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UID:05ad2434a68a1b6be425a9bee21cf2f9
CATEGORIES:Mathematical Physics Seminar
CREATED:20220110T132047
SUMMARY:Informatic and Thermodynamic Entropy Production in Active Systems
LOCATION:Zoom
DESCRIPTION:Abstract: For a near-equilibrium system connected to a heat bath, there is 
 a fundamental relationship between the steady-state entropy production rate
  (EPR) and the log of the ratio of probabilities of forward and time revers
 ed trajectories. I will illustrate this first in the context of a single pa
 rticle, and then explain how the result generalizes, in principle, to coars
 e-grained models of active matter, described by field theories. In practice
 , however, these theories often address systems extremely FAR from equilibr
 ium, such as schools of fish or herds of wildebeest, for which the connecti
 on between macroscopic dynamics and microscopic heat flow is tenuous (at be
 st). \nIn these cases we can nonetheless calculate an informatic counterpar
 t of EPR that depends only on the coarse-grained dynamics and turns out to 
 be a very useful quantifier of macroscopic irreversibility. In other situat
 ions, the same coarse-grained models are used to describe processes that ar
 e relatively microscopic and not so far from equilibrium, such as phase sep
 aration within a biological cell. Here a connection to heat flow should rem
 ain intact. I will show how to identify it by embedding the coarse-grained 
 model into a larger model with explicit chemical reactions and heat flows, 
 such that the whole system is governed by linear irreversible thermodynamic
 s. All the active terms in the order parameter dynamics then become off-dia
 gonal elements of an Onsager matrix whose symmetry determines the remaining
  chemical couplings and thus the full heat production.\n
X-ALT-DESC;FMTTYPE=text/html:<p>Abstract: For a near-equilibrium system connected to a heat bath, there 
 is a fundamental relationship between the steady-state entropy production r
 ate (EPR) and the log of the ratio of probabilities of forward and time rev
 ersed trajectories. I will illustrate this first in the context of a single
  particle, and then explain how the result generalizes, in principle, to co
 arse-grained models of active matter, described by field theories. In pract
 ice, however, these theories often address systems extremely FAR from equil
 ibrium, such as schools of fish or herds of wildebeest, for which the conne
 ction between macroscopic dynamics and microscopic heat flow is tenuous (at
  best). <br />In these cases we can nonetheless calculate an informatic cou
 nterpart of EPR that depends only on the coarse-grained dynamics and turns 
 out to be a very useful quantifier of macroscopic irreversibility. In other
  situations, the same coarse-grained models are used to describe processes 
 that are relatively microscopic and not so far from equilibrium, such as ph
 ase separation within a biological cell. Here a connection to heat flow sho
 uld remain intact. I will show how to identify it by embedding the coarse-g
 rained model into a larger model with explicit chemical reactions and heat 
 flows, such that the whole system is governed by linear irreversible thermo
 dynamics. All the active terms in the order parameter dynamics then become 
 off-diagonal elements of an Onsager matrix whose symmetry determines the re
 maining chemical couplings and thus the full heat production.</p>
CONTACT:Michael Cates - University of Cambridge
DTSTAMP:20260828T104809
DTSTART;TZID=America/New_York:20220126T104500
DTEND;TZID=America/New_York:20220126T114500
SEQUENCE:0
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