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BEGIN:VEVENT
SUMMARY:Monte Carlo simulations of liquid crystal phases: behind the scene
s
DTSTART;VALUE=DATE-TIME:20210928T164500Z
DTEND;VALUE=DATE-TIME:20210928T164600Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-504@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Piotr Kubala (Jagiellonian University)\nComputer sim
ulations are a basic tool for modeling soft matter since only a handful of
models can be solved exactly or they can be treated only with phenomenolo
gical theories. For most soft interactions a standard molecular dynamic (M
D) integration is a go-to tool. However\, hard interactions pose a problem
because of infinite forces during collisions. While there exist collision
event-driven extensions to MD\, the most straightforward way of simulatin
g hard-core systems is the Monte Carlo Metropolis-Hasting algorithm. Altho
ugh the basic version of the Monte-Carlo (MC) algorithm is easy to impleme
nt\, it becomes very inefficient for a large number of interaction centers
. This work summarizes some optimizations\, including neighbor grid and pa
rallelization using domain division which enables to simulate tens of thou
sands of interaction centers for tens of millions of full MC cycles within
a reasonable time. Moreover\, it provides a summary of problems that may
hinder the equilibration of the system together with possible solutions to
them.\n\nhttps://zakopane.if.uj.edu.pl/event/17/contributions/504/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/504/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Brownian yet non-Gaussian diffusion in models of disordered system
s
DTSTART;VALUE=DATE-TIME:20210929T143000Z
DTEND;VALUE=DATE-TIME:20210929T145000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-503@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Igor Sokolov (Humbold University at Berlin)\nExperim
ental possibility of single particle tracking on molecular scales lead to
a splash of interest to the precise forms of the probability density funct
ions (PDFs) of displacements of classical particles diffusing in complex e
nvironments. This lead to the discovery of an intriguing phenomenon of Bro
wnian yet non-Gaussian diffusion in which these PDFs are strongly non-Gaus
sian (at least at short times\, when they typically have a tent-like shape
) with slow convergence to Gaussian at long times\, while the mean squared
displacement grows linearly in time in the whole time domain\, like in no
rmal diffusion. The phenomenon is probably not mono-causal\, and several m
odels for this were proposed. These models can be roughly divided into two
classes: the ones with time-dependent (fluctuating) diffusivity\, and the
ones\, in which diffusion in static\, correlated random environments is c
onsidered. We show that the behavior of the PDF in these two classes of mo
dels during the convergence to a Gaussian is very different.\n\nIn models
of fluctuating diffusivities\, like in usual diffusion\, the concentration
profile\, starting from an initial distribution showing sharp features\,
rapidly gets smooth and then converges to a Gaussian. The art of convergen
ce to a Gaussian in diffusion in disordered media with infinite contrast m
ay be strikingly different: sharp features of initial distribution do not
smooth out at long times and persist indefinitely. This peculiarity of the
strong disorder may be of importance for diagnostics of disorder in compl
ex\, e.g. biological\, systems.\n\nhttps://zakopane.if.uj.edu.pl/event/17/
contributions/503/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/503/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The $q$-neighbor Ising model on multiplex networks with partial ov
erlap
DTSTART;VALUE=DATE-TIME:20210928T085500Z
DTEND;VALUE=DATE-TIME:20210928T090000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-501@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Andrzej Krawiecki (Faculty of Physics\, Warsaw Unive
rsity of Technology)\nThe $q$-neighbor Ising model is considered on multip
lex networks with two layers in the form of identical random graphs\, in w
hich only a fraction of nodes belongs to both layers\, forming the overlap
. In this model the probability of the spin flip for a node belonging only
to one layer is given by the Metropolis-like formula with the local field
depending on the states of its $q$ randomly chosen neighbors within this
layer\, and for a node belonging to the overlap is a product of the above-
mentioned probabilities for the two layers. Critical properties of the mod
el for varying temperature depend on the size of the neighborhood $q$ and
of the overlap $r$ as well as on the mean degree of nodes $ \\langle k \\r
angle$ within the layers. For large $\\langle k \\rangle$ results for the
model on multiplex networks with layers in the form of complete graphs are
reproduced which can be explained using mean-field approximation [A. Chmi
el *et al.*\, Phys. Rev. E 96\, 062137 (2017)]. In particular\, for $q=2$
for large enough $r$ including complete overlap first-order ferromagnetic
transition occurs\, for a narrow interval of smaller $r$ the paramagnetic
and ferromagnetic phases coexist for temperature decreasing to zero\, and
for small $r$ the paramagnetic phase is stable for any temperature\; and f
or $q \\ge 4$ the ferromagnetic transition is first-order for small $r$ an
d second-order for larger $r$ including complete overlap. As $\\langle k \
\rangle$ is decreased\, for $q=2$ first-order transition and coexistence o
f the paramagnetic and ferromagnetic phase occurs at smaller $r$\, and for
large and complete overlap second-order ferromagnetic transition appears\
; and for $q\\ge 4$ the interval of small $r$ for which first-order transi
tion occurs becomes narrower. Results of Monte Carlo simulations for the m
odel on multiplex networks with layers in the form of random regular graph
s show good quantitative agreement with predictions of the homogeneous pai
r approximation. Such agreement is remarkable since the latter approximati
on takes into account only heterogeneity of the nodes due to their locatio
n within or outside the overlap\, while the density of active links connec
ting spins with opposite orientation is assumed uniform within each layer.
\n\nhttps://zakopane.if.uj.edu.pl/event/17/contributions/501/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/501/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Design of structure of sodium alginate membranes filled with iron
oxide nanoparticles based on experimental results and simulation of diffus
ion process
DTSTART;VALUE=DATE-TIME:20210928T164200Z
DTEND;VALUE=DATE-TIME:20210928T164500Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-502@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Anna Strzelewicz (Silesian University of Technology)
\, Monika Krasowska (Silesian University of Technology)\nFor each material
\, it is possible to individually select the optimal parameters that most
accurately describe its unique nature and that influence the features that
interest the user. We investigate the morphology of cross-sections of the
sodium alginate membranes filled with various amount of magnetite and cro
sslinked using different agents. We expect that different amount of magnet
ite particles in alginate matrix cross-linked by different agents influenc
e on structure and morphology properties and also affects the diffusion an
d transport properties. Therefore\, we try to explore the ways of showing
this relationship by simulating the motion of a particle in the membrane e
nvironment. In our case\, it is a simulation of random walk on the struct
ures of hybrid alginate membranes. Also\, for a better understanding of th
e problem\, we model structures of two–dimensional heterogenic membranes
which resemble real hybrid alginate structures and then simulate random w
alk on them. The generated structures of polymeric membranes are created w
ith the desired quantity\, size and distribution of obstacles\, which corr
esponds to the given amount of magnetite in the hybrid alginate membrane.
Generated membranes possessing specific parameters that are comparable to
the real hybrid alginate membranes filled with magnetite. Simulations of t
he particle motion support understanding of the mass transport through pol
ymer materials and give a real chance to find the relation between diffusi
on and structure properties.\n\n[1] G. Dudek\, M. Krasowska\, R. Turczyn\,
M. Gnus\, A. Strzelewicz\, Sep. Pur. Tech. 182 101 (2017)\n[2] M. Krasows
ka\, A. Strzelewicz\, G. Dudek\, M. Cieśla\, Phys. Rev. E 95\, 012155 (20
17)\n[3] A. Strzelewicz\, M. Krasowska\, G. Dudek\, M. Cieśla\, Chem. Phy
s. 531\, 110662 ( 2020)\n\nhttps://zakopane.if.uj.edu.pl/event/17/contribu
tions/502/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/502/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Liquid crystal phases of banana-shaped hard-core molecules compose
d of balls
DTSTART;VALUE=DATE-TIME:20210927T143000Z
DTEND;VALUE=DATE-TIME:20210927T145000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-464@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Piotr Kubala (Jagiellonian University)\nLiquid cryst
als are a state of matter with the properties of both liquids and solids.
They have a long research history dating back to the 19th century and have
found countless applications\, with LCDs being arguably the most importan
t one of them. As demonstrated by Onsager\, the phase transition between i
sotropic liquid and nematic liquid crystal can be induced by excluded volu
me effects within the hard spherocylinder model. It turns out that other h
ard-core particle systems exhibit a variety of different liquid crystal ph
ases. We have performed molecular dynamic Monte Carlo simulations of achir
al banana-shaped particles built from hard spheres in the NpT ensemble wit
h varying bend angle and particles density. We have identified four distin
ct liquid crystal phases. The most notable one is twist-bend nematic\, whe
re the preferred direction varies in space with a periodic\, heliconical p
attern\, displaying a broken chiral symmetry.\n\nhttps://zakopane.if.uj.ed
u.pl/event/17/contributions/464/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/464/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Collagen as Hopf's fibration
DTSTART;VALUE=DATE-TIME:20210929T085500Z
DTEND;VALUE=DATE-TIME:20210929T090000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-486@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Ryszard Wojnar (Institute of Fundamental Technologic
al Research PAS)\nThe shape of many biomolecules is similar to the Coxeter
-Boerdijk (CB) helix\, made of tetrahedra placed next to each other in suc
h a way that the tetrahedrons are adjacent to each other with their faces.
The helix CB is the solution to the maximum packing task. In the collagen
helix\, every third amino acid is glycine (Gly)\, and the entire chain co
ntains primarily proline (Pro). Half of the Pro groups are hydroxyproline
(Hyp). Each collagen chain contains the repeating components of Gly-X-Y\,
with X or Y being almost always Pro or Hyp. That is why a single chain of
collagen itself is called proline. Proline is also found in biomolecules o
ther than collagen. In collagen\, the 3 proline (left-handed) helices fold
into one right-handed helix.\nThe chain of tetrahedra of the CB helix can
be detected in a polytope (3\, 3\, 5). It is the regular structure simila
r to the S3 hypersphere built of 600 tetrahedra. The 600-cell can be decom
posed over 25 overlapping 24-cells. The vertices of this structure\, numbe
ring 120\, are arranged 10 on the 12 non-intersecting great circles of the
hypersphere. These great circles are Hopf S3 fibration fibers\, each fibe
r having 10 vertices.\nWhile the structure of biological molecules seems c
omplicated\, their topology turns out to be simple thanks to spatial consi
derations\, as a result of which it turns out that mathematical helices ha
ve geometrical properties of biological helices. \n\nBibliography:\n\nH.S.
M. Coxeter\, Regular Polytopes (3rd ed.) New York\, Dover 1973. \nN. S
. Manton\, Connections on discrete fibre bundles\, Communications in Mathe
matical Physics 113\, 341-351 (1987). \n\nF. Sadoc and N. Rivier\, Boerdij
k-Coxeter helix and biological helices as quasicrystals\, Mat.Sci. and Eng
. Sp. Iss. Dec. 15\, 397-400 (2000).\n\nhttps://zakopane.if.uj.edu.pl/even
t/17/contributions/486/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/486/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stochastic resetting: When does it accelerate diffusive transport?
DTSTART;VALUE=DATE-TIME:20210927T070000Z
DTEND;VALUE=DATE-TIME:20210927T073000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-436@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Somrita Ray (Department of Chemistry\, Indian Instit
ute of Technology Tirupati)\nStochastic resetting [1] can either accelerat
e or delay a dynamical process that takes a random time to complete (i.e.\
, a first-passage process). Tuning system parameters can invert the effec
t of resetting on the mean completion time of the process\, leading to a *
resetting transition*. In this talk\, I shall first explore the exact cond
itions where stochastic resetting accelerates diffusive transport for a co
uple of analytically tractable systems\, viz.\, \n\n(i) diffusion in a lin
ear potential\, where the resetting transition is found to be governed by
the Péclet number [2]\, \n\n(ii) diffusion in a logarithmic potential\, t
hat exhibits a series of dynamical transitions when the constant strength
of the potential in the units of thermal energy\, is tuned [3]. \n\nBased
on the common trends that these model systems show\, a general framework c
an be proposed that reveals that the resetting transition is governed by a
n interplay between thermal and potential energy\; when thermal energy dom
inates the dynamics\, resetting can expedite the process [4]. Finally\, co
nsidering a toy model for space-dependent diffusion\, I shall show that wh
enever a dynamical process is diffusion-controlled\, resetting can\, in pr
inciple\, accelerate it [5]. We believe that our analysis will be useful i
n a variety of natural as well as man-made systems where resetting plays a
crucial role in diffusive transport.\n\n**References**:\n\n[1] M. R. Evan
s\, S. N. Majumdar\, and G. Schehr\, J. Phys. A: Math. Theor. 53\, 193001
(2020).\n[2] S. Ray\, D. Mondal and S. Reuveni\, J. Phys. A: Math. Theor.
52\, 255002 (2019).\n[3] S. Ray and S. Reuveni\, J. Chem. Phys. 152\, 2341
10\, (2020).\n[4] S. Ray and S. Reuveni\, J. Chem. Phys. (Comm.) 154\, 171
103\, (2021).\n[5] S. Ray\, J. Chem. Phys. 153\, 234904\, (2020).\n\nhttps
://zakopane.if.uj.edu.pl/event/17/contributions/436/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/436/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Combinatorial approach to modeling coagulation phenomena
DTSTART;VALUE=DATE-TIME:20210927T115000Z
DTEND;VALUE=DATE-TIME:20210927T115500Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-460@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Michał Łepek (Warsaw University of Technology\, Fa
culty of Physics)\nCoagulation (aggregation) is a phenomenon that consi
sts of combining clusters into larger clusters\, with the probability of m
erging depending on the size (or mass) of these clusters. Such an abstract
definition causes that we can find coagulation in a great number of real
processes: starting from blood coagulation\, through the processes known f
rom food and polymer processing\, to the creation of protoplanetary disks
(accretion). Several theoretical approaches to the coagulation processes h
ave been proposed over the years. The best-known analytical approach is on
e based on the Smoluchowski equation [1]. In the presentation\, we will br
iefly discuss solutions that arise from the Smoluchowski equation and pres
ent other theoretical approaches (stochastic and combinatorial). The latte
r\,i.e. the combinatorial approach\, can be seen as a novelty in the field
[2]. We will discuss in detail its requirements and solutions that were r
ecently obtained (e.g.\, solution for the electrorheological coagulation [
3]). These theoretical results were tested against numerical simulations a
nd proved their high accuracy. The current status of the knowledge and ope
n problems in the filed will be presented.\n\nReferences\n\n[1] P.L. Krapi
vsky\, S. Redner and E. Ben-Naim: A Kinetic View of Statistical Physics (
Chapter5)\, Cambridge University Press\, New York 2010.\n[2] M. Łepek\, A
. Fronczak\, P. Fronczak: Rep.Math.Phys.88(1)\, 89-113 (2021)\, Coalescens
e with arbitrary-parameter kernels and monodisperse initial conditions: A
study within combinatorial framework.\n[3] M. Łepek\, A. Fronczak\, P
. Fronczak: Phys.D 415\,132756 (2021)\, Combinatorial solutions to coagu
lation kernel for linear chains.\n\nhttps://zakopane.if.uj.edu.pl/event/17
/contributions/460/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/460/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The crucial role of inter-trade times in volatility clustering: a
continuous-time random walk description
DTSTART;VALUE=DATE-TIME:20210929T155500Z
DTEND;VALUE=DATE-TIME:20210929T160000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-498@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Jarosław Klamut (University of Warsaw\, Faculty of
Physics)\nContinuous-time random walk (CTRW) has found many applications i
n modelling complex systems dynamics\, especially physical or socio-econom
ic phenomena [1]. It is also successfully used to describe the behaviour o
f prices in the stock markets [2]. Spatial jumps represent price increment
s and inter-trade times are considered as waiting times. One of the most w
ell-known stylized fact about financial time series is activity clustering
regardless of intraday seasonality (lunch effect). Our latest results sug
gest that these dependencies between waiting times are the key element to
explain slowly decaying time autocorrelation of the absolute values of pri
ce changes [3].\n\nWe introduced a CTRW model in which waiting times come
from subordinated CTRW. In this subordinated process\, the value (waiting
time) is randomly selected and lasts for a random period of time. This res
ults in repeating waiting times in our model. In this way\, we can introdu
ce power-law step autocorrelation of waiting times. If the mean increment
is nonzero\, then time autocorrelation of changes decays like a power-law.
In the case of strong memory between waiting times\, the process has supe
rdiffusion. The exponents of both step and time autocorrelation are the sa
me. Analytical results were compared with empirical data from Polish stock
market.\n\n[1] Kutner\, R. & Masoliver\, J.\, *The continuous time random
walk\, still trendy: fifty-year history\, state of art and outlook*\, Eur
. Phys. J. B (2017) 90:50.\n[2] Klamut\, J. & Gubiec\, T.\, *Directed cont
inuous-time random walk with memory*\, Eur. Phys. J. B (2019) 92:69.\n[3]
Klamut\, J. & Gubiec\, T.\, *Continuous Time Random Walk with correlated w
aiting times. The crucial role of inter-trade times in volatility clusteri
ng*\, arXiv:1909.04986v2 (2019).\n\nhttps://zakopane.if.uj.edu.pl/event/17
/contributions/498/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/498/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Leveraging large deviation statistics to decipher the stochastic p
roperties of measured trajectories
DTSTART;VALUE=DATE-TIME:20210929T155000Z
DTEND;VALUE=DATE-TIME:20210929T155500Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-499@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Samudrajit Thapa (Tel Aviv University)\nSingle-parti
cle tracking routinely measures the motion of different particles in biolo
gical and soft-matter systems and often unveils characteristic deviations
of the observed stochastic dynamics from standard Brownian motion. To iden
tify the correct underlying physical mechanism often tools such as machine
-learning and Bayesian inference are employed. These methods are technical
ly involved and computationally expensive\, with the computational cost i
ncreasing with the number of models considered. We show that the large-dev
iation theory applied to the time-averaged mean-squared displacements prov
ides a simple-yet-efficient tool for the construction of decision trees to
reject certain models. This facilitates the reduction of the list of feas
ible models and thereby complements Bayesian and machine-learning methods.
We show how we can use this large-deviation theory based approach to unco
ver additional information from measured trajectories in complex liquids a
s well as climate data.\n\nhttps://zakopane.if.uj.edu.pl/event/17/contribu
tions/499/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/499/
END:VEVENT
BEGIN:VEVENT
SUMMARY:How fast is the ECG signal and why do we need a kinetic theory of
conductance
DTSTART;VALUE=DATE-TIME:20210929T153000Z
DTEND;VALUE=DATE-TIME:20210929T155000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-497@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Teodor Buchner (Faculty of Physics\, Warsaw Universi
ty of Technology)\nHuman body conducts electricity. It is obvious\, but ma
ny important details are not. It is argued why the most popular theory of
conductance in living tissue is not precise and requires a lot more of phy
sics. The foundations of molecular theory of biopotentials are sketched ou
t and the role of various molecular mechanisms of conductance and polariza
tion is explained. It is shown\, that there are many riddles in modern ele
ctrodiagnostics which cannot be satisfactorily described with use of prese
nt theories. It begins from such basic questions as e.g. the morphology of
the T wave\, the impact of perfusion on the ECG amplitude\, role of ionic
strength in signal transmission or the reasons for QRS changes observed a
fter dialysis. There is a growing number of phenomena\, which forms an evi
dence\, that a new theory of tissue conductance is required. Solution to m
any of these riddles may be found in the shape of electric impedance spect
ra and this is closely related to dielectric spectrum of materials\, which
for complex materials poses a complex problem. Finally the need for a kin
etic theory of polarization in electrolytes is expressed\; maybe Smoluchow
ski-Poisson-Boltzmann can solve the problems?\nThe research was funded by
POB Biotechnology and Biomedical Engineering of Warsaw University of Techn
ology within the Excellence Initiative: Research University (IDUB) program
1820/16/Z01/POB4/2021.\n\nhttps://zakopane.if.uj.edu.pl/event/17/contribu
tions/497/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/497/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Detecting Transient Trapping from a Single Trajectory: A Structura
l Approach
DTSTART;VALUE=DATE-TIME:20210929T151000Z
DTEND;VALUE=DATE-TIME:20210929T153000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-494@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Yann Lanoiselée (University of Birmingham)\nWe intr
oduce a new method to detect transient trapping events within a single\npa
rticle trajectory\, thus allowing the explicit accounting of changes in th
e particle’s dynamics over\ntime. Our method is based on new measures of
a smoothed recurrence matrix. The newly introduced set of measures takes
into account both the spatial and temporal structure of the trajectory. Th
erefore\,\nit is adapted to study short-lived trapping domains that are no
t visited by multiple trajectories.\nContrary to most existing methods\, i
t does not rely on using a window\, sliding along the trajectory\,\nbut ra
ther investigates the trajectory as a whole. This method provides useful i
nformation to study\nintracellular and plasma membrane compartmentalisatio
n. Additionally\, this method is applied to\nsingle particle trajectory da
ta of β2 -adrenergic receptors\, revealing that receptor stimulation resu
lts in\nincreased trapping of receptors in defined domains\, without chang
ing the heterogeneous diffusion of free receptors.\n\nLanoiselée\, Yann\,
Jak Grimes\, Zsombor Koszegi\, and Davide Calebiro. 2021. "Detecting Tran
sient Trapping from a Single Trajectory: A Structural Approach" Entropy 23
\, no. 8: 1044. https://doi.org/10.3390/e23081044\n\nhttps://zakopane.if.u
j.edu.pl/event/17/contributions/494/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/494/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simulation and tracking of fractional particles motion. From micro
scopy video to statistical analysis. A Brownian bridge approach.
DTSTART;VALUE=DATE-TIME:20210929T145000Z
DTEND;VALUE=DATE-TIME:20210929T151000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-496@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Monika Muszkieta (Hugo Steinhaus Center\, Wroclaw Un
iversity of Science and Technology)\nIn this talk\, we will go through the
whole single-particle tracking procedure\, from the extraction of traject
ories from a microscopy video to the statistical analysis of particles dyn
amics. We will consider typical problems arising on the experimental as we
ll as image processing level which lead to inaccurate\, fragmented traject
ories of short length\, and propose several strategies for dealing with in
complete data. We will show that\, depending on the chosen method\, the ob
tained results might vary significantly\, obviously influencing the final
conclusions.\nThis is a joint work with J. Janczura and A. Weron.\n\nhttps
://zakopane.if.uj.edu.pl/event/17/contributions/496/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/496/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dynamic crossover in homogeneous active matter
DTSTART;VALUE=DATE-TIME:20210929T140000Z
DTEND;VALUE=DATE-TIME:20210929T143000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-430@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Tomás S. Grigera (IFLySiB --- University of La Plat
a)\nThe dynamic critical behaviour of active matter systems is of theoreti
cal interest in itself but also because of its relevance to swarming in
biological groups\, where the dynamic critical exponent can be an elemen
t to discriminate between alternative models. Here we study the crossover
between the equilibrium and off-equilibrium dynamic universality classe
s in the Vicsek model near its ordering transition. Building on the i
ncompressible hydrodynamic theory of Chen et al. [New J. Phys. **17\,**
042002 (2015)]\, we show that increasing activity leads to a renormaliza
tion group (RG) crossover between the equilibrium ferromagnetic fixed poin
t (with dynamical critical exponent $z = 2$) and an off-equilibrium acti
ve fixed point (with $z \\approx 1.7$ in $d = 3$). We show in numerical
simulations that the classic Vicsek model in the near-ordering regime d
isplays a change in the effective dynamical exponent as speed is increas
ed\, in in remarkable agreement with the RG prediction. Finally we show
that the equilibrium to off-equilibrium crossover is ruled by a charact
eristic length scale\, beyond which active dynamics takes over.\n\nhttps
://zakopane.if.uj.edu.pl/event/17/contributions/430/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/430/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Inertial Lévy flights in bounded domains
DTSTART;VALUE=DATE-TIME:20210929T114000Z
DTEND;VALUE=DATE-TIME:20210929T120000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-474@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Karol Capała (Institute of Theoretical Physics\, UJ
)\nThe escape from a given domain is one of the fundamental problems in st
atistical physics and the theory of stochastic processes. In this talk we
will explore properties of the escape of an inertial particle driven by L
évy noise from a bounded domain\, restricted by two absorbing boundaries.
The properties of the mean first passage time for the integrated Ornstein
--Uhlenbeck process driven by Lévy noise will be compared to its Brownian
counterpart i.e. randomly accelerated process. Mean first passage time co
nsiderations will be complemented by analysis of the escape velocity and e
nergy along with their sensitivity to initial conditions.\n\nhttps://zakop
ane.if.uj.edu.pl/event/17/contributions/474/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/474/
END:VEVENT
BEGIN:VEVENT
SUMMARY:SHOULD I STAY OR SHOULD I GO? ZERO-SIZE JUMPS IN RANDOM WALKS FOR
LÉVY FLIGHTS
DTSTART;VALUE=DATE-TIME:20210929T112000Z
DTEND;VALUE=DATE-TIME:20210929T114000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-475@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Gianni Pagnini (BCAM - Basque Center for Applied Mat
hematics)\nMotivated by the fact that\, in the literature dedicated to ran
dom walks for anomalous diffusion\, it is disregarded if the walker does n
ot move in the majority of the iterations because the most frequent jump-s
ize is zero (i.e.\, the jump-size distribution is unimodal with mode locat
ed in zero) or\, in opposition\, if the walker always moves because the ju
mps with zero-size never occur (i.e.\, the jump-size distribution is bi-mo
dal and equal to zero in zero)\, we provide an example in which indeed the
shape of the jump-distribution plays a role.\nIn particular\, we show tha
t the convergence of Markovian continuous-time random walk (CTRW) models f
or Lévy flights to a density function that solves the fractional diffusio
n equation is not guaranteed when the jumps follow a bi-modal power-law di
stribution equal to zero in zero\, but\, as a matter of fact\, the resulti
ng diffusive process converges to a density function that solves a double-
order fractional diffusion equation.\nWithin this framework\, self-similar
ity is lost. The consequence of this loss of self-similarity is the emerge
nce of a time-scale for realizing the large-time limit. Such time-scale re
sults to span from zero to infinity accordingly to the power-law displayed
by the tails of the walker’s density function. Hence\, the large-time l
imit could not be reached in real systems.\nThe significance of this resul
t is two-fold: i) with regard to the probabilistic derivation of the fract
ional diffusion equation and also ii) with regard to recurrence and the re
lated concept of site fidelity in the framework of Lévy-like motion for w
ild animals.\n\nTalk based on:\nG. Pagnini and S. Vitali. Should I stay or
should I go? Zero-size jumps in random walks for Lévy flights\, Fract. C
alc. Appl. Anal.\, 24(1)\, 137–167\, 2021.\n\nhttps://zakopane.if.uj.edu
.pl/event/17/contributions/475/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/475/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Interacting Persistent Random Walkers
DTSTART;VALUE=DATE-TIME:20210929T110000Z
DTEND;VALUE=DATE-TIME:20210929T112000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-473@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Martin Evans (University of Edinburgh)\nIn this talk
I will consider persistent random walkers\, also known as run and tumble
particles\, which are emerging as a fundamental microscopic model of activ
e matter. I will review the properties of a single persistent walker then
consider the case of two persistent random walkers that interact through a
n exclusion interaction. An exact expression for the stationary state of t
wo such walkers on a periodic lattice reveals how the particles jam and ge
nerate an effective attractive potential. The full spectrum of the two-par
ticle problem can also be computed and exhibits exceptional points\, which
correspond to dynamical transitions in the relaxation time. \nJamming and
attraction of interacting run-and-tumble random walkers\, AB Slowman\, MR
Evans\, RA Blythe\, Physical review letters 116 (21)\, 218101 (2016) \nEx
act spectral solution of two interacting run-and-tumble particles on a rin
g lattice\, E Mallmin\, RA Blythe\, MR Evans\, Journal of Statistical Mech
anics: Theory and Experiment 2019 (1)\, 013204\n\nhttps://zakopane.if.uj.e
du.pl/event/17/contributions/473/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/473/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Colossal Brownian\, yet non-Gaussian diffusion in a periodic poten
tial
DTSTART;VALUE=DATE-TIME:20210929T103000Z
DTEND;VALUE=DATE-TIME:20210929T110000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-435@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Jakub Spiechowicz (University of Silesia)\nI will re
port on a novel class of Brownian\, yet non-Gaussian diffusion\, in which
the mean square displacement of the particle grows linearly with time\, th
e probability density for the particle spreading is Gaussian like\, but th
e probability distribution for its position increments possesses an expone
ntially decaying tail. In contrast to recent works in this area\, this beh
avior is not a consequence of either a space- or time-dependent diffusivit
y\, but is induced by external non-thermal noise acting on the particle dw
elling in a periodic potential. The exponential tail in the increment stat
istics leads to colossal enhancement of diffusion\, drastically surpassing
the previously researched situation known as “giant” diffusion.\n\nht
tps://zakopane.if.uj.edu.pl/event/17/contributions/435/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/435/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Enhancing transport by shaping barriers (beating activation energi
es)
DTSTART;VALUE=DATE-TIME:20210929T100000Z
DTEND;VALUE=DATE-TIME:20210929T103000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-426@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Emmanuel Trizac (Université Paris-Saclay)\nBrownian
escape is key to a wealth of physico-chemical processes\, including polym
er folding and information storage. The frequency of thermally activated e
nergy barrier crossings is assumed to generally decrease exponentially wit
h increasing barrier height. Here\, we show theoretically and experiment t
ally that higher\, fine-tuned barrier profiles result in significantly enh
anced escape rates\, in breach of the intuition relying on the above scali
ng law\, and address the corresponding conditions for maximum speed-up.\n\
nhttps://zakopane.if.uj.edu.pl/event/17/contributions/426/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/426/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Achieving robustness and precision in the developing spinal cord w
ith system-level feedback
DTSTART;VALUE=DATE-TIME:20210929T085000Z
DTEND;VALUE=DATE-TIME:20210929T085500Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-487@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Richard Ho (Jagiellonian University)\nSpinal cord de
velopment is a complex process due to the interplay of signaling molecules
over varying length and time scales. Despite the intrinsic stochasticity
of signaling events\, the resulting pattern of gene expression domains is
remarkably precise and reproducible between individuals. How this patterni
ng precision is achieved is still poorly understood. By investigating form
ation of source region (floor plate\, FP) that secrets signaling molecules
(morphogen\, Shh)\, the spread of these molecules across growing tissue a
nd the interpretation of resulting cellular signaling by gene network we w
ant to identify the system-level feedback driving precise pattern formatio
n. We use a thermodynamic model coupled with reaction-diffusion equation t
o describe inter-regulation of FP\, target genes and spreading of Shh mole
cules. We define a success criteria for simulations\, and examine the robu
stness\, size of FP\, and time evolution of these successful simulations t
o make predictions for the biological system. We find that the system deve
lopment can be divided into two phases\, and we then attempt to delineate
which model parameters most affect which of these two phases. We also find
that longer FP is associated with lower robustness to stochastic noise bu
t greater robustness to changes in initial conditions suggesting the exist
ence of an interesting trade-off.\n\nhttps://zakopane.if.uj.edu.pl/event/1
7/contributions/487/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/487/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The mechanics of domain formation in the gene expression profiles
DTSTART;VALUE=DATE-TIME:20210929T083000Z
DTEND;VALUE=DATE-TIME:20210929T085000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-484@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Maciej Majka (Jagiellonian University)\nIn embryo de
velopment\, cells specialize into their future role by changing their gene
expression levels in response to the concentrations of competing chemical
signals\, called morphogens. This paradigm is known as Wolpert’s French
flag model. In the mathematical modelling of these phenomena\, a profound
role is played by the reaction-diffusion equations involving some form of
activation term (i.e. the Hill function). Yet\, even the numerical analys
is of these models is usually challenging due to their non-linear nature a
nd large number of parameters involved. In this presentation\, I will disc
uss the analytical solution to the generic model of domain formation\, bas
ed on diffusion equations with a theta Heaviside activation term. The solu
tion reveals a phase transition in the domain formation and allows for an
exact insight into the dynamics of activation fronts and the conditions fo
r stabilization of activated domains. This will be discussed using the exa
mple of two mutually repressive genes.\n\nhttps://zakopane.if.uj.edu.pl/ev
ent/17/contributions/484/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/484/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Extinctions of coupled populations\, and rare event dynamics under
non-Gaussian noise
DTSTART;VALUE=DATE-TIME:20210929T081000Z
DTEND;VALUE=DATE-TIME:20210929T083000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-485@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Tal Agranov (University of Cambridge)\nThe survival
of natural populations may be greatly affected by environmental conditions
that vary in space and time. We look at a population residing in two loca
tions (patches) coupled by migration\, in which the local conditions fluct
uate in time. We report on two findings. First\, we find that\, unlike rar
e events in many other systems\, here the histories leading to a rare exti
nction event are not dominated by a single path. We develop the appropriat
e framework\, which turns out to be a hybrid of the standard saddle-point
method and the Donsker-Varadhan formalism which treats rare events of atyp
ical averages over a long time. It provides a detailed description of the
statistics of histories leading to the rare event and the mean time to ext
inction. The framework applies to rare events in a broad class of systems
driven by non-Gaussian noise. Second\, applying this framework to the popu
lation-dynamics model\, we find a phase transition in its extinction behav
ior. Strikingly\, a patch which is a sink (where individuals die more than
are born) can nonetheless reduce the probability of extinction\, even if
it lowers the average population's size and growth rate.\n\nhttps://zakopa
ne.if.uj.edu.pl/event/17/contributions/485/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/485/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Epidemic-Driven Collapse in a System with Limited Economic Resourc
e
DTSTART;VALUE=DATE-TIME:20210929T075000Z
DTEND;VALUE=DATE-TIME:20210929T081000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-482@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Oleksandr Kliushnichenko (Institute of Physics\, NAS
of Ukraine)\nWe consider the possibility of socioeconomic collapse of the
population caused by epidemics spreading. Using a simple model of negativ
e feedback we study the dynamics of epidemic spreading in a group of agent
s with its mutual influence on some formal resource (economical\, financia
l\, etc). A coupling mechanism between spreading- and resource-subsystem i
s supposed to be governed by over-barrier transitions (Arrhenius-like law)
that is possible when economic resource associated with average income pe
r agent formally represents the market temperature and obeys the Boltzmann
-Gibbs statistics [1]. We show that depending on the rate of epidemics spr
eading and on the availability of formal resource\, the system can come ba
ck to normal life\, can overcome the stress\, or move to another stable bu
t more "poor" state [2\,3]. Otherwise\, in the case of limited recourse an
d non-zero activation energy\, the epidemic intensified by the increasing
resource deficit can ultimately drive the system to collapse. While collap
sing\, the system can pass through a number of quasi-stable states\, its d
ynamics being resembling the so-called devil’s staircase. We also briefl
y discuss several mitigation strategies involving financial and social reg
ulations and illustrate the ambiguous effect of quarantine measures.\n\n[1
] A. Dragulescu\, V.M. Yakovenko\, Eur. Phys. J. B **17**\, 723 (2000)\n[2
] I.S. Gandzha\, O.V. Kliushnichenko\, S.P. Lukyanets\, Eur. Phys. J. B **
94**\, 90 (2021)\n[3] I.S. Gandzha\, O.V. Kliushnichenko\, S.P. Lukyanets
\, Chaos\, Solitons & Fractals **148**\, 111046 (2021)\n\nhttps://zakopane
.if.uj.edu.pl/event/17/contributions/482/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/482/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Unified Approach to Gated Reactions on Networks
DTSTART;VALUE=DATE-TIME:20210929T073000Z
DTEND;VALUE=DATE-TIME:20210929T075000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-483@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Yuval Scher ()\nFor two molecules to react they firs
t have to meet. Yet\, reaction times are rarely on par with the first pass
age times that govern such molecular encounters. A prime reason for this d
iscrepancy is stochastic transitions between reactive and nonreactive mole
cular states\, which results in effective gating of product formation and
altered reaction kinetics. To better understand this phenomenon we develop
a unifying approach to gated reactions on networks. We first show that th
e mean and distribution of the gated reaction time can always be expressed
in terms of ungated first-passage and return times. This relation between
gated and ungated kinetics is then explored to reveal universal features
of gated reactions. The latter are exemplified using a diverse set of case
studies which are also used to expose the exotic kinetics that arises due
to molecular gating.\n\nhttps://zakopane.if.uj.edu.pl/event/17/contributi
ons/483/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/483/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Non-Gaussian statistics in soft & bio-matter
DTSTART;VALUE=DATE-TIME:20210929T070000Z
DTEND;VALUE=DATE-TIME:20210929T073000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-427@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Ralf Metzler (University of Potsdam)\nBrownian yet n
on-Gaussian diffusion\, characterised by a linear scaling in time of the m
ean squared displacement but a non-Gaussian displacement distribution is a
phenomenon that has been observed in a variety of systems. In my talk\, a
fter a brief historical introduction to Brownian motion and the theory of
diffusion\, I will review experimental evidence and show how non-Gaussian
statistics emerge from random-parameter models\, extreme value arguments\,
and other models. In particular\, I will also talk about quenched versus
annealed disorder and demonstrate how shape-shifting in tracers leads to t
ime-fluctuating diffusivities. I will finally address anomalous diffusion
systems driven by long-ranged correlated Gaussian noise that\, in heteroge
neous environments\, exhibit non-Gaussian displacement distributions.\n\nh
ttps://zakopane.if.uj.edu.pl/event/17/contributions/427/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/427/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Roughness spectroscopy of particle monolayers
DTSTART;VALUE=DATE-TIME:20210928T163600Z
DTEND;VALUE=DATE-TIME:20210928T163900Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-500@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Paweł Weroński (J. Haber Institute of Catalysis an
d Surface Chemistry\, PAS)\nSurface roughness is an essential factor deter
mining many surface phenomena\, including adhesion\, friction\, wave refle
ction\, microfluidics\, electrochemistry\, and wettability. It is convenie
ntly described in terms of power spectral density of 2D height profile of
the surface. I will discuss the power spectral density of particle monolay
ers widely used as sensors\, substrates\, catalysts\, and antireflective o
r antimicrobial surfaces. I will demonstrate a close analogy between the s
urface power-spectral-density and the well known intensity of radiation sc
attering. I will also give a simple example of application of the function
in characterizing particle monolayers\n\nhttps://zakopane.if.uj.edu.pl/ev
ent/17/contributions/500/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/500/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Active Brownian Motion with Directional Reversals
DTSTART;VALUE=DATE-TIME:20210928T163000Z
DTEND;VALUE=DATE-TIME:20210928T163300Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-450@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Ion Santra (Raman Research Institute)\nActive Browni
an motion with intermittent direction reversals are common in a class of b
acteria including M. xanthus and P. putida. We show that\, for such a moti
on in two dimensions\, the presence of the two time scales set by the rota
tional diffusion constant $D_R$ and the reversal rate $\\gamma$ gives rise
to four distinct dynamical regimes: (I) $t\\ll \\min (\\gamma^{-1}\, D_R
^{-1})\,$ (II) $\\gamma^{-1}\\ll t\\ll D_R^{-1}$\, (III) $D_R^{-1} \\ll t
\\ll \\gamma^{-1}$\, and (IV) $t\\gg \\max (\\gamma^{-1}$\, $D_R^{-1})$\,
showing distinct behaviors. We characterize these behaviors by analytical
ly computing the position distribution and persistence exponents. The posi
tion distribution shows a crossover from a strongly non-diffusive and anis
otropic behavior at short-times to a diffusive isotropic behavior via an i
ntermediate regime (II) or (III). In regime (II)\, we show that\, the posi
tion distribution along the direction orthogonal to the initial orientatio
n is a function of the scaled variable $z\\propto x_{\\perp}/t$ with a non
-trivial scaling function\, $f(z)=(2\\pi^3)^{-1/2}\\Gamma(1/4+iz)\\Gamma(1
/4-iz)$. Furthermore\, by computing the exact first-passage time distribut
ion\, we show that a novel persistence exponent $\\alpha=1$ emerges due to
the direction reversal in this regime.\n\nhttps://zakopane.if.uj.edu.pl/e
vent/17/contributions/450/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/450/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Electron scattering by atoms and molecules\, multiple scattering a
pproximation\, Faddeev-Yakubovsky equations
DTSTART;VALUE=DATE-TIME:20210928T162700Z
DTEND;VALUE=DATE-TIME:20210928T163000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-449@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Serg Pozdneev (P.N.Lebedev Physical Institute)\nThe
main difficulties in the research of few-body problems are bounded with th
e really many-channels and multidimensional nature of the these problem\,
impossible applied many well-known theories such as adiabatic\, impulse\,
coupled hannels\, etc. For this reason we proposed new method for the inve
stigation of the different few-body processes used the mathematically rigo
rous formalism based on the treatment of collision processes as many body
processes\, using Faddeev-Yakubovsky equations [1\,2] (FYE) in integral an
d differential forms. In particular techniques based on FYE have been used
successfully in studies of the dynamics of few-particle systems (bound-st
ate properties and elastic\, reactive and breakup scattering) [2]. The fol
lowing results are presented and discussed. The investigation of the influ
ence of the long range part of pair-wise potentials in FYE on the scatteri
ng in few-body systems. The study on the correlation between low-energy ch
aracteristic in few-body scattering. The studding the unusual dynamical th
reshold phenomena in chemical reactions such as Efimov states based on FYE
. This research may be obtain the information of the reaction mechanism\,
PES etc. and may have a strong influence on the scattering observable.\n\n
[1] Faddeev L D and Merkuriev S P 1983 Quantum scattering theory for sever
al particles systems\, Kluwer\, London.\n\n[2] Pozdneev S A 2001 Applicati
on on the quantum theory of few-body scattering to the calculation of the
different processes in nuclear\, atomic and molecular physics\, Moscow\, J
anus-K.\n\nhttps://zakopane.if.uj.edu.pl/event/17/contributions/449/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/449/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Collective Dynamical Screening of Disordered Ensembles: Correlatio
n Function\, Local Force Fluctuations and Structure Factor
DTSTART;VALUE=DATE-TIME:20210928T162400Z
DTEND;VALUE=DATE-TIME:20210928T162700Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-448@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Oleksandr Kliushnichenko (Institute of Physics\, NAS
of Ukraine)\nWe study the effects of nonequilibrium correlations and inte
ractions between constituent particles of a bunch\, arising under the scat
tering of particle stream on a cluster or finite cloud of impurities. Thes
e induced correlations and dynamical friction forces on impurities are man
ifested most pronouncedly in the case of collective dynamical screening ef
fect and are enhanced in the case of a nonlinear medium when strong local
fluctuations of scattered field begin to act as additional scattering elem
ents due to the collective blockade effect near impurities. In addition\,
collective scattering effects depend on the degree of impurity cloud disor
der. The description of the impurity cluster in terms of effective paramet
ers breaks down due to the presence of strong fluctuations in the spatial
distribution of scatterers\, besides\, quantities characterizing the clust
er may lose self-averaging. The presence of strong fluctuations of the sca
ttered field is shown to give rise to strong local fluctuations of nonequi
librium forces acting on certain particles within the impurity cluster tha
t can be a precursor of dynamical instability of the cluster\, which is ma
nifested in the peculiar behavior of the tails of probability distribution
function for the drag force. The form of appropriate correlation function
relating the statistical properties of impurity cloud structure with loca
l forces is discussed. This is to estimate dynamics of impurity cloud in t
ime: stability of moving cluster\, the role of local pairing (depletion fo
rces)\, and possible nonlinear compression of the cluster as a whole.\n\n[
1] O.V. Kliushnychenko\, S.P. Lukyanets\, Phys. Rev. E **95**\, 012150 (20
17).\n[2] O.V. Kliushnychenko\, S.P. Lukyanets\, Phys. Rev. E **98**\, 020
101(R) (2018)\; arXiv: 2012.09266 (2020).\n\nhttps://zakopane.if.uj.edu.pl
/event/17/contributions/448/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/448/
END:VEVENT
BEGIN:VEVENT
SUMMARY:ON DISPERSIONLESS TRANSPORT IN WASHBOARD POTENTIALS
DTSTART;VALUE=DATE-TIME:20210928T162100Z
DTEND;VALUE=DATE-TIME:20210928T162400Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-447@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Ivan Marchenko (National Science Center „Kharkov I
nstitute of Physics and Technology”)\nPhenomena of Brownian particle tra
nsport and diﬀusion in tilted periodic potentials are realized in many d
iverse systems. Superionic conductors\, magnetic ratchets\, optical lattic
es\, charge-density waves\, granular gases\, Josephson junctions\, automat
ic phase-lock frequency control systems are some prominent examples. These
phenomena have been studied meticulously in recent decades [1]. These inv
estigations produced a host of intriguing discoveries\, including dispersi
onless transport. Such a coherent motion of the packet of particles formed
after them leaving the initial potential well under the action of the con
stant bias force was reported in [2].\nWe reassess the “dispersionless t
ransport regime” of Brownian particles in tilted periodic potentials. W
e show that the particles exhibit normal diﬀusive motion right after tra
nsitioning into the running state dragged by the constant bias force. No s
pecial transient dynamics appears\, contrary to conjectures in the previou
s studies. The observed ﬂat segment in the dispersion evolution curve is
solely due to the broad spatial distribution of particles formed in the e
arly superdiﬀusion stage. We quantitatively describe the whole evolutio
n of the distribution function during superdiﬀusion and the transition t
o the normal diﬀusion that follows\, in the framework of the 2-well pote
ntial in the velocity space model. We show that the superdiﬀusion expon
ent is α = 3. Estimate of the duration of the ostensible “dispersionles
s regime” is provided. It is shown to diverge exponentially as the tempe
rature decreases to zero.\n\n[1] P. Hanggi\, F. Marchesoni\, Rev. of Mod.
Phys. 81 (2009) 387.\n[2] K. Lindenberg\, J.M. Sancho\, A.M. Lacasta\,
I. M. Sokolov\, Phys. Rev. Let. 98 (2007) 020602.\n\nhttps://zakopane.if
.uj.edu.pl/event/17/contributions/447/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/447/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Monte Carlo simulation of particle segregation in evaporating bi-d
ispersed colloidal droplets
DTSTART;VALUE=DATE-TIME:20210928T161800Z
DTEND;VALUE=DATE-TIME:20210928T162100Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-446@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Konstantin Kolegov (Astrakhan State University)\nCol
loidal droplets are used in a variety of practical applications. Some appl
ications require particles of different sizes. These include medical diagn
ostic methods\, the creation of photonic crystals\, the formation of supra
particles\, and the production of membranes for biotechnology. Series of e
xperiments have previously shown the possibility of particle separation by
their size near the contact line. A mathematical model has been developed
to describe this process. Bi-dispersed colloidal droplets evaporating on
a hydrophilic substrate are taken into consideration. A particle monolayer
is formed due to the small value of the contact angle near the periphery
of such droplets. The shape of the resulting sediment is associated with t
he coffee ring effect. The model takes into account the particle diffusion
and transfer with a capillary flow caused by liquid evaporation. Monte Ca
rlo simulation of particle dynamics has been performed at several values o
f the solution concentration. The numerical results agree with the experim
ental observations\, in which small particles accumulate closer toward the
contact line than large particles.\n\nhttps://zakopane.if.uj.edu.pl/event
/17/contributions/446/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/446/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Application of the few-body quantum theory of scattering for guide
d control of chemical reaction and creation of the new molecular structure
s
DTSTART;VALUE=DATE-TIME:20210928T161500Z
DTEND;VALUE=DATE-TIME:20210928T161800Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-445@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Serg Pozdneev (P.N.Lebedev Physical Institute)\nGuid
ed control of molecular processes and creation of the new molecular struct
ure is a subject of active research in molecular and chemical physics. One
of the most natural and general approaches in this area is a quantum few-
body theory based on the Faddeev-Yakubovsky equations [1\,2]. It is based
on the idea\, that the possible mechanisms of occurrence of chemical react
ions based on a specific multiparticle interaction under condition of low
coupling energy between clasters of the system.\n\nInvestigation of the me
thods and tools for creation of the new molecular structures with new prop
erties and control of chemical reaction on the base quantum theory of few-
body system are presented. A general method for study three-body recombina
tion reactions base on Faddeev-Yakubovsky equations is developed. Calculat
ions of the three-body recombination rate of the reactions [2-5] H + H + H
→ H 2 +H\, He+He+He → He 2 +He\,Cs + +Dr − R → CsBr + R for low e
nergies are compere with classical results and other approximations.\n\nRe
ferences:\n[1] L.D. Faddeev\, S.P Merkuriev Quantum scattering theory for
several particles systems\, Kluwer\, London\, 1993.\n[2] Pozdneev S.Applic
ation of quantum theory of scattiring to the calculations of different pro
cesses in nuclear\, atomic and molecular physics\, Moscow\, Janus-K\, 2001
.\n\nhttps://zakopane.if.uj.edu.pl/event/17/contributions/445/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/445/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Modeling cellular spreading and motility on curved surfaces
DTSTART;VALUE=DATE-TIME:20210928T161200Z
DTEND;VALUE=DATE-TIME:20210928T161500Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-444@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Raj Kumar Sadhu (Weizmann Institute of Science\, Isr
ael)\nCells often adhere and migrate on curved surfaces\, such as the fibe
rs of the extra-cellular matrix (ECM)\, cylindrical protrusions of other c
ells etc. However\, most of the cell biological studies examine cell migra
tion mechanisms using cells on flat surfaces. We study the spreading and m
igration of a cell-like vesicle on curved surfaces\, such as cylinders\, s
inusoidal surface etc. The vesicle is composed of curvature-sensitive prot
eins\, that diffuse on its surface\, and also recruit actin polymerization
\, which applies an active protrusive force. We note that on the outside o
f a cylinder\, the vesicle coils or migrates circumferentially\, rather th
an axially. For a cylinder of smaller radius\, however\, they prefer not t
o coil or migrate\, but spreads weakly. In contrast\, inside a cylinder\,
the vesicle prefers to elongate or migrate along the axial direction. On a
sinusoidal surface with alternating dips (minima) and peaks (maxima)\, th
e vesicle behaves in similar way as inside and outside of a cylinder\, res
pectively. The vesicle prefers to stay in the dip and align axially. Howev
er\, if placed on the peak\, it prefers to slide down to the dip. While mi
grating from one dip to another\, it crosses the peak at higher angle and
larger speed. Our results are in agreement with experiments\, and offer an
explanation for some of the observed curvature-sensitivity of cell migrat
ion patterns.\n\nhttps://zakopane.if.uj.edu.pl/event/17/contributions/444/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/444/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hopf bifurcation in addition-shattering kinetic equations
DTSTART;VALUE=DATE-TIME:20210928T160900Z
DTEND;VALUE=DATE-TIME:20210928T161200Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-443@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Sergey Matveev (Institute of Numerical Mathematics\,
RAS)\nWe explore dynamical properties of addition-shattering kinetic equa
tions. For a long time researchers believed that only possible asymptotic
regime in closed systems was a steady state. However\, stable oscillatory
solutions were recently discovered in a series of numerical experiments fo
r a closed system of kinetic equations describing simultaneous aggregation
\n$$\n[i] \\oplus [j]~\\rightarrow{\\text{$K_{ij}$}} ~[i+j]\n$$\nand shatt
ering\n$$\n[i] \\oplus [j]~ \\rightarrow{\\text{$\\lambda \\cdot K_{ij}$}}
~\\underbrace{[1]+\\cdots+[1]}_{i+j}\n$$\nprocesses\, where $K_{ij}$ are
kinetic rates and weight $0\n\nhttps://zakopane.if.uj.edu.pl/event/17/cont
ributions/443/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/443/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anomalous dynamics governed by a generalized Langevin equation for
the active Brownian particle in a viscoelastic polymer environment
DTSTART;VALUE=DATE-TIME:20210928T160600Z
DTEND;VALUE=DATE-TIME:20210928T160900Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-442@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Sungmin Joo (Pohang University of Science and Techno
logy)\nWe study the collective dynamics for a viscoelastic active system w
here the fluctuation-dissipation theorem (FDT) is violated. We set up a mi
nimal model\, where an active Brownian particle (ABP) is cross-linked to a
star polymer of functionality f in a viscous fluid. The ABP has self-prop
elled motion from its own energy consumption and attains a strong non-Mark
ovian anomalous motion due to the viscoelastic feedback from the polymer.
We have performed extensive Langevin dynamics simulations on this system a
t various conditions for two cases in which a star polymer is made up with
Rouse chains or worm-like chains (WLC). Our study shows that in the Rouse
polymer system the ABP cross-linker with the scaling $\\langle\\Delta R^2
(t)\\rangle\\sim t^{\\alpha}$ has rich dynamic patterns from the Rouse dyn
amics ($\\sim t^{1/2}$) to logarithmic one ($\\sim \\ln t$) depending on t
he strength of self-propulsion[1]. In the WLC environment\, the ABP cross-
linker shows distinct dynamic behavior. In particular\, the seemingly Rous
e dynamics can occur due to the active non-equilibrium fluctuation. We exp
lain the observed collective dynamics of the ABP cross-linker in the frame
work of generalized Langevin equations with two distinct--thermal and athe
rmal--noises.\n\n[1] S. Joo\, X. Durang\, O.-c. Lee\, and J.-H. Jeon\, Sof
t Matter **16**\, 9188–9201 (2020)\n\nhttps://zakopane.if.uj.edu.pl/even
t/17/contributions/442/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/442/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Macroion Conformation in Electrolyte Solution – Modelling\, Expe
riment and Slender Body Hydrodynamics
DTSTART;VALUE=DATE-TIME:20210928T160300Z
DTEND;VALUE=DATE-TIME:20210928T160600Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-441@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Dawid Lupa (M. Smoluchowski Institute of Physics\, J
agiellonian University\; Jerzy Haber Institute of Catalysis and Surface Ch
emistry\, Polish Academy of Sciences)\nMacroions are an important class of
compounds with properties characteristic both of polymers and charged mol
ecules. Most commonly\, macroions are studied using only experimental tech
niques such as dynamic light scattering (DLS)\, laser Doppler velocimetry
(LDV) and viscosity measurements. This allows one to evaluate their molar
mass distribution\, the radius of gyration\, the contour length\, intrinsi
c viscosity and sedimentation coefficient.\n\nHowever\, despite of extensi
ve experimental research\, no comprehensive characteristics of most studie
d macroions were acquired using simultaneously theoretical modelling and d
ifferent experimental techniques. This results in only semiquantitative in
formation about macroion conformation and may led to wrong conclusions abo
ut their properties.\n\nTherefore\, we have performed thorough characteris
tics of carrageenan\, chitosan and poly(L-lysine) solutions using a combin
ation of the all-atom molecular dynamics (MD) modelling\, DLS\, LDV and vi
scosity measurements. Our investigations yielded quantitative information
about the macroion molecule properties such as its ionization degree\, cha
in length and cross-section area under a broad range of conditions. We hav
e shown that all studied macroions exhibit a flexible-rod shape with no sh
arp bending. \n\nThe obtained data allows the prediction of macroion adsor
ption kinetics and facilitate a proper interpretation of experimental tech
niques that require calibration\, especially quartz crystal microbalance o
r the streaming potential measurements.\n\nhttps://zakopane.if.uj.edu.pl/e
vent/17/contributions/441/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/441/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Influence of a magnetic field on the drainage mechanism of the thi
n liquid film (TLF) and real foams stabilized by magneto-reactive surfacta
nts
DTSTART;VALUE=DATE-TIME:20210928T160000Z
DTEND;VALUE=DATE-TIME:20210928T160300Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-440@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Borkowski Mariusz (Jerzy Haber Institute of Cataly
sis and Surface Chemistry Polish Academy of Sciences)\nFoam is a dispersed
system consisting of a large number of bubbles\, which are divided by a t
hin liquid film (TLF)\, which is made of two interacting adsorption layers
. A parameter describing the stability of TLF is its thickness h\, its cha
nge over time determines the drainage kinetics. The laboratory model of th
e mentioned situation is an air bubble\, which forms TLF with the free sur
face of the solution. The above-mentioned model is often used when it come
s to the description of more complex dispersed systems. The carried out re
search consisted in the analysis of the influence of an applied magnetic f
ield on the adsorption properties of a magneto-reactive surfactant (DTAF).
Additionally\, our team has researched the impact of a magnetic field on
the drainage of individual TLFs\, formed under dynamic conditions. To achi
eve this aim\, an apparatus has been built\, its main parts are an electro
magnet\, a system generating a single bubble\, a tensiometer\, and a refra
ctometric spectrometer. The used set-up allowed us to determine the influe
nce of a magnetic field on the changes of the surface tension and the chan
ges of the TLF thickness over time. As a result of the experiments\, spect
acular differences in the obtained values of surface tension and kinetics
of foam drainage have been acquired\, in the presence of a magnetic field
and its absence. Foam films interacting with a magnetic field were charact
erized by a faster rate of drainage\, the bubble itself – with a shorter
lifetime. The most probable theoretical justification of the observed eff
ects lies in the field of magnetohydrodynamics and generations of magnetic
pressure.\n The research was carried out thanks to the financial support
of the National Science Center (NCN) as a part of the OPUS project (2017/2
5/B/ST8/01247).\n\nhttps://zakopane.if.uj.edu.pl/event/17/contributions/44
0/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/440/
END:VEVENT
BEGIN:VEVENT
SUMMARY:First passage under restart for discrete space and time
DTSTART;VALUE=DATE-TIME:20210928T155000Z
DTEND;VALUE=DATE-TIME:20210928T155500Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-481@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Ofek Lauber (Tel Aviv University)\nFirst passage und
er restart has recently emerged as a conceptual framework to study various
stochastic processes under a restart mechanism. Restart has been shown to
expedite the completion of many first passage processes which otherwise w
ould take a longer time to finish. However\, most of the studies so far fo
cused on continuous time and space\, while discrete processes received les
s attention. In this talk\, I will bridge this gap by presenting a renewal
approach for studying discrete space and time first passage processes und
er discrete time resetting. Using this general set-up\, I compute the mome
nts and the probability mass function of the restarted first passage time
and derive a sufficient criterion for geometric restart to be beneficial.
I will demonstrate the usefulness of this method by applying it to one-dim
ensional lattice random walks in confined geometry.\n\nReferences\n\n[1] B
onomo\, O.L. and Pal\, A.\, 2021. First passage under restart for discrete
space and time: Application to one-dimensional confined lattice random wa
lks. Physical Review E\, 103(5)\, p.052129.\n[2] Bonomo\, O.L. and Pal\, A
.\, 2021. The P\\'{o} lya and Sisyphus lattice random walks with resetting
--a first passage under restart approach. arXiv preprint arXiv:2106.14036.
\n\nhttps://zakopane.if.uj.edu.pl/event/17/contributions/481/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/481/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bayesian inference of Lévy walks via hidden Markov models: parame
ter estimation and model classification
DTSTART;VALUE=DATE-TIME:20210928T155500Z
DTEND;VALUE=DATE-TIME:20210928T160000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-480@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Seongyu Park (Pohang University of Science and Techn
ology)\nLévy walk is a non-Markovian anomalous diffusion model that has b
een widely used to describe random walks in diverse fields such as biology
\, quantum physics\, and ecology. One of the controversial issues in these
fields is that whether the given diffusion dynamics can be successfully e
xplained by a Lévy walk or not\, which becomes a nontrivial issue if diff
usion data is short and noisy. In this work\, we propose a Bayesian infere
nce method for model classification and parameter estimation of time trace
data of noisy Lévy walks. We propose how to calculate the likelihood fun
ction of a Lévy walk\, which is a non-Markovian process\, via hidden Mark
ov models. With this likelihood function\, we carry out the Bayesian model
comparison and parameter estimation on the simulated trajectories at vari
ous conditions. We demonstrate that the likelihood function is successfull
y calculated via hidden Markov model\, and the Bayesian inference works we
ll for the trajectories with moderate signal-to-noise levels.\n\nhttps://z
akopane.if.uj.edu.pl/event/17/contributions/480/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/480/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gut’s complexity
DTSTART;VALUE=DATE-TIME:20210928T153000Z
DTEND;VALUE=DATE-TIME:20210928T155000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-478@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Dante R. Chialvo (Center for Complex Systems and Br
ain Sciences\, Instituto de Ciencias Físicas\, Universidad Nacional de Sa
n Martin \, (Argentina))\nOur guts host one of the largest interaction net
work\, only comparable in size and complexity with the nervous and the in
mune systems. The intricacy of its organization it just started to be unve
iled as novel DNA technology provides data. We will describe our most rec
ent efforts in that direction.\n\nhttps://zakopane.if.uj.edu.pl/event/17/c
ontributions/478/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/478/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The role of the Laplace distribution in stochastic resetting
DTSTART;VALUE=DATE-TIME:20210928T151000Z
DTEND;VALUE=DATE-TIME:20210928T153000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-479@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Aleksander Stanislavsky ()\nDiffusion with stochasti
c resetting is very popular in the study of many phenomena in physics\, bi
ophysics\, chemistry. A wide diversity of random processes and restart mec
hanisms are widespread in nature\, science and technology. As a stochastic
process under resetting\, we consider a subordinated Brownian process\, a
nd the restart time is exponentially distributed with constant rate. In th
is case the stationary state has the Laplace distribution in which the sca
ling parameter is dependent on the Laplace exponent of the random process
directing Brownian motion as a parent process. The directing process may b
e taken from a wide set of infinitely divisible random processes. Changing
the subordinator\, we can modify the parameter\, but the stationary state
still obeys the Laplace distribution. If the linear potential acts on the
subordinated Brownian motion under resetting\, this leads to an asymmetri
c form of the Laplace distribution. If Brownian motion becomes Lévy fligh
ts\, due to resetting the stationary state has the Linnik distribution\, g
eneralizing the Laplace case in the sense of geometrically infinitely divi
sible distributions. This analysis includes the ordinary diffusion with re
setting as a particular example.\n\nhttps://zakopane.if.uj.edu.pl/event/17
/contributions/479/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/479/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Random amplitude stochastic resetting
DTSTART;VALUE=DATE-TIME:20210928T145000Z
DTEND;VALUE=DATE-TIME:20210928T151000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-476@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Marcus Dahlenburg (Basque Center for Applied Mathema
tics: BCAM)\nStochastic resetting is a stochastic process that is reset ra
ndomly in time to its initial position and it is used in many applications
as a search strategy.\n\nIn my talk I will introduce a model whose resett
ing events have a random amplitude instead of a back-step to the origin [1
]. \nIn particular\, we study and discuss two classes of random-amplitude
stochastic resetting: independent and dependent resetting. \nIndependent r
esetting is characterized by amplitudes that are unconditioned to the rese
tting events\, which occur in the opposite direction with respect to the a
verage free-propagation. Dependent resetting amplitudes have in turn limit
s on the system states such that the particle may be only partially reset
towards the trajectory’s origin. \nIndependent resetting is a non-statio
nary stochastic process which may overshoot the initial position\, whose m
ean and variance show a linear growth in time\, while dependent resetting
is a generalization of stochastic resetting and is a stationary stochastic
process. \nGeophysical layering (Stratigraphy) and population dynamic are
direct applications for both classes of random-amplitude stochastic reset
ting.\n\n1. M. Dahlenburg\, A. V. Chechkin\, R. Schumer\, and R. Metzler\,
Stochastic resetting by a random amplitude\, Phys. Rev. E\, 103\, 052123
(2021)\n\nhttps://zakopane.if.uj.edu.pl/event/17/contributions/476/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/476/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Geometric Brownian Motion under Stochastic Resetting: A Stationary
yet Non-ergodic Process
DTSTART;VALUE=DATE-TIME:20210928T143000Z
DTEND;VALUE=DATE-TIME:20210928T145000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-477@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Viktor Stojkoski (Macedonian Academy of Sciences and
Arts)\nWe study the effects of stochastic resetting on geometric Brownian
motion (GBM)\, a canonical\nstochastic multiplicative process for non-sta
tionary and non-ergodic dynamics. Resetting is a sudden\ninterruption of a
process\, which consecutively renews its dynamics. We show that\, althoug
h resetting\nrenders GBM stationary\, the resulting process remains non-er
godic. Quite surprisingly\, the effect\nof resetting is pivotal in manifes
ting the non-ergodic behavior. In particular\, we observe three\ndifferent
long-time regimes: a quenched state\, an unstable and a stable annealed s
tate depending\non the resetting strength. Notably\, in the last regime\,
the system is self-averaging and thus the\nsample average will always mimi
c ergodic behavior establishing a stand alone feature for GBM\nunder reset
ting. Crucially\, the above-mentioned regimes are well separated by a self
-averaging time\nperiod which can be minimized by an optimal resetting rat
e. Our results can be useful to interpret\ndata emanating from stock marke
t collapse or reconstitution of investment portfolios.\n\nhttps://zakopane
.if.uj.edu.pl/event/17/contributions/477/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/477/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Accumulation time of stochastic processes with resetting
DTSTART;VALUE=DATE-TIME:20210928T140000Z
DTEND;VALUE=DATE-TIME:20210928T143000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-434@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Paul Bressloff ()\nOne of the characteristic feature
s of a stochastic process under resetting is that the probability density
converges to a non-equilibrium stationary state (NESS). In addition\, the
approach to the stationary state exhibits a dynamical phase transition\, w
hich can be interpreted as a traveling front separating spatial regions fo
r which the probability density has relaxed to the NESS from those where t
ransients persist. A very different mechanism for generating an NESS occur
s within the context of diffusion-based morphogenesis\, in which an extrin
sic localized current source combined with degradation within the interior
of the domain leads to the formation of a protein concentration gradient.
A common method for characterizing the relaxation process is to calculate
the so-called accumulation time. The latter is the analog of the mean fir
st passage time of a search process\, in which the survival probability de
nsity is replaced by an accumulation fraction density. In this paper\, we
extend the definition of the accumulation time to stochastic processes wit
h resetting by showing how the probability density associated with traject
ories that reset at least once evolves in an analogous fashion to protein
concentration gradients. We consider a range of examples\, including diffu
sion with instantaneous resetting\, resetting with refractory periods and
finite return times\, and non-diffusive processes such as run-and-tumble p
articles. In each case we calculate the accumulation time as a function of
the spatial separation from the reset point.\n\nhttps://zakopane.if.uj.ed
u.pl/event/17/contributions/434/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/434/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Diffraction and interference with run-and-tumble particles
DTSTART;VALUE=DATE-TIME:20210928T113500Z
DTEND;VALUE=DATE-TIME:20210928T114000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-493@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Kasper Meerts (KU Leuven)\nRun-and-tumble particles\
, frequently considered today for modeling bacterial locomotion\, naturall
y appear outside a biological context as well\, e.g. for producing waves i
n the telegraph process. Here\, we use a wave function to drive their prop
ulsion and tumbling. Such quantum-active motion realizes a jittery motion
of Dirac electrons (as in the famous Zitterbewegung): the Dirac electron i
s a run-and-tumble particle\, where the tumbling is between chiralities. W
e visualize the trajectories in diffraction and double slit experiments fo
r electrons. In particular\, that yields the time-of-arrival statistics of
the electrons at the screen. Finally\, we observe that away from pure qua
ntum guidance\, run-and-tumble particles with suitable spacetime-dependent
parameters produce an interference pattern as well.\n\nhttps://zakopane.i
f.uj.edu.pl/event/17/contributions/493/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/493/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stochastic jetting and dripping in confined soft granular flows
DTSTART;VALUE=DATE-TIME:20210928T113000Z
DTEND;VALUE=DATE-TIME:20210928T113500Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-492@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Michał Bogdan (Institute of Chemical Physics\, Poli
sh Academy of Sciences)\nWe report new dynamical modes in confined soft gr
anular flows\, such as stochastic jetting and dripping\, with no counterpa
rt in continuum viscous fluids. The new modes emerge from an avalanche-lik
e dynamics of a close-packed monodisperse emulsion entering a narrow orifi
ce. We observe formation of remarkably stable single-file granular jets wh
ich occasionally break resulting in non-Gaussian distribution of cluster s
izes. We find that the sequences of droplet rearrangements that lead to th
e formation of such chains resemble unfolding of cancer cell clusters in n
arrow capillaries\, overall demonstrating that the microfluidic emulsion s
ystems could serve to model certain aspects of tissue dynamics.\n\nhttps:/
/zakopane.if.uj.edu.pl/event/17/contributions/492/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/492/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Resonances in Electron Scattering by Molecules
DTSTART;VALUE=DATE-TIME:20210928T111000Z
DTEND;VALUE=DATE-TIME:20210928T113000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-488@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Serg Pozdneev (P.N.Lebedev Physical Institute)\nThe
methods of the quantum theory few-body scattering based on the Faddeev-Yak
ubovsky equations [1] in momentum and configuration space are present [1\,
2]. Scattering states properties of three-body resonantly interacting part
icles are considered and are shown to be independent of a form of two-body
forces\, being determined only presence of resonances. The resonances pro
duce an effective long range interaction between three particles [1-2]. Th
is methods are applied to the calculation of the dissociative electron att
achment to hydrogen and hydrogen-halide diatomic initial\nrovibrational ex
iting molecules H2\, N2\, Li2\, Na2\, HCl\, DCl\, HBr\, DBr\, HJ\, DJ.\n\n
References: \n[1] Faddeev L D and Merkuriev S P 1983 Quantum scattering th
eory for several particles systems\, Kluwer\, London.\n[2] Pozdneev S A 20
01 Application on the quantum theory of few-body scattering to the calcula
tion of the different processes in nuclear\, atomic and molecular physics\
, Moscow\, Janus-K.\n\nhttps://zakopane.if.uj.edu.pl/event/17/contribution
s/488/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/488/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Integral decomposition for the solutions of the generalized Cattan
eo equation
DTSTART;VALUE=DATE-TIME:20210928T105000Z
DTEND;VALUE=DATE-TIME:20210928T111000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-490@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Górska Katarzyna (Institute of Nuclear Physics\, Po
lish Academy of Sciences)\nWe present the integral decomposition for the f
undamental solution of the generalized Cattaneo equation with both time de
rivatives smeared through convoluting them with some memory kernels. For p
ower-law kernels $t^{-\\alpha}$\, $\\alpha\\in (0\, 1]$ this equation beco
mes the time fractional one governed by the Caputo derivatives in which th
e highest order is 2.To invert the solutions from the Fourier-Laplace doma
in to the space-time domain we use analytic methods based on the Efross th
eorem and find out that solutions looked for are represented by integral d
ecompositions which tangle the fundamental solution of the standard Cattan
eo equation with nonnegative and normalizable functions being uniquely dep
endent on the memory kernels. Furthermore\, the use of methodology arising
from the theory of complete Bernstein functions allows us to assign such
constructed integral decompositions the interpretation of subordination. T
his fact is preserved in two limit cases built into the generalized Cattan
eo equations\, i.e.\, either the diffusion or the wave equations. We point
out that applying the Efross theorem enables us to go beyond the standard
approach which usually leads to the integral decompositions involving the
Gaussian distribution describing the Brownian motion. Our approach clarif
ies puzzling situation which takes place for the power-law kernels $t^{-\\
alpha}$ for which the subordination based on the Brownian motion does not
work if $\\alpha\\in (1/2\, 1]$.\n\n[1] K. Górska\, Integral decompositio
n for the solutions of the generalized Cattaneo equation\, Phys. Rev. E 10
4 (2021) 024113\n[2] K. Górska\, A. Horzela\, E. K. Lenzi\, G. Pagnini\,
T. Sandev\, Generalized Cattaneo (telegrapher's) equations in modeling ano
malous diffusion phenomena\, Phys. Rev. E 102 (2020) 022128\n\nhttps://zak
opane.if.uj.edu.pl/event/17/contributions/490/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/490/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paradigm shift in diffusion-mediated surface phenomena
DTSTART;VALUE=DATE-TIME:20210928T103000Z
DTEND;VALUE=DATE-TIME:20210928T105000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-491@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Denis Grebenkov (CNRS)\nDiffusion-mediated surface p
henomena are crucial for human life and industry\, with examples ranging f
rom oxygen capture by lung alveolar surface to heterogeneous catalysis\, g
ene regulation\, membrane permeation and filtration processes. Their curre
nt description via diffusion equations with mixed boundary conditions is l
imited to simple surface reactions with infinite or constant reactivity. I
n this talk\, we present a probabilistic approach based on the concept of
boundary local time [1] to investigate the intricate dynamics of diffusing
particles near a reactive surface [2]. Reformulating surface-particle int
eractions in terms of stopping conditions\, we obtain in a unified way maj
or diffusion-reaction characteristics such as the propagator\, the surviva
l probability\, the first-passage time distribution\, and the reaction rat
e [3-5]. This general formalism allows us to describe new surface reaction
mechanisms such as for instance surface reactivity depending on the numbe
r of encounters with the diffusing particle that can model the effects of
catalyst fooling or membrane degradation. The disentanglement of the geome
tric structure of the medium from surface reactivity opens far-reaching pe
rspectives for modeling\, optimization and control of diffusion-mediated s
urface phenomena.\nReferences:\n[1] D. S. Grebenkov\, Phys. Rev. E 100\, 0
62110 (2019)\n[2] D. S. Grebenkov\, Phys. Rev. E 102\, 032125 (2020)\n[3]
D. S. Grebenkov\, Phys. Rev. Lett. 125\, 078102 (2020)\n[4] D. S. Grebenko
v\, J. Stat. Mech. 103205 (2020)\n[5] D. S. Grebenkov\, J. Phys. A.: Math.
Theor. 54\, 015003 (2021)\n\nhttps://zakopane.if.uj.edu.pl/event/17/contr
ibutions/491/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/491/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elastohydrodynamics of microscale swimming
DTSTART;VALUE=DATE-TIME:20210928T100000Z
DTEND;VALUE=DATE-TIME:20210928T103000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-433@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Maciej Lisicki (Institute of Theoretical Physics\, F
aculty of Physics\, University of Warsaw)\nSwimming microorganisms and eng
ineered artificial swimmers use multiple strategies to achieve propulsion
in the viscosity-dominated microworld. A number of them use long\, filamen
tous appendages called cilia or flagella. The motion of these slender obje
cts is governed by a complex interplay between the driving forces\, the el
astic properties of the fibres\, and the resistance forces of fluid. In my
talk\, I will describe the basic ideas behind microscale swimming and hig
hlight the role of elastic flagella in swimming. I will show examples of b
oth natural swimmers and artificial systems which can be described using e
lastohydrodynamics. \n\nA recently studied system involving an emulsion of
microscopic droplets of oil in water exhibits swimming induced by an extr
usion of elastic fibres by the droplets [1]. The extrusion is controlled b
y a surface phase transition of the surfactant\, and it drives the motion
of droplets. Extruded fibres undergo dynamic buckling and produce complex
shapes\, which we describe by a combination of theoretical modelling and n
umerical simulations\, which serve as the basis for interpretation of expe
rimental data.\n\n[1] D. Cholakova\, M. Lisicki\, S.K. Smoukov\, S. Tchola
kova\, E. Lin\, J. Chen\, G. De Canio\, E. Lauga\, N. Denkov\, *Rechargeab
le self-assembled droplet microswimmers driven by surface phase transition
s*\nNature Physics (2021).\n\nhttps://zakopane.if.uj.edu.pl/event/17/contr
ibutions/433/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/433/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stochastic thermodynamics of anomalous diffusion generated by scal
ed and fractional Brownian motions
DTSTART;VALUE=DATE-TIME:20210928T085000Z
DTEND;VALUE=DATE-TIME:20210928T085500Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-472@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Seyed Mohsen Jebreiil Khadem (Institute for Theoreti
cal Physics\, Technical University of Berlin\,)\nWe study stochastic therm
odynamics for non-equilibrium systems that can exhibit anomalous diffusion
with the main focus on deriving an integral fluctuation relation (IFR) fo
r the total entropy production. The dynamics of those systems are describe
d by (i) Markovian processes with a time-dependent diffusivity such as sc
aled Brownian motion and (ii) non-Markovian fractional Brownian motion. Th
e former case is an immediate generalization of normal diffusion which is
used here mainly\, first\, to generalize the definitions of the thermodyna
mic quantities such as heat\, work and entropy production along a single t
rajectory and\, second\, to revisit the derivation of the IFR for the tota
l entropy production by considering that the fluctuation-dissipation relat
ion may or may not be valid. In the latter case\, we investigate how the n
on-Markovian feature of the dynamics alters the conventional notion of sto
chastic thermodynamics by leading to a violation of the IFR for the total
entropy production. We demonstrate that\, such a violation can be circumve
nted by formally defining a temperature functional that fulfils a general
form of fluctuation-dissipation relation. Using a perturbation method\, we
calculate the first two leading terms of the temperature functional. Our
perturbative analysis also unravels that the origin of that violation can
be tracked to a generalized form of a heat exchange between the system and
the environment. We obtain an analytical expression for the generalized h
eat function and provide a physically meaningful interpretation by introdu
cing the concepts of retarded force and retarded velocity that include the
impact of the memory of the environment.\n\nhttps://zakopane.if.uj.edu.pl
/event/17/contributions/472/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/472/
END:VEVENT
BEGIN:VEVENT
SUMMARY:"Private Truths\, Public Lies” within agent-based modeling
DTSTART;VALUE=DATE-TIME:20210928T083000Z
DTEND;VALUE=DATE-TIME:20210928T085000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-470@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Katarzyna Sznajd-Weron (Wroclaw University of Scienc
e and Technology)\nThe title of this work is inspired by the Timur Kuran
’s book entitled “Private Truths\, Public Lies. The Social Consequence
s of Preference Falsification”. During my presentation I will talk about
the idea and real-life examples of Preference Falsification (PF). Further
more\, I will propose a binary agent-based model\, which allows to describ
e PF by introducing two levels of the opinion: the public and the private
one. Finally\, I will discuss how PF can help in explaining social and po
litical dynamics.\n\nhttps://zakopane.if.uj.edu.pl/event/17/contributions/
470/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/470/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fast is hot: energetics of information erasure and the overhead to
Landauer's bound
DTSTART;VALUE=DATE-TIME:20210928T081000Z
DTEND;VALUE=DATE-TIME:20210928T083000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-468@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Salambô DAGO (Laboratoire de Physique de l'ENS de L
YON)\nInformation processing in the physical world comes with an energetic
cost: Landauer's principle states that erasing a 1-bit memory requires a
t least $k_BT_0 \\ln 2$ of energy\, with $k_BT_0$ the thermal energy of th
e surrounding bath. Practical erasures implementations require an overhead
to the Landauer's bound\, observed to scale as $k_BT_0 B/\\tau$\, with $\
\tau$ the protocol duration and $B$ close to the system relaxation time. M
ost experiments use overdamped systems\, for which minimizing the overhead
means minimizing the dissipation. Underdamped systems\, never harnessed b
efore\, thus sounds appealing to reduce this energetic cost. \nWe use as o
ne-bit memory an underdamped micro-mechanical oscillator confined in a dou
ble-well potential created by a feedback loop. The potential barrier is pr
ecisely tunable in the few $k_BT_0$ range. We measure\, within the stochas
tic thermodynamic framework\, the work and the heat of the erasure protoco
l. We demonstrate experimentally and theoretically that\, in this underdam
ped system\, the Landauer's bound is reached within a 1% uncertainty\, wit
h protocols as short as 100 ms.\nFurthermore\, we show that for such under
damped systems\, fast erasures induce a heating of the memory: the work in
flux is not instantaneously compensated by the inefficient heat transfert
to the thermostat. This temperature rise results in a kinetic energy contr
ibution superseding the viscous dissipation term. Our model covering all d
amping regimes paves the way to new optimisation strategies in information
processing\, based on the thorough understanding of the energy exchanges.
We are indeed able to quantify the overhead to the Landauer's bound with
its dependence on the system and protocol parameters\, and we identify the
physical origins of this energy cost.\n\nhttps://zakopane.if.uj.edu.pl/ev
ent/17/contributions/468/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/468/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Non-Markovianity boosting the performance of a quantum Otto engine
DTSTART;VALUE=DATE-TIME:20210928T075000Z
DTEND;VALUE=DATE-TIME:20210928T081000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-469@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Krzysztof Ptaszyński (Institute of Molecular Physic
s\, Polish Academy of Sciences\, Mariana Smoluchowskiego 17\, 60-179 Pozna
ń)\nIt is investigated whether the non-Markovianity\, i.e.\, the memory e
ffects resulting from the coupling of the system to its environment\, can
be beneficial for the performance of quantum heat engines. Specifically\,
a version of a single-qubit Otto engine is studied in which the standard t
hermalization strokes are replaced with so-called extremal thermal operati
ons\, which cannot be realized without the memory effects [1]. The perform
ance of such a device is compared with both the Markovian (memoryless) Ott
o engine and the three-stroke engine studied by Łobejko *et al.* [2]\, in
which the cycle consists of two extremal thermal operations and a single
qubit rotation. It is first demonstrated that the non-Markovian Otto engin
e can generate more work per cycle for a given efficiency than its Markovi
an counterpart\, which\, on the other hand\, exceeds the performance of th
e three-stroke engine. Secondly\, the ratio of the work fluctuations to th
e mean work is analyzed. It is shown that both the non-Markovian Otto engi
ne and the three-stroke engine produce less work fluctuations than the Mar
kovian setup (thus providing a more stable operation)\, whereas their rela
tive performance depends on the target efficiency and work-per-cycle. This
leads to the conclusion that the non-Markovian effects can improve the pe
rformance of quantum heat engines.\n\nReferences\n[1] E. A. Aguilar\, H. W
ojewódka-Ściążko\, M. Stankiewicz\, C. Perry\, P. Ćwikliński\, A. Gr
udka\, K. Horodecki\, and M. Horodecki\, arXiv:2009.03110 (2020).\n[2] M.
Łobejko\, P. Mazurek\, and M. Horodecki\, Quantum **4**\, 375 (2020).\n\n
https://zakopane.if.uj.edu.pl/event/17/contributions/469/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/469/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thermodynamic uncertainty relations for many-body systems with fas
t jump rates and large occupancies
DTSTART;VALUE=DATE-TIME:20210928T073000Z
DTEND;VALUE=DATE-TIME:20210928T075000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-467@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: ohad shpielberg (University of Haifa)\nA universal l
arge $\\mathcal{N}$ theory of nonequilibrium fluctuations emerges in the l
imit of fast jump rates and large occupancies. We use this theory to deriv
e a set of coarse grained thermodynamic uncertainty relations (TUR) -- one
of them being an activity bound. Importantly\, the activity serves as a t
ighter bound for the entropy production in 1D systems. These results are p
articularly useful in the many-body regime\, where typically a coarse grai
ned approach is required to handle the large microscopic state space. The
work is available on the arXiv https://arxiv.org/abs/2108.09979\n\nhttps:/
/zakopane.if.uj.edu.pl/event/17/contributions/467/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/467/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Critical behaviour of interacting thermodynamic machines
DTSTART;VALUE=DATE-TIME:20210928T070000Z
DTEND;VALUE=DATE-TIME:20210928T073000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-431@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Alberto Imparato (Department of Physics and Astronom
y\, Aarhus University)\nIt is known that in an equilibrium system approac
hing a critical point\, the response to a change in an external thermodyna
mic force can become significantly large.\nIn other words\, an equilibriu
m system at the verge of a second-order phase transition is highly suscept
ible to external thermodynamic forces.\n\nStarting from this premise\, in
my talk I will discuss the properties of systems of interacting thermodyna
mic machines that operate at the verge of a phase transition.\nI will focu
s on the performance of different types of out-of-equilibrium machines co
nverting heat or other forms of energy into useful work.\nSpecifically\, I
will consider: \ni) an out-of-equilibrium lattice model consisting of 2D
discrete rotators\, in contact with heath reservoirs at different tempera
tures\,\nii) an out-of-equilibrium Frenkel--Kontorova model moving over a
periodic substrate and in a position dependent temperature profile\,\niii
) a transverse field Ising model undergoing a quantum phase transition\,
and operating as a battery-charger system.\nFor each of these systems\, I
will argue that the optimal operating regime occurs when the system is dri
ven out-of-equilibrium in proximity of a phase transition.\n\nhttps://zako
pane.if.uj.edu.pl/event/17/contributions/431/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/431/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Asymptotic tails of 2D Driven Granular Gases
DTSTART;VALUE=DATE-TIME:20210927T155500Z
DTEND;VALUE=DATE-TIME:20210927T160000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-466@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Prasad V V (Cochin University of Science and Techno
logy)\nThe granular gas is a paradigm for understanding the effects of ine
lastic interactions in granular materials. Through this work\, we obtain a
nalytical results for a microscopic model for a granular gas where particl
es with two-dimensional velocities are driven homogeneously and isotropica
lly by reducing the velocities by a factor and adding a stochastic noise.
We find two universal regimes. For generic physically relevant driving\, w
e find that the tail of the velocity distribution is a Gaussian with addit
ional logarithmic corrections. Thus\, the velocity distribution decays fas
ter than the corresponding equilibrium gas. The second universal regime is
less generic and corresponds to the scenario described by kinetic theory.
Here\, the velocity distribution is shown to decays an exponential with a
dditional logarithmic corrections. The universality in the statistics is s
olely depends on the inelastic collisional interaction\, and the presence
of steady state. Therefore one would expect this to be valid for a large r
ange of system parameters and for experimental scenarios of driven granula
r systems.\n\nhttps://zakopane.if.uj.edu.pl/event/17/contributions/466/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/466/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Diffusion of nickel atoms into silver regimes in layered nanostruc
tures- molecular dynamics simulations.
DTSTART;VALUE=DATE-TIME:20210927T155000Z
DTEND;VALUE=DATE-TIME:20210927T155500Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-465@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Agnieszka Chrzanowska (Department of Physics\, Krak
ów University of Technology\, ul. Podchorążych 1\, 30-084 Kraków\, Pol
and)\nSilver and nickel composites are peculiar for many reasons. As pure
\, both of these metals exhibit fcc crystal structures\, but their lattice
constants are much different. Because in the solid state they are almos
t insoluble\, in the case of flat surfaces it may result in occurring of s
uperlattice arrangement resulting from the mistmatch of lattice constants\
, with silver atoms well separated from nickel atoms. When temperature is
raised the situation changes. If only one silver nanolayer deposited on th
e nickel layer is heated\, it disappears through the desorption mechanism
. However\, if a silver nanolayer is confined between two nickel layers\,
desorption mechanism is no longer possible. Now\, since melting temperatu
res of nickel and silver are also very different\, an interesting case t
o study occurs\, when one nanolayer is solid and the other is liquid. Taki
ng also into account that nanoparticles are already known to exhibit lower
ed temperature of melting\, one expects that this phenomenon will occur al
so in the case of nanolayers. In the presentation we will show the results
obtained from the molecular dynamics where a multilayered silver-nickel s
tructure undergoes heating and cooling. Especially interesting result has
been obtained for a structure that was very slowly cooled down from a comp
letely liquid state. One observes here nickel atoms diffusing into silver
regime and creation of the alloy nanolayer in coexistence at the same tim
e with pure nickel layers. Such an effect – possibility to change silve
r nanolayer onto silver-nickel alloy nanolayer upon confinement at increas
ed temperature has not been previously discussed. Other observed tendencie
s are also presented.\n\nhttps://zakopane.if.uj.edu.pl/event/17/contributi
ons/465/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/465/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Random Sequential Adsorption of Oriented Rectangles with Random As
pect Ratio
DTSTART;VALUE=DATE-TIME:20210927T153000Z
DTEND;VALUE=DATE-TIME:20210927T155000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-463@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Luca Petrone ()\nRandom Sequential Adsorption is a v
ery simple protocol that generates random loose packings. It takes a virtu
al particle\, randomly chooses its position and orientation\, and then che
cks if it does not overlap with any object already placed in the packing.
If so\, the virtual particle is added\, otherwise it is removed.\nTypicall
y\, the shape that is to be deposited is always the same. In this study\,
instead\, we have studied a RSA of oriented rectangles of fixed area but r
andom side length ratio.\nThe calculated packing density at saturation (0.
678689) is considerably higher than any other else RSA.\nAlso\, this value
is dependent on the random distribution that is used to select the aspect
ratio. A power-law \\begin{equation} p_f(x) = (\\alpha + 1) x^\\alpha \\e
nd{equation} was considered. The density at saturation is increasing with
$\\alpha$ and the limit $\\alpha \\to \\infty$ was estimated.\n\nhttps://z
akopane.if.uj.edu.pl/event/17/contributions/463/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/463/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Exploring 2D shape space: the hunt for the densest RSA packings
DTSTART;VALUE=DATE-TIME:20210927T151000Z
DTEND;VALUE=DATE-TIME:20210927T153000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-461@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Konrad Kozubek (Jagiellonian University)\nRandom seq
uential adsorption (RSA) of various polydisks and rounded polygons is stud
ied to determine the shape\, which forms the densest packings. Covariance
matrix adaptation evolution strategy (CMA-ES)\, an evolutionary optimizati
on algorithm is used to search for optimal shapes. We found that independe
ntly of the number of component disks\, the optimal polydisk resembles a t
riangle with rounded corners. Therefore we also explored variously paramet
rized spaces of rounded polygons using the same approach. All carried out
optimizations indicate that the shape building the densest RSA packings is
the rounded triangle for which the packing fraction is $0.600608 \\pm 0.0
00017$\, which is the highest known value so far. Properties of the triang
le's contact function can be used to illustrate why this shape is capable
of forming dense RSA packings.\n\nhttps://zakopane.if.uj.edu.pl/event/17/c
ontributions/461/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/461/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Percolation on non-planar lattices
DTSTART;VALUE=DATE-TIME:20210927T145000Z
DTEND;VALUE=DATE-TIME:20210927T151000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-462@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Robert M. Ziff (Center for the Study of Complex Syst
ems\, and Department of Chemical Engineering)\nPercolation on non-planar l
attices\, such as lattices with crossing bonds\, are generally expected to
be in the two-dimensional universality class of ordinary percolation\, an
d indeed that is the case for the leading behavior. However\, we have fou
nd that the corrections to scaling\, as characterized by the exponent Omeg
a\, are different for the non-planar system. This might imply that the us
ual corrections exponent is zero here due to some symmetry of the system.
For a non-planar system\, we consider bond percolation on the square cove
ring lattice\, which is equivalent to site percolation on the bond coverin
g lattice. We also can consider a multilayer square lattice as an example
of a non-planar system. We discuss methods to determine the threshold an
d the corrections exponent accurately.\n\nhttps://zakopane.if.uj.edu.pl/ev
ent/17/contributions/462/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/462/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Disordered Hyperuniform Particle Packings
DTSTART;VALUE=DATE-TIME:20210927T140000Z
DTEND;VALUE=DATE-TIME:20210927T143000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-429@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Salvatore Torquato (Princeton University)\nThe study
of hyperuniform states of matter is an emerging multidisciplinary field\,
influencing and linking developments across the physical sciences\, mathe
matics and biology [1\,2]. A hyperuniform many-particle system in $d$-dime
nsional Euclidean space is characterized by an anomalous suppression of la
rge-scale density fluctuations relative to those in typical disordered sys
tems\, such as liquids and amorphous solids. As such\, the hyperuniformity
concept generalizes the traditional notion of long-range order to include
not only all perfect crystals and quasicrystals\, but also exotic disord
ered states of matter. Disordered hyperuniform states have attracted great
attention across many fields over the last two decades because they can h
ave the character of crystals on large length scales but are isotropic lik
e liquids. This hybrid crystal-liquid attribute endows them with unique or
nearly optimal\, direction-independent physical properties and robustness
against defects. I will briefly review the hyperuniformity concept and th
en discuss a variety of different disordered article packings that are hyp
eruniform [1\,2\,3].\n\n1. S. Torquato and F. H. Stillinger\, "Local Densi
ty Fluctuations\, Hyperuniform Systems\, and Order Metrics\," Phys. Rev. E
\, 68\, 041113 (2003).\n\n2. S. Torquato\, "Hyperuniform States of Matter\
," Phys. Reports\, 745\, 1 (2018).\n\n3. S. Torquato\, Perspective: "Basic
Understanding of Condensed Phases of Matter via Packing Models\," J. Chem
. Phys. 149\, 020901 (2018).\n\nhttps://zakopane.if.uj.edu.pl/event/17/con
tributions/429/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/429/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Exact percolation probabilities on plane\, cylinder\, and torus: s
ite percolation on a square lattice
DTSTART;VALUE=DATE-TIME:20210927T115500Z
DTEND;VALUE=DATE-TIME:20210927T120000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-459@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Andrei Eserkepov (Astrakhan State University)\nFor s
ite percolation on a square lattice\, exact percolation probabilities on p
lane\, cylinder\, and torus has been found. Topological dynamic programmin
g was applied to improve performance. Topologically equivalent states of t
he system and their horizontal reflections were combined. In the case of a
torus and a cylinder\, the shifts of topological states were also taken i
nto account. Percolation probabilities were obtained for systems up to siz
e $L=16$ (square)\, up to $L = 17$ (cylinder)\, up to $L = 9$ (torus). Alo
ng with a finite size scaling analysis\, percolation probabilities provide
an efficient method to obtain the percolation threshold.\n\nhttps://zakop
ane.if.uj.edu.pl/event/17/contributions/459/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/459/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Network analysis of the novel "The Master and Margarita" by M. A.
Bulgakov
DTSTART;VALUE=DATE-TIME:20210927T113000Z
DTEND;VALUE=DATE-TIME:20210927T115000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-457@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Anna Danilova (Astrakhan State University)\nThe netw
ork analysis of the structure of social relations in one of the most popul
ar novels in Russian of the Soviet era by M. A. Bulgakov "The Master and M
argarita" was carried out. The structure of the novel is complex\, i.e.\,
there is novel in novel. In our study\, only relations between explicitly
present and acting characters were taken into account\; the characters men
tioned and expected connections were not taken into consideration. Based o
n the character interaction matrix\, a graph was constructed\, the vertice
s of which are the characters of the novel\, while the edges correspond to
relation between them. In our study\, only the explicit interaction of th
e characters on the stage was considered. Interaction\, i.e.\, bidirection
al action\, leads to the fact that\, in our study\, the social network is
described by an ordinary\, rather than directed graph. The largest connect
ed component of the graph consists of 153 characters.\nDegree\, betweennes
s\, closeness\, eigenvector\, assortativity coefficient were computed to c
haracterize the network.\nThe assortativity coefficient of the network und
er consideration equals to -0.177\, which indicates artificiality of the n
etwork. The structure of communities in the network was analyzed using the
Girvan—Newman algorithm. In addition to the obvious large communities
— the characters from the Gospel part of the novel\, the characters of t
he Moscow part of the novel\, the characters of the other world — the al
gorithm also revealed a more subtle structure in the Moscow part of the no
vel: communities of writers\, a hospital\, and a theater. Using the analys
is of centralities\, a group of main characters has been detected. It turn
ed out unexpectedly that in the Gospel part of the novel\, the central cha
racter is Afranius\, rather than Pontius Pilate.\n\nhttps://zakopane.if.uj
.edu.pl/event/17/contributions/457/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/457/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Relaxation of random sequential adsorption packings of discorectan
gles aligned on a line
DTSTART;VALUE=DATE-TIME:20210927T111000Z
DTEND;VALUE=DATE-TIME:20210927T113000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-458@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Nikolai Lebovka (Laboratory of Physical Chemistry of
Disperse Minerals\, F. D. Ovcharenko Institute of Biocolloidal Chemistry\
, NAS of Ukraine )\nRelaxation of packing of elongated particles (discorec
tangles) aligned on a line was studied numerically. The aspect ratio (leng
th-to-width ratio) for the discorectangles was varied within the range $\\
varepsilon \\in [1\;50]$. The initial jamming (saturated) state was produc
ed using the basic variant of the random sequential adsorption (RSA) model
with random positions and orientations of particles. The relaxation was d
one accounting for the rotational and translational diffusion motions of p
articles with their centers located on a line. Effects of aspect ratio $\
\varepsilon$ on kinetics of relaxation\, orientation order parameter and d
istribution function of the distances between nearest-neighbor discorectan
gles were analized. The transport properties of the obtained 1d systems we
re also analyzed using the diffusion of a tracer particle (random walker)
between the nearest-neighbor discorectangles. In the relaxed states the an
omalous diffusion was observed with hopping exponent $d_w>2$ dependent upo
n $\\varepsilon$.\n\nhttps://zakopane.if.uj.edu.pl/event/17/contributions/
458/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/458/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Fate of Articulation Points and Bredges in Percolation
DTSTART;VALUE=DATE-TIME:20210927T105000Z
DTEND;VALUE=DATE-TIME:20210927T111000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-456@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Reimer Kühn (King's College London)\nArticulation p
oints (APs) are *nodes* in complex networks whose removal would break the
network component on which they are located into two or more disconnected
components\, while bredges (bridge-edges) are *edges* whose removal woul
d break the network component on which they are located into two component
s. APs and bredges are thus crucial for the integrity and functionality of
complex networks. In this talk we investigate the statistics of articulat
ion points and bredges in complex networks in which bonds are randomly rem
oved in a percolation process. Because of the heterogeneous nature of comp
lex networks\, the probability of a node to be an articulation point\, or
of an edge to be a bredge will not be homogeneous across the network. We t
herefore analyze full distributions of articulation point probabilities as
well as bredge probabilities\, using a message-passing approach to the pr
oblem\, both for large single instances\, and for networks in the configu
ration model class in the thermodynamic limit. We reveal\, and are able to
rationalize\, a significant amount of structure in the evolution of artic
ulation point and bredge probabilities in response to random bond removal.
We argue that our results could be exploited in a variety of applications
\, including approaches to network dismantling or to vaccination and islan
ding strategies to prevent the spread of epidemics or of blackouts in proc
ess networks. Further details in Phys.Rev. E **103**\, 042302 (2021).\n\nh
ttps://zakopane.if.uj.edu.pl/event/17/contributions/456/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/456/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Investigation of ring and star-shaped polymers in confined geometr
ies
DTSTART;VALUE=DATE-TIME:20210927T103000Z
DTEND;VALUE=DATE-TIME:20210927T105000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-455@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Paweł Karbowniczek (Faculty of Materials Engineerin
g and Physics\, Cracow University of Technology\, Poland)\nWe investigate
the dimensionless layer monomer density profiles of a dilute solution of i
deal ring and star polymers confined in a slit geometry of two parallel wa
lls. We analyzed cases with both attractive and repulsive walls as well as
one attractive and one repulsive wall. We also performed molecular dynami
cs simulations of a dilute solution of ring and star-shaped polymers. Anal
ytical and numerical results are compared with the results for linear poly
mers. The obtained results indicate that ring and star polymers can be use
d for the production of new functional materials\, because properties of t
hese solutions depend on the topology of polymers and the nature of surfac
es that confine them.\n\nReferences:\nJ. Hałun\, P. Karbowniczek\, P. Kut
erba\, and Z. Danel\, Investigation of Ring\nand Star Polymers in Confined
Geometries: Theory and Simulations\, Entropy\n23\, 242 (2021)\n\nhttps://
zakopane.if.uj.edu.pl/event/17/contributions/455/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/455/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nano-wire based transparent electrodes: a mean-field approach
DTSTART;VALUE=DATE-TIME:20210927T100000Z
DTEND;VALUE=DATE-TIME:20210927T103000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-428@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Yuri Tarasevich (Astrakhan State University)\nTransp
arent electrodes are important components of modern optoelectronic devices
such as touch-screens\, heaters\, and solar cells. One of the most widely
used kinds of transparent electrode consists of a transparent\, poorly co
nductive film containing randomly distributed highly conductive fillers su
ch as nanowires\, nanotubes\, nanorods\, and nanorings.\nUsing a mean-fiel
d approach\, we evaluate the electrical conductivity of two-dimensional sy
stems with rodlike and ringlike conductive fillers (wires). The concentrat
ion of fillers is supposed to be significantly higher than the percolation
threshold. Instead of considering a random resistor network produced by a
ll conductive fillers\, we study one filler in the mean field generated by
all other conductive fillers. Three limiting cases are of our specific in
terest\, i.e.\, wire-resistance dominated regime\, junction-resistance dom
inated regime\, and equal wire and junction resistances.\nWe compare the e
lectrical conductivity obtained within our mean-field approximation with t
he results of direct computations of the underlying random resistor networ
ks as well with the analytical evaluations of other authors [1\,2].\n1. Ku
mar\, N. S. Vidhyadhiraja\, and G. U. Kulkarni\, Current distribution in c
onducting nanowire networks\, J. Appl. Phys. 122\, 045101 (2017). \n2. C.
Forró\, L. Demkó\, S. Weydert\, J. Vöoröos\, and K. Tybrandt\, Predict
ive model for the electrical transport within nanowire networks\, ACS Nano
12\, 11080–11087 (2018).\n\nhttps://zakopane.if.uj.edu.pl/event/17/cont
ributions/428/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/428/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Experimental realization of diffusion with stochastic resetting
DTSTART;VALUE=DATE-TIME:20210927T084000Z
DTEND;VALUE=DATE-TIME:20210927T090000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-453@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Ofir Tal-Friedman (Tel Aviv University)\nStochastic
resetting is prevalent in natural and man-made systems\, giving rise to a
long series of nonequilibrium phenomena. Diffusion with stochastic resetti
ng serves as a paradigmatic model to study these phenomena but lacked a we
ll-controlled platform by which it can be studied experimentally. Here\, w
e report the experimental realization of colloid diffusion and resetting v
ia holographic optical tweezers. We provide the first experimental corrobo
ration of theoretical results and measure the energetic cost of resetting
in steady-state and first-passage scenarios. In both cases\, we show that
this cost cannot be made arbitrarily small because of fundamental constrai
nts on realistic resetting protocols.\n\nhttps://zakopane.if.uj.edu.pl/eve
nt/17/contributions/453/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/453/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Backbone diffusion and first-passage dynamics in a comb structure
with confining branches under stochastic resetting
DTSTART;VALUE=DATE-TIME:20210927T082000Z
DTEND;VALUE=DATE-TIME:20210927T084000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-454@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: rk singh (RKMVERI- Belur Math\, Howrah\, India)\nWe
study the diffusive motion of a test particle in a two-dimensional comb st
ructure consisting of a main backbone channel with continuously distribute
d side branches\, in the presence of stochastic Markovian resetting to the
initial position of the particle. We assume that the motion along the inf
initely long branches is biased by a confining potential. The crossover to
the steady state is quantified in terms of a large deviation function\, w
hich is derived for the first time for comb structures in present paper. W
e show that the relaxation region is demarcated by a nonlinear "light-cone
" beyond which the system is evolving in time. We also investigate the fir
st-passage times along the backbone and calculate the mean first-passage t
ime and optimal resetting rate.\n\nhttps://zakopane.if.uj.edu.pl/event/17/
contributions/454/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/454/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Extremal statistics for stochastic resetting systems
DTSTART;VALUE=DATE-TIME:20210927T080000Z
DTEND;VALUE=DATE-TIME:20210927T082000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-452@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Prashant Singh (ICTS-TIFR)\nWhile averages and typic
al fluctuations often play a major role in understanding the behavior of a
nonequilibrium system\, this nonetheless is not always true. Rare events
and large fluctuations are also pivotal when a thorough analysis of the sy
stem is being done. In this context\, the statistics of extreme fluctuatio
ns in contrast to the average plays an important role\, as has been discus
sed in fields ranging from statistical and mathematical physics to climate
\, finance\, and ecology. Herein\, we study extreme value statistics (EVS)
of stochastic resetting systems\, which have recently gained significant
interest due to its ubiquitous and enriching applications in physics\, che
mistry\, queuing theory\, search processes\, and computer science. We pres
ent a detailed analysis for the finite and large time statistics of extrem
als (maximum and arg-maximum\, i.e.\, the time when the maximum is reached
) of the spatial displacement in such system. In particular\, we derive an
exact renewal formula that relates the joint distribution of maximum and
arg-maximum of the reset process to the statistical measures of the underl
ying process. Benchmarking our results for the maximum of a reset trajecto
ry that pertain to the Gumbel class for large sample size\, we show that t
he arg-maximum density attains a uniform distribution independent of the u
nderlying process at a large observation time. The results are augmented w
ith a wide spectrum of Markov and non-Markov stochastic processes under re
setting\, namely\, simple diffusion\, diffusion with drift\, Ornstein-Uhle
nbeck process\, and random acceleration process in one dimension. Rigorous
results are presented for the first two setups\, while the latter two are
supported with heuristic and numerical analysis.\n\nhttps://zakopane.if.u
j.edu.pl/event/17/contributions/452/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/452/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Resetting dynamics and random search in heterogeneous media
DTSTART;VALUE=DATE-TIME:20210927T073000Z
DTEND;VALUE=DATE-TIME:20210927T080000Z
DTSTAMP;VALUE=DATE-TIME:20220517T002603Z
UID:indico-contribution-17-432@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Trifce Sandev (Macedonian Academy of Sciences and Ar
ts\, Skopje\, Macedonia)\nTheoretical investigation of diffusion in hetero
geneous media (such as materials with impurities\, defects\, fractal and r
andom heterogeneous structures and combs\, crowded environments\, etc.) cu
rrently receives a considerable interest. The corresponding heterogeneous
diffusion process often becomes anomalous due to the geometric constraints
\, random potential effects or variations of the local diffusion coefficie
nts in the heterogeneous media. We will present results for the first pass
age and first hitting times for different random search processes in such
complex environment. Introduction of a stochastic resetting in the corresp
onding heterogeneous diffusion process leads to a non-trivial transition o
f the system to a nonequilibrium stationary state. We will quantify the tr
ansition to the stationary state in terms of a large deviation function\,
which defines the separation of the region in which relaxation to the none
quilibrium stationary state has been achieved from the region in which the
system is still in a transient state. We will also show that the heteroge
neous diffusion process might be closely related to the turbulent diffusio
n represented by the inhomogeneous advection-diffusion equation\, and the
(generalized) geometric Brownian motion used to model stock prices.\n\nhtt
ps://zakopane.if.uj.edu.pl/event/17/contributions/432/
LOCATION:Online
URL:https://zakopane.if.uj.edu.pl/event/17/contributions/432/
END:VEVENT
END:VCALENDAR