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

Cedric Bernardin (1) , C. Landim (2)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées
2 LMRS - Laboratoire de Mathématiques Raphaël Salem

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

Domains: Physics [physics]; Condensed Matter [cond-mat]; Statistical Mechanics [cond-mat.stat-mech]; Mathematics [math]; Probability [math.PR]

Cedric Bernardin, C. Landim. Entropy of stationary nonequilibrium measures of boundary driven symmetric simple exclusion processes: Entropy of nonequilibrium stationary measures. Journal of Statistical Physics, 2010, 141 (6), pp.1014-1038. ⟨10.1007/s10955-010-0082-x⟩. ⟨ensl-00589673⟩