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SUMMARY:Fluctuation Theorems for Systems without Stationary PDF: KPZ case
DTSTART;VALUE=DATE-TIME:20190919T080000Z
DTEND;VALUE=DATE-TIME:20190919T082000Z
DTSTAMP;VALUE=DATE-TIME:20210513T112521Z
UID:indico-contribution-54-331@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Horacio S. Wio (Institute for Cross-Disciplinary Phy
sics and Complex Systems)\nWe analyze a couple of simple systems\, without
stationary probability distribution\, in order to show how to proceed fo
r obtaining detailed as well as integral fluctuation theorems in such a ki
nd of systems. To reach such a goal\, we exploit a path integral approach
that adequately fits to this kind of study. This methodology\, together wi
th the variational approach\, are also exploited to analize fluctuation th
eorems in the paradigmatic KPZ equation\, as well as to determine a Large
Deviation Function. This lead us to conjecture that a higher critical dime
nsion does not exists for the KPZ system.\n\nhttps://zakopane.if.uj.edu.pl
/event/9/contributions/331/
LOCATION:Kraków
URL:https://zakopane.if.uj.edu.pl/event/9/contributions/331/
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BEGIN:VEVENT
SUMMARY:Active Interface Equations
DTSTART;VALUE=DATE-TIME:20190919T073000Z
DTEND;VALUE=DATE-TIME:20190919T080000Z
DTSTAMP;VALUE=DATE-TIME:20210513T112521Z
UID:indico-contribution-54-322@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Martin Evans (University of Edinburgh)\nIn this work
we consider the role of active inclusions in a growing interface\, for ex
ample membrane binding proteins which catalyse growth in the plasma membra
ne of eukaryotic cells. The interface is thus rendered active and is desc
ribed by two coupled fields: the height field of the interface and the den
sity of the inclusions. The equations generalise to active interface grow
th the Kardar Parisi Zhang equation which descibes nonequilibrium growth a
nd also represents many other systems driven out of out of equilibrium. I
n our model inclusions gravitate towards minima of the height field and th
en catalyse growth which generates interface waves. This leads to complex
kinematic waves and pattern formation and the proteins are able to surf th
e waves they create. The interface width displays a novel superposition o
f scaling and sustained oscillations distinct from KPZ physics.\n\nF Cagne
tta\, M. R. Evans and D Marenduzzo Phys. Rev. Lett. 120\, 258001 (2018)\
nF Cagnetta\, M. R. Evans and D Marenduzzo Phys. Rev. E 99\, 042124 (201
9)\n\nhttps://zakopane.if.uj.edu.pl/event/9/contributions/322/
LOCATION:Kraków
URL:https://zakopane.if.uj.edu.pl/event/9/contributions/322/
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BEGIN:VEVENT
SUMMARY:Single particle diffusion in periodic potentials
DTSTART;VALUE=DATE-TIME:20190919T084000Z
DTEND;VALUE=DATE-TIME:20190919T090000Z
DTSTAMP;VALUE=DATE-TIME:20210513T112521Z
UID:indico-contribution-54-284@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Oded Farago (Ben Gurion University)\nWe calculate th
e time-dependent probability distribution function (PDF) of an overdamped
Brownian particle moving in a one-dimensional periodic potential energy $U
(x)$. The PDF is found by solving the corresponding Smoluchowski diffusion
equation. We derive the solution for any periodic even function $U(x)$ an
d demonstrate that it is asymptotically (at large times $t$) correct up to
terms decaying faster than $1/t^{3/2}$. As part of the derivation\, we al
so recover the Lifson-Jackson formula for the effective diffusion coeffici
ent of the dynamics. The derived solution exhibits agreement with Langevin
dynamics simulations. The approach is generalized for inhomogeneous syste
ms where\, in additional to the periodic potential\, the particle also exp
eriences a periodic diffusion coefficient. The application of a one-dimens
ional (Fick-Jacobs) diffusion equation for describing Brownian dynamics in
periodic corrugated channels is also discussed.\n\nhttps://zakopane.if.uj
.edu.pl/event/9/contributions/284/
LOCATION:Kraków
URL:https://zakopane.if.uj.edu.pl/event/9/contributions/284/
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SUMMARY:Competition between cancer and immune system cells in an inhomogen
eous system: A thermostatted kinetic theory approach
DTSTART;VALUE=DATE-TIME:20190919T082000Z
DTEND;VALUE=DATE-TIME:20190919T084000Z
DTSTAMP;VALUE=DATE-TIME:20210513T112521Z
UID:indico-contribution-54-283@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Annie Lemarchand (Sorbonne Université\, CNRS)\nThe
treatment of cancer by boosting the immune system is a recent and promisin
g therapeutic strategy. During interactions\, the immune system cells lear
n to recognize cancer cells. Analogously\, the cancer cells can develop th
e ability to blend into the surrounding tissue and mislead the immune syst
em cells.\n\nI will present a model of cell interactions in the framework
of thermostatted kinetic theory [1\,2]. Cell activation\, learning process
es\, and memory loss due to cell death are reproduced by regulating the ce
ll activity introduced in the model. By analogy with energy dissipation in
a mechanical system\, the control of the activity fluctuations is achieve
d by a so-called thermostat. Proliferation of cancer cells is reproduced b
y autocatalytic processes. For each cell type\, I will write down the ther
mostatted kinetic equations for the distribution functions of position\, v
elocity\, and activity and explain how the direct simulation Monte Carlo (
DSMC) method has been adapted to solve them.\n\nThe numbers and activities
of cancer cells and immune system cells are followed for different initia
l distributions of cells. The effect of the thermostat on cancer evolution
will be compared to unexplained clinical observations. I will show that t
he model is able to reproduce an apparent elimination of the tumor precedi
ng a long period of equilibrium\, eventually followed by the proliferation
of the cancer cells\, according to a process identified as "the three E's
" of immunoediting\, for "Elimination\, Equilibrium and Escape" [3\,4].\n\
n1. C. Bianca and A. Lemarchand\, Commun. Nonlinear Sci. Numer. Simul. 20\
, 14 (2015).\n2. C. Bianca\, C. Dogbe\, and A. Lemarchand\, Acta Appl. Mat
h. 189\, 1 (2015).\n3. C. Bianca and A. Lemarchand\, J. Chem. Phys. 145\,
154108 (2016).\n4. L. Masurel\, C. Bianca\, and A. Lemarchand\, Physica A
506\, 462 (2018).\n\nhttps://zakopane.if.uj.edu.pl/event/9/contributions/2
83/
LOCATION:Kraków
URL:https://zakopane.if.uj.edu.pl/event/9/contributions/283/
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