Entropy of stationary nonequilibrium measures of boundary driven symmetric simple exclusion processes

Cedric Bernardin; C. Landim

Entropy of stationary nonequilibrium measures of boundary driven symmetric simple exclusion processes: Entropy of nonequilibrium stationary measures

Cedric Bernardin ¹ C. Landim ²

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

2 LMRS - Laboratoire de Mathématiques Raphaël Salem

Abstract : We examine the entropy of stationary nonequilibrium measures of boundary driven symmetric simple exclusion processes. In contrast with the Gibbs--Shannon entropy \cite{B, DLS2}, the entropy of nonequilibrium stationary states differs from the entropy of local equilibrium states.

Keywords : boundary driven symmetric exclusion processes Nonequilibrium stationary states Large deviations quasi-potential boundary driven symmetric exclusion processes.

Document type :

Journal articles

Domain :

Physics [physics] / Condensed Matter [cond-mat] / Statistical Mechanics [cond-mat.stat-mech]

Mathematics [math] / Probability [math.PR]

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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00589673
Contributor : Cedric Bernardin <>
Submitted on : Friday, April 29, 2011 - 10:28:35 PM
Last modification on : Thursday, February 7, 2019 - 5:46:40 PM
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Entropy of stationary nonequilibrium measures of boundary driven symmetric simple exclusion processes: Entropy of nonequilibrium stationary measures

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Entropy of stationary nonequilibrium measures of boundary driven symmetric simple exclusion processes: Entropy of nonequilibrium stationary measures

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164

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