Gallavotti-Cohen fluctuation relation in infinite dimension
1 : Laboratoire d'Analyse, Géométrie et Modélisation
(AGM)
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Website
CNRS : UMR8088, Université de Cergy Pontoise
2 : McGill University
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Website
3 : Laboratoire de Mathématiques de Versailles
(LM-Versailles)
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Website
CNRS : UMR8100, Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)
4 : Centre de Physique Théorique
(CPT)
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Website
Université de Toulon, Aix Marseille Université, CNRS : UMR7332
The Gallavotti-Cohen fluctuation relation is a general asymptotic result about the probability of rare events under a given deterministic or stochastic dynamics. Roughly speaking, it says that, in the stationary regime, the probability of observing a negative value for the time average of the entropy production is exponentially small compared to that for the opposite value. Due to contributions of Kurchan, Lebowitz-Spohn, Maes and many others, Gallavotti-Cohen fluctuation relation is rather well understood for many finite-dimensional stochastic systems. In this talk, we shall describe some recent results concerning the fluctuation relation in the inifnite-dimensional case and discuss an example of its failure.
| Subject : | : | oral |
| Topics | : | Statistical mechanics and computation of large deviation rate functions |
| PDF version | : |  PDF version |
