one encounters as solutions the discrete probabil
ity distributions based on lacunary subsets of positive integers. They gen
eralize the standard Poisson laws and are called aerated Poisson distribut
ions. We furnish explicit approximants of the aerated Poisson distribution
s through continuous functions via reparametrization of auxiliary solution
s for other generalized Bell numbers.\n\nhttps://zakopane.if.uj.edu.pl/eve
nt/4/contributions/59/
LOCATION: 30
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/59/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Opening
DTSTART;VALUE=DATE-TIME:20170904T070000Z
DTEND;VALUE=DATE-TIME:20170904T073000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-57@zakopane.if.uj.edu.pl
DESCRIPTION:https://zakopane.if.uj.edu.pl/event/4/contributions/57/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/57/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Foundations of the local equilibrium concept
DTSTART;VALUE=DATE-TIME:20170904T150000Z
DTEND;VALUE=DATE-TIME:20170904T153000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-55@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Rudolf Hilfer (Universitaet Stuttgart)\nLocal equili
brium states change slowly in time because they\nare almost stationary. As
a consequence local equilibrium states\nhave to be related to local state
s that are time-invariant.\nIt has been argued in the literature that a pr
oper mathematical\nformulation of local equilibrium states must start from
the class\nof time-invariant measures for infinitely extended systems [1]
. \nThis presentation argues that the set of time-invariant measures \nof
infinite systems is too small [2]. A suitable extension are \nstates of bo
unded mean oscillation (BMO-states) that are also \nclose to time-invarian
t states. BMO-states are states for which \nthe expectation values of all
observables are functions of \nbounded mean oscillation in time. Results f
or long time scaling\nlimits of induced time flows on subsets of BMO-state
s then provide \nthe mathematical foundation for the local equilibrium con
cept.\n\n$ $\n\n[1] H. Spohn\, Large Scale Dynamics of Interacting Particl
es\, 1991\n\n[2] R. Hilfer\, Analysis\, 36\, 49-64 (2016)\n\nhttps://zakop
ane.if.uj.edu.pl/event/4/contributions/55/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/55/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Random matrices meet trapped fermions
DTSTART;VALUE=DATE-TIME:20170906T151500Z
DTEND;VALUE=DATE-TIME:20170906T154500Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-54@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Gregory Schehr (Universite Paris-Sud\, CNRS)\nI will
review some recent results exploring the connection between non-interacti
ng fermions in a d-dimensional trapping potential and random matrix theory
. The presence of the trap introduces an edge where the average density of
fermions vanishes. Far from the edge\, near the centre of the trap (the s
o called "bulk regime")\, physical properties of the fermions have traditi
onally been understood using the Local Density Approximation. However\, th
is approximation drastically fails near the edge where the density vanishe
s. In this talk\, I will show that\, even near the edge\, novel universal
properties emerge\, independently of the details of the confining potentia
l. These universal correlations can be described by random matrix theory (
in one dimension and at zero temperature) and by more general determinanta
l processes in higher dimensions and finite temperature. \n\n$ $\n\nD. S.
Dean\, P. Le Doussal\, S. N. Majumdar\, G. Schehr\, Phys. Rev. Lett. **114
**\, 110402 (2015)\,\nEPL **112**\, 60001 (2015)\,\nPhys. Rev. A **94**\,
063622 (2016).\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions/54/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/54/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Coordination games on networks
DTSTART;VALUE=DATE-TIME:20170908T073000Z
DTEND;VALUE=DATE-TIME:20170908T075000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-53@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Adam Kleczkowski (University of Stirling\, Scotland)
\nOne of the key contributions of Marian Smoluchowski was to show that eve
n small\, apparently random\, contributions from individuals can combine t
o produce significant shifts in the collective behaviour. This paradigm is
not limited to physics but has become increasingly influential in biologi
cal and social sciences. Models have been developed to describe such diver
se systems like the market failure or spread and control of infectious dis
eases. We present a model that combines game theoretical framework for dec
ision-making process involved in controlling plant infection or pest sprea
d with a network model. We study a repeated cooperation game describing ac
tions of plant nursery managers. We show that although the cooperation str
ategy is not stable (due to the existence of a risk-dominant strategy)\, t
he decay rate non-trivially depends on the initial density of cooperators\
, on the weight they assign to past events\, and whether the decision invo
lves an element of a chance. By considering an agent quantal response lear
ning process\, we also study how ‘irrationality’ of decisions influenc
e potential for collaborative actions. Finally\, we show that the network
structure also impacts on the emergence of cooperation.\n\nhttps://zakopan
e.if.uj.edu.pl/event/4/contributions/53/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/53/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Quantum model of self-oscillations in chemical engines
DTSTART;VALUE=DATE-TIME:20170905T090000Z
DTEND;VALUE=DATE-TIME:20170905T093000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-52@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Robert Alicki (University of Gdansk)\nA standard tex
tbook picture of solar\, thermoelectric and fuel cells based on a direct t
ransformation of light\, heat or chemical energy into a direct current (DC
) contradicts the basic principles of electrodynamics and thermodynamics.
The proposed solution of this problem involves a single oscillating degre
e of freedom called work reservoir (depository) or a piston\, which execu
tes self-oscillations fed by a constant energy supply. In the mentioned ex
amples\, it is a mode of plasma oscillations and the resulting charge osci
llations are finally rectified to DC by a diode mechanism. The onset of
self-oscillations is illustrated by a simple quantum Markovian model of a
harmonic oscillator coupled to chemical reservoirs. The proper definition
of work output is discussed in terms of ergotropy.\n\nhttps://zakopane.if.
uj.edu.pl/event/4/contributions/52/
LOCATION: 30
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/52/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Brownian yet non-Gaussian Diffusion
DTSTART;VALUE=DATE-TIME:20170905T093000Z
DTEND;VALUE=DATE-TIME:20170905T100000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-51@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Aleksei Chechkin (Akhiezer Institute for Theoretical
Physics)\nA growing number of biological\, soft\, and active matter syste
ms are observed to exhibit normal diffusive dynamics with a linear growth
of the mean-squared displacement\, yet with a non-Gaussian distribution of
increments. Based on the Chubinsky-Slater idea of a diffusing diffusivity
\, we here establish and analyze a minimal model framework of diffusion pr
ocesses with fluctuating diffusivity. In particular\, we demonstrate\nthe
equivalence of the diffusing diffusivity process with a superstatistical a
pproach with a distribution of diffusivities\, at times shorter than the d
iffusivity correlation time. At longer times\, a crossover to a Gaussian d
istribution with an effective diffusivity emerges. Specifically\, we estab
lish a subordination picture of Brownian but non-Gaussian diffusion proces
ses\, which can be used for a wide class of diffusivity fluctuation statis
tics. Our results are shown to be in excellent agreement with simulations
and numerical evaluations.\n\n$ $\n\nAleksei V. Chechkin\, Flavio Seno\, R
alf Metzler\, and Igor M. Sokolov\, PHYSICAL REVIEW X 7\, 021002 (2017).\n
\nhttps://zakopane.if.uj.edu.pl/event/4/contributions/51/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/51/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Microreversibility\, current fluctuations\, and entropy production
in nonequilibrium systems
DTSTART;VALUE=DATE-TIME:20170908T100000Z
DTEND;VALUE=DATE-TIME:20170908T103000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-50@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Pierre Gaspard (Universite Libre de Bruxelles (U.L.B
.))\nOn the basis of microreversibility\, fluctuation relations are establ
ished for the counting statistics of coupled currents flowing across class
ical or quantum systems sustaining nonequilibrium steady states. Thanks t
o these relations\, the Green-Kubo formulae and the Casimir-Onsager recipr
ocity relations can be generalized from linear to nonlinear response prope
rties. These advances provide a framework to formulate nonequilibrium the
rmodynamics in small systems. In this framework\, the entropy production
can be interpreted as the order parameter of time-reversal symmetry breaki
ng at the statistical level of description. These results apply to hydrod
ynamic flows\, driven Brownian motion\, active particles\, molecular motor
s\, polymerizations\, reactions\, as well as to quantum transport in mesos
copic devices.\n\n$ $\n\n[1] P. Gaspard\, Multivariate fluctuation relatio
ns for currents\, New J. Phys. **15** (2013) 115014.\n\n[2] P. Gaspard\, T
ime-reversal symmetry relations for fluctuating currents in nonequilibrium
systems\, Acta Phys. Pol. B **44** (2013) 815.\n\n[3] P. Gaspard\, Time-r
eversal symmetry relation for nonequilibrium flows\nruled by the fluctuati
ng Boltzmann equation\, Physica A **392** (2013) 639.\n\n[4] D. Lacoste an
d P. Gaspard\, Isometric fluctuation relations for equilibrium states with
broken symmetry\, Phys. Rev. Lett. **113** (2014) 240602.\n\n[5] P. Gaspa
rd\, Force-velocity relation for copolymerization processes\, New J. Phys.
**17** (2015) 045016.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributi
ons/50/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/50/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Induced motion of a probe in contact with a nonequilibrium medium
DTSTART;VALUE=DATE-TIME:20170905T070000Z
DTEND;VALUE=DATE-TIME:20170905T073000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-49@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Christian Maes (KU Leuven)\nWe discuss how contact w
ith a nonequilibrium bath can modify the effective dynamics of a probe. I
n particular\, systematic forces may become nongradient\; the second fluct
uation-dissipation relation can be broken and the noise may be nonGaussian
and showing power law distributed jumps.\n\nhttps://zakopane.if.uj.edu.pl
/event/4/contributions/49/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/49/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Microscopic derivation of coloured Lévy flights in active swimmer
s' suspensions
DTSTART;VALUE=DATE-TIME:20170908T073500Z
DTEND;VALUE=DATE-TIME:20170908T075000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-48@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Andrea Cairoli (Imperial College London)\nThe motion
of a tracer particle in a complex medium typically exhibits anomalous dif
fusive patterns\, characterised\, e.g\, by a non-liner mean-squared displa
cement and/or non-Gaussian statistics. \nModelling such fluctuating dynam
ics is in general a challenging task\, that provides\, despite all\, a fun
damental tool to probe the rheological properties of the environment. \n
A prominent example is the dynamics of a tracer in a suspension of swimmin
g microorganisms\, like bacteria\, which is driven by the hydrodynamic fie
lds generated by the active swimmers. \nFor dilute systems\, several exper
iments confirmed the existence of non-Gaussian fat tails in the displaceme
nt distribution of the probe particle\, that has been recently shown to fi
t well a truncated Lévy distribution. \nThis result was obtained by appl
ying an argument first proposed by Holtsmark in the context of gravitation
: the force acting on the tracer is the superposition of the hydrodynamic
fields of spatially random distributed swimmers. \nThis theory\, however
\, does not clarify the stochastic dynamics of the tracer\, nor it predict
s the non monotonic behaviour of the non-Gaussian parameter of the displac
ement distribution. \nHere we derive the Langevin description of the s
tochastic motion of the tracer from microscopic dynamics using tools from
kinetic theory. \nThe random driving force in the equation of motion is a
coloured Lévy Poisson process\, that induces power-law distributed positi
on displacements. \nThis theory predicts a novel transition of their chara
cteristic exponents at different timescales. For short ones\, the Holtzmar
k-type scaling exponent is recovered\; for intermediate ones\, it is large
r. \nConsistently with previous works\, for even longer ones the truncatio
n appears and the distribution converge to a Gaussian. \nOur approach
allows to employ well established functional methods to characterize the
displacement statistics and correlations of the tracer. In particular\, it
qualitatively reproduces the non monotonic behaviour of the non-Gaussian
parameter measured in recent experiments.\n\nhttps://zakopane.if.uj.edu.pl
/event/4/contributions/48/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/48/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Diffusion of a tagged particle in two dimensional elastic networks
DTSTART;VALUE=DATE-TIME:20170905T093000Z
DTEND;VALUE=DATE-TIME:20170905T095000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-47@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Michael Lomholt (University of Southern Denmark)\nI
will discuss the long time asymptotic behavior of a tagged particle in two
dimensional systems\, where the particles are stuck with their neighbors.
This corresponds to single-file diffusion in one dimension\, where the me
an squared displacement of a particle grows with the square root of time.
In two dimensions it turns out that the mean square displacement grows log
arithmically. I will show how one can arrive at these results through an a
pproach called harmonization.\n\nhttps://zakopane.if.uj.edu.pl/event/4/con
tributions/47/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Generalized Poisson-Kac processes in statistical physics\, thermod
ynamics and transport
DTSTART;VALUE=DATE-TIME:20170905T125000Z
DTEND;VALUE=DATE-TIME:20170905T131000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-46@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Massimiliano Giona (University of Rome La Sapienza D
ICMA)\nLangevin equations driven by vector-valued Wiener noise\nrepresent
the prototypical model\nof evolution equations for a physical system drive
n\nby a deterministic velocity field in the presence of\nsuperimposed stoc
hastic fluctuations. The statistical\nnature of a Wiener process \ncan be
\nregarded as the natural legacy of a large number ansatz\, in which\nthe
effects of many unknown and uncorrelated perturbations justifies\nthe Gaus
sian nature for the increments of the stochastic forcing.\nAnalogously\, i
n dealing with stochastic field equations\n(stochastic partial differentia
l equations)\, \n${\\partial \\phi({\\bf x}\,t)}/{\\partial t} = {\\mathca
l N}[\\phi({\\bf x}\,t)]\n+ a(\\phi({\\bf x}\,t)) \\\, f_s({\\bf x}\,t)\n$
\,\nthe most\ncommon assumption for the stochastic spatio-temporal\nforcin
g $f_s({\\bf x}\,t)$ is its delta-correlated\nnature\nin space and time
("derivative of a Wiener process").\n\nNotwithstanding the analytical adva
ntages\, the assumption\nof stochastic perturbation of Wiener nature entai
ls some\nintrinsic shortcomings. The most striking one is\nthe unbounded
speed of propagation of stochastic\nperturbations that\, at a microscopic
level\, is one-to-one\nwith the fractal nature (almost nowhere differentia
bility)\nof the graph of a generic realization of a Wiener process.\nThe r
esolution of the infinite propagation velocity problem\nhas been proposed
by C. Cattaneo in the form of a\nhyperbolic diffusion equation\, now bear
ing his name.\nIn 1974 M. Kac \nprovided\na simple stochastic model\, for
which the associated probability\ndensity function is a solution of the Ca
ttaneo equation.\nIn point of fact\, it is well known that the\nCattaneo m
odel in spatial dimension higher than one\ndoes not admit any stochastic i
nterpretation and that\nthe solutions of the Cattaneo model do not preserv
e positivity.\n\nIn order to overcome this problem and to provide\na stoch
astic background to the extended thermodynamic\ntheories of irreversible p
henomena\, the original\nKac model has been recently extended and generali
zed in any spatial dimension\nvia the concept of Generalized Poisson-Kac (
GPK) processes.\nIn this presentation\, after a brief review of GPK theory
\nwe discuss some new results and applications \nin statistical physics.\n
\nSpecifically:\n\n(i) Motivated by the title of the present conference \n
"On the Uniformity of Laws of Nature"\, it is addressed\nhow Poisson-Kac a
nd GPK processes permit to resolve the \n"singularities" in the solutions
of classical\nparabolic transport equations. This is not only related to
the\nresolution of the paradox of infinite propagation velocity\,\nbut inv
olves also the description of boundary-layer dynamics and the\ngroup prope
rties of the associated Markov operator.\n\n(ii) The latter issue is close
ly related to the\nintrinsic "spinorial" statistical description\nof GPK p
rocesses\, that naturally emerges from the relativistic\ndescription of st
ochastic kinematics.\n\n(iii) It is addressed how the application\nof GPK
fluctuations in stochastic partial differential\nequation ensures the pre
servation of positivity of the\nfield variable (if required by physical pr
inciples\, for instance \nwhenever $\\phi({\\bf x}\,t)$ represents a conce
ntration) \nand avoids the occurrence of\ndiverging correlation function\,
problem that arises\neven in the\nsimplest (linear) stochastic partial d
ifferential equations\nin the presence of delta-correlated noise fields.\n
The most striking example is the Edwards-Wilkinson model in\nspatial dimen
sions higher than one.\n\n(iv) Finally\, the application of GPK is address
ed in connection\nwith the modeling of systems of interacting particles.\n
\nhttps://zakopane.if.uj.edu.pl/event/4/contributions/46/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A bird's eye view of Nonlinear Physics
DTSTART;VALUE=DATE-TIME:20170906T123000Z
DTEND;VALUE=DATE-TIME:20170906T130000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-45@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Itamar Procaccia (The Weizmann Institute of Science)
\nThe special challenge of Nonlinear Physics is that every new problem cal
ls\nfor a specialized idea and a new method to solve it. There exist almos
t no "general" methods\nin the arsenal. I will review my own forays into t
he nonlinear domain stressing this challenge\nand highlighting the few luc
ky strikes that I had been involved in during more than 35 years of resear
ch.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions/45/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Heterogeneous continuous time random walk on graphs
DTSTART;VALUE=DATE-TIME:20170906T093000Z
DTEND;VALUE=DATE-TIME:20170906T094500Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-44@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Liubov Tupikina (Ecole Polytechnique)\nSolute transp
ort and\, particularly\, diffusion of particles in porous media is a long
standing problem [1].\nThe general random walks framework has been shown t
o describe quantitatively the anomalous\ntransport patterns frequently obs
erved in fractured and heterogeneous porous media [2]. One of the major co
nceptual difficulties consists in a very broad range of time and length sc
ales in the dynamics [3]\nthat prohibits using conventional theoretical ap
proaches or numerical simulation methods. \n\n$ $\n\nTo\novercome this pro
blem and bridge various scales\, we present a new model\, Heterogeneous Co
ntinuous Time Random Walk model (HCTRW) and suggest to represent a porous
medium by an\nequivalent “porous graph” and then to model the complex
dynamics of a particle\nin the porous medium by a continuous time random w
alk (CTRW) on that porous graph. The graph\nstructure accounts for the int
er-connectivity of pores\, whereas their geometric properties (shapes of p
ores and of connectivity regions) are\, to some extent\, captured through
the CTRW characteristics\, hence connecting the topological and dynamical
properties of the system.\nIn our CTRW approach\, the space and time chara
cteristics of individual jumps on a graph are coupled that requires develo
ping new theoretical tools. We present several preliminary results on the
long-time asymptotic behavior of a particle on a porous graph. To validate
the proposed coarse-graining scheme\, we compare the asymptotic behavior
of the CTRW on a porous graph with the original continuous dynamics in sev
eral models of porous media. In particular\, we investigate how topology o
f a graph (which would correspond to i.e. the interconnectivity of pores)
can affect the long-time behavior of HCTRW.\n\n$ $\n\n[1] R. Friedrich\, J
. Peinke\, M. Sahimi\, M. R. R. Tabar\, “Approaching complexity by stoch
astic\nmethods: From biological systems to turbulence”\, Phys. Rep. **50
6**\, 87-162 (2011)\n\n[2] H. Scher and M. Lax\, “Stochastic Transport i
n a disordered solid. I. Theory”\, Phys. Rev. B **7**\, 4491\n(1973)\n\n
[3] P. Levitz\, V. Tariel\, M. Stampanoni\, and E. Gallucci\, “Topology
of evolving pore networks”\, Eur.\nPhys. J. Appl. Phys. **60**\, 24202 (
2012)\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions/44/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nonequilibrium steady states in Langevin thermal systems
DTSTART;VALUE=DATE-TIME:20170905T090000Z
DTEND;VALUE=DATE-TIME:20170905T093000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-43@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Hyunggyu Park (Korea Institute for Advanced Study)\n
Equilibrium is characterized by its fundamental properties such as the det
ailed balance\, the\nfluctuation-dissipation relation\, and no heat dissip
ation. Based on the stochastic thermodynamics\,\nwe show that these three
properties are equivalent to each other in conventional Langevin thermal\n
systems with microscopic reversibility. Thus\, a conventional steady state
has either all three\nproperties (equilibrium) or none of them (nonequili
brium). In contrast\, with velocity-dependent\nforces breaking the microsc
opic reversibility\, we prove that the detailed balance and the fluctuatio
ndissipation\nrelation mutually exclude each other and no equivalence rela
tion is possible between any\ntwo of the three properties. This implies th
at a steady state of Langevin systems with velocitydependent\nforces may m
aintain some equilibrium properties but not all of them. Our results are\n
illustrated with a few example systems.\n\nhttps://zakopane.if.uj.edu.pl/e
vent/4/contributions/43/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Individual and network heterogeneity in agent-based models
DTSTART;VALUE=DATE-TIME:20170908T070000Z
DTEND;VALUE=DATE-TIME:20170908T073000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-41@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Raul Toral (IFISC)\nMost applications of Statistical
Mechanics methods to agent-based models make assumptions that aim at a si
mplification of the mathematical treatment and which are reasonable\, or w
ell established\, in other applications of the field. Amongst others\, we
can cite the assumption of the thermodynamic limit and the assumption that
there is a high degree of homogeneity amongst the agents. This is certain
ly not true in most cases: the number of agents is never close to the Avog
adro number and the dispersion in the individual features of agents is an
unavoidable nature of the system. In this talk I will discuss some difficu
lties associated to the existence of such a heterogeneity and the mathemat
ical tools that can be used to achieve analytical results. As an example\,
I will consider in detail both network and parametric heterogeneity in Ki
rman’s model for herding behavior in financial markets. Stylized facts o
f financial markets (fat tails\, volatility clustering) has been proposed
as an emergent phenomenon of interactions among traders. One of the simple
st agent-based models capable of reproducing these statistical properties
is the one proposed by Kirman. The fundamental aspect of the model is that
agents change opinion based on the proportion of neighbor agents holding
it. The effect of network structure on the results of the model is also ad
dressed with recent analytical tools known as heterogeneous mean field app
roximations. This approach suggests that the dynamics in an heterogeneous
degree network is equivalent to the usual all-to-all approximation with an
effective system size $N_{\\textrm{eff}}=N \\mu_{1}^2/\\mu_{2}$\, where $
\\mu_{k}$ is the *k*-th moment of the degree distribution. This implies th
at highly heterogeneous degree networks are characterized by a low effecti
ve population number. Intuitively\, only highly connected agents play an i
mportant role in the dynamics and the number of those agents is measured b
y this effective population number. Taking into account that most real net
works are highly heterogeneous with power-law degree distributions\, one c
oncludes that the effect finite-size fluctuations is non-trivial and must
be studied in detail for each specific type of network.\n\nhttps://zakopan
e.if.uj.edu.pl/event/4/contributions/41/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Guessing the direction of Time's Arrow: theory and experiment
DTSTART;VALUE=DATE-TIME:20170908T090000Z
DTEND;VALUE=DATE-TIME:20170908T093000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-40@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Christopher Jarzynski (University of Maryland\, Coll
ege Park)\nAs famously articulated by Sir Arthur Eddington\, the second la
w of thermodynamics implies a directionality to the flow of time: the arro
w of time points in the direction of increasing entropy. This deep fact o
f Nature is something that we intuitively grasp in our everyday lives\, wh
ich is why we typically find it easy to distinguish between a movie played
forward in time\, and one played backward. With nanoscale systems the si
tuation becomes more subtle due to the prominence of statistical fluctuati
ons. At sufficiently small length and time scales\, a system may behave i
n a manner that appears contrary to the second law. Surprisingly\, our ab
ility to distinguish the direction of the arrow of time can be quantified
and shown to obey a universal law. I will show how this law emerges from
non-equilibrium fluctuation relations\, and I will present experimental re
sults that have verified its validity\, using a driven quantum dot.\n\nhtt
ps://zakopane.if.uj.edu.pl/event/4/contributions/40/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stochastic advection-reaction-diffusion model for phytoplankton po
pulations in a 2D spatial domain
DTSTART;VALUE=DATE-TIME:20170904T132000Z
DTEND;VALUE=DATE-TIME:20170904T134000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-37@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Davide Valenti (Department of Physics and Chemistry\
, University of Palermo)\nPhytoplankton lies at the base of the food chain
of seas and oceans\, and it is responsible for about 80% of the total *ch
lorophyll a*. As a consequence\, phytoplankton determines the trophic stru
ctures of marine ecosystems\, while influencing the total abundance and th
e spatial distributions of marine biological species\, e.g. fish populatio
ns. Thus the study of spatio-temporal dynamics of phytoplankton population
s and the development of models which predict the trend of primary product
ion become of paramount importance to understand and forecast the dynamics
of biological species within marine ecosystems.\n Here it is presented a
two-dimensional advection-reaction-diffusion model to describe the dynami
cs of four phytoplankton populations in a real ecosystem located in the Ch
annel of Sicily (South Mediterranean Sea). Light intensity and nutrient co
ncentration represent the limiting factors for the phytoplankton growth. S
pecifically\, due to the characteristics of the marine ecosystem analyzed\
, i.e. a transect consisting of twelve marine stations between Cape Passer
o (Sicily) and Misurata (Libya) [1]\, the limiting nutrient component is p
hosphorus.\n Phytoplankton abundances are first obtained by solving numer
ically a system of deterministic partial differential equations and then c
onverted *chlorophyll a* concentrations [2]\, whose spatial distributions
are compared with those obtained from field data collected in the twelve m
arine stations [3]. Statistical checks based on the chi-square test indica
te a good agreement between theoretical and experimental distributions of
*chlorophyll a* concentration.\n Deterministic models however can not ful
ly describe the nonlinear dynamics of a real ecosystem continuously expose
d not only to deterministic but also to random perturbations coming from t
he environment. To take into account the random fluctuations of the enviro
nmental variables\, the deterministic model is modified by inserting in th
e equations Gaussian noise sources [4]. As confirmed by checks based on th
e chi-square test\, the distributions of *chlorophyll a* concentration obt
ained by the stochastic model fit the field data better than those calcula
ted by the deterministic model.\n It is worth noting that in this study r
eal values for physical and biological variables were used. Specifically\,
the analysis exploits hydrological and nutrients data acquired in situ\,
including intraspecific competition for limiting factors.\nThe study and t
he results discussed here indicate the effectiveness of this approach for
reproducing real spatial distributions of *chlorophyll a* concentration. M
oreover we note that the stochastic advection-reaction-diffusion model pre
sented in this work can be extended to different marine ecosystems and use
d as a global model to forecast eventual decreases in the abundance of pri
mary production and to prevent the consequent decline of fish species.\n\n
$ $\n\n[1] F. Placenti\, K. Schroeder\, A. Bonanno\, S. Zgozi\, M. Sprovie
ri\, M. Borghini \, P. Rumolo\, G. Cerrati\, S. Bonomo\, S. Genovese\, G.
Basilone\, D. A. Haddoud\, B. Patti\, A. El Turki\, M. Hamza\, S. Mazzola\
, Water masses and nutrient distribution in the Gulf of Syrte and between
Sicily and Libya\, J. Mar. Syst. 121-122\, 36-46 (2013).\n\n[2] C. Brunet\
, R. Casotti\, V. Vantrepotte\, F. Conversano\, Vertical variability and d
iel dynamics of picophytoplankton in the Strait of Sicily\, Mediterranean
Sea\, in summer\, Mar. Ecol. Prog. Ser. 346\, 15-26 (2007).\n\n[3] D. Vale
nti\, G. Denaro\, R. Ferreri\, S. Genovese\, S. Aronica\, S. Mazzola\, A.
Bonanno\, G. Basilone\, B. Spagnolo\, Sci. Rep.\, Spatio-temporal dynamics
of a planktonic system and chlorophyll distribution in a 2D spatial domai
n: matching model and data 7\, 220 (2017).\n\n[4] G. Denaro\, D. Valenti\,
B. Spagnolo\, G. Basilone\, S. Mazzola\, S. W. Zgozi\, S. \nAronica\, A.
Bonanno\, Dynamics of two pico-phytoplankton groups in Mediterranean Sea:
Analysis of the deep chlorophyll maximum by a stochastic advection-reactio
n-diffusion model\, PLoS ONE 8\, e66765 (2013).\n\nhttps://zakopane.if.uj.
edu.pl/event/4/contributions/37/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stochastic gene expression in cells undergoing division
DTSTART;VALUE=DATE-TIME:20170905T095000Z
DTEND;VALUE=DATE-TIME:20170905T101000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-36@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Anna Ochab-Marcinek (Institute of Physical Chemistry
\, Polish Academy of Sciences)\nStochasticity in gene expression is one of
the most important problems of quantitative biology. It has been shown th
at\, in the systems as small as living cells\, production of proteins is s
trongly affected by random fluctuations coming from various sources. As a
result\, the biological noise is a meaningful factor influencing cellular
processes and cell-fate decisions. The particular questions explored withi
n the field of quantitative biology are\, among others\, the correct ident
ification of noise sources and correct estimation of noise parameters\, e.
g.\, frequencies and sizes of the random bursts of protein production.\n\
nWe propose a stochastic model of gene expression in cells undergoing divi
sion. The model combines a deterministic approximation of protein degradat
ion and the two sources of noise: 1) Random bursts of protein production\,
and 2) more or less random duration of the cell cycle. Random partitionin
g of proteins between daughter cells is also possible as the third source
of noise. \n\nIn the classical model proposed by the Xie group\, the effec
t of cell division was tacitly identified with the effect protein degradat
ion. We show that this may not be a correct assumption and the values of m
ean burst size and mean burst frequency inferred from the experiments usin
g the classical model may be wrong. We show that our model provides more r
easonable estimates for these quantities. Moreover\, our model demonstrate
s that the “noise floor”\, observed in the experiments and previously
ascribed to an unidentified extrinsic noise\, may be the effect of cell di
vision. Our model sets physical constraints\, based on the degree of rando
mness in cell cycle duration\, for the levels of noise in gene expression.
\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions/36/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stationary diffusion among partially reactive sinks: from von Smol
uchowski to recent advances
DTSTART;VALUE=DATE-TIME:20170904T130000Z
DTEND;VALUE=DATE-TIME:20170904T132000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-35@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Denis Grebenkov (CNRS)\nIn 1917\, von Smoluchowski f
ounded the first mathematical theory of diffusion-limited reactions by com
puting the diffusive flux towards a perfect spherical sink. In spite of ma
ny advances over the past hundred years\, stationary diffusion in complex
media with numerous sinks of various shapes and reactivities remains poorl
y understood. After a brief overview\, we present a recently developed gen
eralized method of separation of variables (GMSV) to solve boundary value
problems for the Poisson equation in three-dimensional canonical domains (
e.g.\, parallelepipeds\, cylinders\, spheres\, spheroids\, ...\, \nand the
ir combinations). In particular\, we derive a semi-analytical representati
on of the Green function for an arbitrary configuration of non-overlapping
partially reactive spherical sinks. This is the key object to determine v
arious characteristics of stationary diffusion such as reaction rate\, esc
ape probability\, harmonic measure\, residence time\, and mean first passa
ge time\, to name but a few. Based on this solution\, we introduce and inv
estigate an effective reaction radius of individual sinks or their cluster
s that significantly generalizes the famous Smoluchowski formula by accoun
ting for diffusion interactions between sinks and their mutual screening.\
n\nhttps://zakopane.if.uj.edu.pl/event/4/contributions/35/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Two forms of heat transfer via interaction with heat bath
DTSTART;VALUE=DATE-TIME:20170905T143500Z
DTEND;VALUE=DATE-TIME:20170905T145500Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-34@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Chulan Kwon (Myongji University)\nWe consider a clas
sical open system in contact with heat bath via interaction Hamiltonian. W
e investigate two forms of energy transfer via the change of interaction H
amiltonian\, which are interpreted as heats. One is heat dissipation from
the system and the other is heat absorption by the heat bath\, which are u
sually expected to be the same. Since the change of interaction Hamiltonia
n leads to the difference between the two heats\, the two are not the same
in non-stationary period. In non-equilibrium stationary state\, the two a
re only equal to each other in average and may differ in probability distr
ibution. We investigate the difference of the forms of heat for toy models
and molecular dynamic systems. It will be an interesting question which i
s a relevant choice of heat used for the first and second laws of thermody
namics. Further study on open quantum systems will be interesting.\n\nhttp
s://zakopane.if.uj.edu.pl/event/4/contributions/34/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Measuring effective temperatures in a Generalized Gibbs ensemble
DTSTART;VALUE=DATE-TIME:20170906T130000Z
DTEND;VALUE=DATE-TIME:20170906T133000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-33@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Laura Foini (École Normale Supérieure\, Paris)\nIn
Gibbs equilibrium\, fluctuation-dissipation relations can be generically
used to\nprobe the thermal properties of the system and measure its temper
ature.\nWhen the system under study is integrable\, though\, the dynamics
fails to approach such a Gibbs state\, reaching instead a generalized ense
mble with a macroscopic number of temperature-like parameters which enforc
e the value of the underlying conserved quantities.\nIn this setting we sh
ow that generalized fluctuation-dissipation relations for appropriately ch
osen -- yet very physical -- observables\, can be used to infer such tempe
ratures allowing us to reconstruct the non-thermal state.\nThese results c
an be applied to a large variety of models including the one dimensional B
ose gas where the relevant correlation function is provided by the structu
re factor\, a quantity that can be experimentally accessed.\n\nhttps://zak
opane.if.uj.edu.pl/event/4/contributions/33/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Translational and rotational Brownian motion of particles of compl
ex shapes
DTSTART;VALUE=DATE-TIME:20170908T072000Z
DTEND;VALUE=DATE-TIME:20170908T074000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-32@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Maria L. Ekiel-Jezewska (Institute of Fundamental Te
chnological Research\, Polish Academy of Sciences)\nThe characteristic tim
e scales of the translational and rotational Brownian diffusion for nanopa
rticles are typically much smaller than time resolution of the experiments
. In this case\, nanoparticles can be treated as point-like\, and describe
d by the standard Brownian theory. However\, for microparticles\, the char
acteristic Brownian time scales are of the order of seconds\, and therefor
e non-negligible in comparison to the typical time scales of the measured
Brownian motion. For microparticles of complex shapes\, a more general the
oretical approach is needed. The exact analytical expressions for the time
-dependent cross-correlations of the translational and rotational Brownian
displacements of a particle with arbitrary shape have been recently deriv
ed [1\,2]\, and it has been demonstrated how to benefit from these results
while analyzing experimental data [3].\n\n$ $\n\n[1] Cichocki B.\, Ekiel-
Jeżewska M. L.\, Wajnryb E.\, J. Chem. Phys. 142\, 214902\, 2015.\n \n[2]
Cichocki B.\, Ekiel-Jeżewska M. L.\, Wajnryb E.\, J. Chem. Phys. 144\, 0
76101\, 2016.\n\n[3] Cichocki B.\, Ekiel-Jeżewska M. L.\, Wajnryb E.\, Ar
ch. Mech. 69\, 1. 2017.\n\nhttps://zakopane.if.uj.edu.pl/event/4/contribut
ions/32/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Subdiffusion in a system consisting of two different media
DTSTART;VALUE=DATE-TIME:20170906T100000Z
DTEND;VALUE=DATE-TIME:20170906T101500Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-31@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Tadeusz Kosztolowicz (Institute of Physics\, Jan Koc
hanowski University in Kielce)\nWe consider subdiffusion in a system which
consists of two homogeneous media joined together\; subdiffusion paramete
rs can be different in both media [1\,2]. We also consider subdiffusion wi
th absorption in a composite system. The application of the theoretical mo
del to describe a real diffusion processes in the considered system is als
o presented. Confronting the theoretical formulas with the experimental da
ta we estimate subdiffusive parameters of colistin in aqueous agarose solu
tion and we show the subdiffusive character of colistin transport in the g
el.\n\n$ $\n\n[1] T. Kosztołowicz\, Int. J. Heat Mass Transf. 111\, 1322
(2017).\n[2] T. Kosztołowicz\, J. Chem. Phys. 146\, 084114 (2017).\n\nhtt
ps://zakopane.if.uj.edu.pl/event/4/contributions/31/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Order in quantum compass and orbital $e_g$ models
DTSTART;VALUE=DATE-TIME:20170905T093000Z
DTEND;VALUE=DATE-TIME:20170905T095000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-30@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Andrzej M. Oles (Jagiellonian University)\nExchange
interactions in orbital models are frustrated even on a\nsquare lattice\,
where two $T=1/2$ pseudospin components\n$T_i^{\\gamma}(\\theta)$ paramete
rized by angle $\\theta\\in(0\,\\pi/2]$ interact by terms $JT_i^{\\gamma}(
\\theta)T_j^{\\gamma}(\\theta)$.\nMaximal frustration in the quantum compa
ss model with \n$T_i^{\\gamma}(\\pi/2)\\equiv\\frac12\\sigma_i^{\\gamma}$\
, where \n$\\sigma_i^{\\gamma}$ is the Pauli matrix\, is reduced to modera
te \nfrustration for the $e_g$ orbital model at $\\theta=\\pi/3$ [1]. \nWe
investigate thermodynamic phase transitions at temperature $T_c$ \non an
infinite square lattice by variational tensor network renormalization (VTN
R) in imaginary time. From the linear susceptibility (order parameter) in
the symmetric (symmetry-broken) phase the onset of nematic order in the qu
antum compass model is estimated at $T_c/J=0.0606(4)$ [2]\, in good agreem
ent with Quantum Monte Carlo (QMC). For the 2D $e_g$ orbital model one fin
ds: ($i$) a very accurate VTNR estimate of $T_c/J=0.3566\\pm 0.0001$ while
QMC fails due to the sign problem\, and ($ii$) that the critical exponent
s are within the Ising universality class. Remarkably large difference in
frustration and entanglement results in so distinct $T_c$. \n\n$ $\n\n[1]
L. Cincio\, J. Dziarmaga\, and A. M. Oleś\, Phys. Rev. B **82**\, 1044
16 (2010).\n\n[2] P. Czarnik\, J. Dziarmaga\, and A. M. Oleś\, Phys. Rev.
B **93**\, 184410 (2016).\n\nhttps://zakopane.if.uj.edu.pl/event/4/contri
butions/30/
LOCATION: 30
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nonuniversality of heat engine efficiency at maximum power
DTSTART;VALUE=DATE-TIME:20170905T140000Z
DTEND;VALUE=DATE-TIME:20170905T141500Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-28@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Sang Hoon Lee (Korea Institute for Advanced Study)\n
We study the efficiency of a quantum dot engine in the condition of the ma
ximum power output. In contrast to the quasi-statically operated Carnot en
gine whose efficiency reaches the theoretical maximum\, recent research on
more realistic engines operated in finite time has revealed other classes
of efficiency such as the Curzon-Ahlborn efficiency maximizing the power.
The linear coefficient of such power-maximizing efficiency as a function
of the reservoir temperature ratio has been argued to be universal as $1/2
$ under the tight-coupling condition between thermodynamic fluxes. By taki
ng the quantum dot heat engine\, however\, we show that depending on the c
onstraint posed on the engine\, the linear coefficient can be unity\, whic
h implies that the efficiency at the maximum power actually approaches the
Carnot efficiency in the equilibrium limit. As a result\, we dismiss the
notion of universal linear coefficient of the efficiency at the maximum po
wer\, and discuss the implication of such a result in terms of entropy pro
duction and irreversible thermodynamics. We claim that the particular sche
me for the linear coefficient of unity is actually more realistic and expe
rimentally realizable\, as it corresponds to controlling the gate voltage
of the quantum dot\, for given temperatures and chemical potentials of the
leads connected to the quantum dot.\n\nhttps://zakopane.if.uj.edu.pl/even
t/4/contributions/28/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Time-dependent fluctuations and superdiffusivity in the driven lat
tice Lorentz gas
DTSTART;VALUE=DATE-TIME:20170904T132000Z
DTEND;VALUE=DATE-TIME:20170904T134000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-27@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Thomas Franosch (Universität Innsbruck)\nWe conside
r a tracer particle on a lattice in the presence of immobile obstacles. St
arting from\nequilibrium\, a force pulling on the particle is switched on\
, driving the system to a new stationary\nstate. We solve for the complet
e transient dynamics of the fluctuations of the tracer position\nalong the
direction of the force. The analytic result\, exact in first order of the
obstacle density\nand for arbitrarily strong driving\, is compared to sto
chastic simulations. Upon strong driving\, the\nfluctuations grow superdif
fusively for intermediate times\; however\, they always become diffusive i
n\nthe stationary state. The diffusion constant is nonanalytic for small d
riving and is enhanced by\norders of magnitude by increasing the force.\n\
nhttps://zakopane.if.uj.edu.pl/event/4/contributions/27/
LOCATION: 30
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Spin-glass-like transition in the majority vote model with contrar
ians
DTSTART;VALUE=DATE-TIME:20170908T081000Z
DTEND;VALUE=DATE-TIME:20170908T083000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-26@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Andrzej Krawiecki (Faculty of Physics\, Warsaw Unive
rsity of Technology)\nMajority vote model on random graphs and scale-free
networks is investigated\, in which a\nfraction p of agents (called contra
rians or anticonformists)\nfollows an antiferromagnetic update rule\, i.e.
\, they assume\, with\nprobability governed by a parameter q (0 < q < 1/2)
\, the opinion opposite to that of the majority\nof their neighbors\, whil
e the remaining 1-p fraction of agents follows the usual ferromagnetic upd
ate\nrule assuming\, with probability governed by the same parameter q\, t
he opinion in accordance with \nthat of the majority of their neighbors. F
or p=1 it is shown by Monte Carlo simulations and using \nthe Binder cumul
ants method that for decreasing q the model undergoes second-order \nphase
transition from a disordered (paramagnetic) state to a spin-glass-like st
ate\, \ncharacterized by a non-zero value of the spin-glass order paramete
r measuring the overlap of \nagents' opinions in two replicas of the syste
m\, and simultaneously by the magnetization close to \nzero. Besides\, in
this state the correlation of the agents' opinions exhibits exponentially\
ndecaying oscillations\, as expected in the spin-glass phase.\nIn the case
of the model on scale-free networks the critical value of the parameter q
weakly\ndepends on the details of the degree distribution. As p is decrea
sed\, the critical value of q\nfalls quickly to zero and only the disorder
ed phase is observed. On the other hand\, for p close to \nzero for decrea
sing q the usual ferromagnetic transition is observed.\n\nhttps://zakopane
.if.uj.edu.pl/event/4/contributions/26/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Griffiths phases on a large human Open Connectome network
DTSTART;VALUE=DATE-TIME:20170905T131500Z
DTEND;VALUE=DATE-TIME:20170905T133000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-25@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Geza Odor (MTA-EK-MFA\, Research Center for Energy\,
Hungarian Academy of Sciences)\nExtended numerical simulations of thresho
ld models have been performed on a human brain network with\nN=836733 conn
ected nodes available from the Open Connectome Project [1]. While in the
case of simple\nspreading models like contact process\, SIS or threshold m
odel a sharp discontinuous phase transition\, without any critical dynamic
s arises\, variable threshold models exhibit extended power-law scaling re
gions. This is attributed to fact that Griffiths effects\, stemming from t
he topological or interaction heterogeneity of the network\, can become re
levant if the input sensitivity of nodes is equalized. Nonuniversal power-
law avalanche size and time distributions have been found with exponents a
greeing with the values obtained in electrode experiments of the human bra
in [2]. Power-law activity time dependences occur sub-critically in an ext
ended control parameter space region without the assumption of self-organi
zation. Probably the most important result of this study is that negative
weights enable local sustained activity and promote strong rare-region eff
ects without network fragmentation. Thus\, connectomes with high graph dim
ensions can be subject to rare-region effects and can show measurable Grif
fiths effects. Another important observation is that power-laws may occur
in a single network\, without sample averaging\, due to the modular topolo
gical structure. Link directness\, as well as the consequence of inhibitor
y connections is studied. Robustness with respect of random removal of lin
ks suggest that connectome generation errors do not modify the Griffths ef
fects qualitatively.\n\n$ $\n\n[1] M.T. Gastner and G. Ódor\, Sci. Rep. 5
\, 14451 (2015).\n\n[2] G. Ódor PRE 94\, 062411 (2016).\n\nhttps://zakop
ane.if.uj.edu.pl/event/4/contributions/25/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Memory in stochastic and chaotic processes
DTSTART;VALUE=DATE-TIME:20170905T123000Z
DTEND;VALUE=DATE-TIME:20170905T125000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-24@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Andrzej Fulinski (M. Smoluchowski Institute of Physi
cs\, Jagiellonian University\, Łojasiewicza 11\, Kraków\, Poland Polish
Academy of Arts & Sciences\, Sławkowska 17\, 31-016 Kraków\, Poland)\nD
etection and quantification of presence of memory in various stochastic an
d chaotic processes is discussed. Short introduction of definitions\, sign
atures\, and measures is presented\, and several examples of the applicati
on of the introduced formalism are discussed in detail.\n\nThese examples
show that nonmarkovian are: most of proceses with stationary correlation f
unction $C(t\,s)=C(|t-s|)$ (with notable exception of stationary Ornstein-
Uhlenbeck process)\, chemical reaction\, fractional Brownian motions\, cha
otic processes from Feigenbaum cascade\, and quantum processes interacting
with heat bath. The discussed methods can be applied also to experimental
data in the form of sample paths. It is shown in this way that nonmarkovi
an are\, among others\, the driven transport through nanochannels\, and Br
ownian motions of nanoparticles inside living cells.\n\nhttps://zakopane.i
f.uj.edu.pl/event/4/contributions/24/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eliminating inertia of a stochastic microswimmer with constant spe
ed
DTSTART;VALUE=DATE-TIME:20170906T090000Z
DTEND;VALUE=DATE-TIME:20170906T093000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-23@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Lutz Schimansky-Geier (Department of Physics\, Humbo
ldt-University at Berlin)\nAn often used model for an active entity is the
two dimensional stochastic microswimmer. It moves due to a propulsive mec
hanism with constant speed and changes the direction due to deterministic
and random torques. Despite the simplicity\, the model it is not an overd
amped situation. Intertia is reflected by an initial ballistic behaviour.
Only after an crossover time being the relaxation time of the orientationa
l directions the motion becomes normally diffusive characterized by a diff
usion coefficient.\n\n$ $\n\nIn the report I discuss the properties and th
e distribution of displacements of the stochastic microswimmer with consta
nt speed. Various situations with several random torques like Gaussian w
hite noise\, an Ornstein-Uhlenbeck process and alpha-stable noise will be
studied. Special attention is devoted to the adiabatic elimination of ine
rtia in the model and the derivation of the overdamped limit. It results f
or all types of random torques in a Gaussian simplification similar to a B
rownian particle driven by white noise. Therein the noise intensity addre
sses the specific noise sources.\n\n$ $\n\nJ. Nötel\, I.M. Sokolov\, L.
Schimansky-Geier\, „Diffusion bof active particles with stochastic torqu
es modeled as alpha-stable noise“\, Journal of Physics A: Mathematical
and Theoretical **50** (3)\, 034003 (2016).\n\nS. Milster\, J. Nötel\, I
.M. Sokolov\, L. Schimansky-Geier\, „Eliminating inertia in a stochastic
model of a microswimmer with constant speed“\, Eur. Phys. J. Special T
opics **226**\, 2039-2055 (2017).\n\nJ. Nötel\, I.M. Sokolov\, L. Schima
nsky-Geier\, „Gaussian appproximation of the stochastic microswimmer dri
ven by alpha-stale noise\, submitted for publication.\n\nhttps://zakopane.
if.uj.edu.pl/event/4/contributions/23/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A mesoscopic model for the DNA G-quadruplex stability analysis
DTSTART;VALUE=DATE-TIME:20170905T090000Z
DTEND;VALUE=DATE-TIME:20170905T093000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-22@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Alessandro Fiasconaro (Universidad de Zaragoza\, Spa
in)\nThe G-quadruplexes (G4) are non-canonical secondary DNA and RNA struc
tures composed of four guanine basis bonded each other in a quartets formi
ng piled planes. They have been found both in vivo and in vitro cultures\,
and have important role in telomere end-protection\, and chromosome stabi
lity. Their folding patterns and structures are also found in eukaryotic p
romoter regions of oncogenes\, making them increasingly recognized among c
hemists and biologists due to their potential applications in Nanomedicine
as therapeutic targets in cancer treatments.\n\n$ $\n\nIn the last years\
, single-molecule techniques have attracted much attention between the sci
entific community and a number of groups have used it extensively to analy
ze the mechano-chemical behavior of DNA and RNA. Optical and magnetic twee
zers\, as well as Atomic Force Microscopies\, are employed to characterize
not only the mechanical stability and unfolding dynamics of G-quadruplexe
s\, but also to unveil structural intermediates not accessible to ensemble
-average techniques due to their relatively low occurrence.\n\n$ $\n\nThe
stability of the G-quadruplex structure is related\, among the others\, to
the specific structural G-quadruplex conformation\, and the presence of a
cation between each G4 planes.\nTo date\, many experiments have been cond
ucted\, which want to finely analyze rupture profiles in single force-exte
nsion curves.\nAlthough the increasing number of experiments on the subjec
t\, the theoretical predictions remain difficult\, due essentially to the
long computational time required by atomistic simulations\, which\, moreov
er\, use parameter values (for example the velocity at which one extreme
of the quadruplex is pulled to induce the rupture) some orders of magnitud
e far away from the experimental values.\n\n$ $\n\nWith the aim to bridge
the gap between experiment and theoretical expectations\, we build a mesos
copic physical model of the G-quadruplex structure with a reduced number o
f degrees of freedom and effective potential that permits to study the mec
hanical unfolding in a wider interval of time scales than those allowed in
all atom simulations\, in particular under different pulling velocities.
The subsequent analysis on the light of the most recent stochastic theorie
s for rupture force - as those of Bell\, Dudko and Yoreo - permit the esti
mations of the potential barriers and positions that characterize the ener
gy landscape of the unfolding process.\n\n$ $\n\nSome validation of the mo
del with the results of experiments will be presented.\n\nhttps://zakopane
.if.uj.edu.pl/event/4/contributions/22/
LOCATION: 56
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arrays of coupled two-state oscillators
DTSTART;VALUE=DATE-TIME:20170904T080000Z
DTEND;VALUE=DATE-TIME:20170904T083000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-21@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Katja Lindenberg (University of California\, San Die
go)\nWe discuss synchronization of arrays of coupled two-state stochastic
oscillators with additional fluctuations due to finite numbers of units\,
types and ranges of couplings\, memory effects\, etc. If time permits we p
resent phase diagrams\n\nhttps://zakopane.if.uj.edu.pl/event/4/contributio
ns/21/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stochastic dynamics in biological ion channels
DTSTART;VALUE=DATE-TIME:20170905T140000Z
DTEND;VALUE=DATE-TIME:20170905T143000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-19@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Peter McClintock (Department of Physics\, Lancaster
University)\nThe passage of ions through biological cell membranes [1] is
essential for life at all levels. It occurs via ion channels through prote
ins embedded in the membrane\, and involves Brownian motion under the infl
uence of powerful electrostatic forces. The permeation process is highly s
elective\, e.g. in valence selectivity a calcium channel selects Ca$^{2+}$
over Na$^+$ by up to 1000:1. There is still no general agreement on the p
hysical mechanism(s) underlying selectivity\, but it is known to be associ
ated with fixed negative charge $Q_f$ in a narrow part of the channel call
ed the selectivity filter. There are persuasive arguments [2] that valence
selectivity arises from ionic Coulomb blockade (ICB)\, a phenomenon that
is closely analogous to electronic Coulomb blockade in semiconductor devic
es such as quantum dots and which gives rise to distinct conduction bands
and stop-bands as $Q_f$ is varied. We report the first systematic tests [3
] of the ICB picture based on experimental\, analytical and numerical inv
estigations of the influences of the fixed charge and bulk ionic concentra
tions on conduction and selectivity in the bacterial NaChBac channel and i
ts mutants. Site-directed mutagenesis and voltage clamp recordings were us
ed to investigate its Na$^+$/Ca$^{2+}$ selectivity\, divalent blockade and
anomalous mole fraction effect (AMFE). We show that an enhanced ICB model
can describe well both the main experimental observations (divalent block
ade and AMFE) and the results of Brownian dynamics simulations including t
he conduction bands and concentration-dependent shifts of the Coulomb stai
rcase of channel occupation. We take account of multi-ion effects\, the di
screteness of the ionic energy levels\, their occupation statistics\, and
the density of states in the channel\, and we consider a generalisation of
the theory to encompass selectivity between alike charges [4\,5]. These r
esults are not only extending the understanding of ion channel selectivity
but also promise applications to biomimetic nanopores with charged walls.
\n\n$ $\n\n[1] J. Zheng and M. C. Trudeau (eds.)\, *Handbook of Ion Channe
ls*\, CRC Press\, Boca Raton\, 2015.\n\n[2] I. Kh. Kaufman\, P. V. E. McCl
intock\, and R. S. Eisenberg\, "Coulomb blockade model of permeation and s
electivity in biological ion channels"\, *New J. Phys.* **17**\, 083021 (2
015).\n\n[3] I. Kh. Kaufman\, O. A. Fedorenko\, D. G. Luchinsky\, W. A. T.
Gibby\, S. K. Roberts\, P. V. E. McClintock\, and R. S. Eisenberg\, "Ioni
c Coulomb blockade and anomalous mole fraction effect in the NaChBac bacte
rial ion channel and its charge-varied mutants"\, *EPJ Nonlinear Biomed. P
hys.*\, in press (2017).\n\n[4] D. G. Luchinsky\, W. A. T. Gibby\, I. Kh.
Kaufman\, D. A. Timucin\, and P. V. E. McClintock\, "Statistical theory of
selectivity and conductivity in biological channels"\, *arXiv preprint* a
rxiv:1604.05758 (2016).\n\n[5] W. A. T. Gibby\, D. G. Luchinsky\, I. Kh. K
aufman\, A. Ward\, and P. V. E. McClintock\, "Kinetic model of selectivity
and conductivity of the KcsA filter"\, *International Conference on Noise
and Fluctuations*\, IEEE\, doi 10.1109/ICNF.2017.7985935 (2017).\n\nhttps
://zakopane.if.uj.edu.pl/event/4/contributions/19/
LOCATION: Aula
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mesoscopic and metastable quantum systems
DTSTART;VALUE=DATE-TIME:20170904T133000Z
DTEND;VALUE=DATE-TIME:20170904T140000Z
DTSTAMP;VALUE=DATE-TIME:20221210T020103Z
UID:indico-contribution-4-18@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Bernardo Spagnolo (University of Palermo)\nWe shortl
y review the transient dynamics of mesoscopic systems\, such as Josephson
junctions\, in noisy environments. The role of noise induced solitons and
breathers on the mean switching time from the superconducting metastable s
tate to the resistive state\, in the presence of an external noise source
modeled by α-stable Lévy distributions\, will be outlined.\nThereafter\,
the dissipative dynamics of a particle moving in a strongly asymmetric do
uble well potential\, interacting with a thermal bath will be considered.
Common wisdom is that quantum fluctuations enhance the escape rate from me
tastable states in the presence of dissipation. We show that dissipation c
an enhance the stability of a quantum metastable system. We find that the
escape time from the metastable region has a nonmonotonic behavior\, with
a maximum\, versus the system-bath coupling\, and with a minimum versus th
e temperature\, thus producing a stabilizing effect. Therefore\, as the te
mperature increases\, an enhancement of the escape time is observed\, incr
easing the stability of the metastable state. These results shed new light
on the role of the environmental fluctuations in stabilizing quantum meta
stable systems. \n We will show then\, how the combined effects of strong
Ohmic dissipation and monochromatic driving affect the stability of a quan
tum system with a metastable state. We find that\, by increasing the coupl
ing with the environment\, the escape time makes a transition from a regim
e in which it is substantially controlled by the driving\, displaying reso
nant peaks and dips\, to a regime of frequency-independent escape time wit
h a peak followed by a steep fall off. The quantum noise enhanced stabilit
y phenomenon is observed in the system investigated. Resonant activation\,
the presence of a minimum in the mean escape time\, occurs when the time
scale of the modulations is the same as the characteristic time scale of t
he system’s dynamics. The simple quantum system considered displays as w
ell the general features that at slow modulations the mean escape time is
dominated by the slowest configuration assumed by he system\, while at fas
t modulations the escape dynamics is determined by the average configurati
on. \n\n$ $\n\n[1] D. Valenti\, C. Guarcello\, and B. Spagnolo\, Phys. Rev
. B **89**\, 214510 (2014).\n\n[2] C. Guarcello\, D. Valenti\, and B. Spag
nolo\, Phys. Rev. B **92**\, 174519 (2015).\n\n[3] C. Guarcello\, D. Valen
ti\, B. Spagnolo\, V. Pierro and G. Filatrella\, Nanotechnology\, **28**\,
134001 (2017).\n\n[4] D. Valenti\, L. Magazzù\, P. Caldara\, and B. Spag
nolo\, “Stabilization of quantum metastable states by dissipation”\, P
hysical Review B **91**\, 235412 (7) (2015).\n\n[5] Luca Magazzù\, Angelo
Carollo\, Bernardo Spagnolo\, Davide Valenti\, “Quantum dissipative dyn
amics of a bistable system in the sub-Ohmic to super-Ohmic regime”\, Jou
rnal of Statistical Mechanics: Theory and Experiment 054016 (2016).\n\n[6]
B. Spagnolo\, C. Guarcello\, L. Magazzù\, A. Carollo\, D. Persano Adorno
\, D. Valenti\, “Nonlinear Relaxation Phenomena in Metastable Condensed
Matter Systems”\, Entropy\, 19 (1)\, 20 (2017).
\n\n[7] L. Magazzù\,
P. Hänggi\, B. Spagnolo\, and D. Valenti\, “Quantum Resonant Activation
”\, Physical Review E 95 (13)\, 042104 (2017).\n\nhttps://zakopane.if.uj
.edu.pl/event/4/contributions/18/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/18/
END:VEVENT
END:VCALENDAR