English

From Global to Local Fluctuation Theorems

Statistical Mechanics 2015-05-26 v2 Chaotic Dynamics

Abstract

The Gallavotti-Cohen fluctuation theorem suggests a general symmetry in the fluctuations of the entropy production, a basic concept in the theory of irreversible processes, based on results in the theory of strongly chaotic maps. We study this symmetry for some standard models of nonequilibrium steady states. We give a general strategy to derive a 'local' fluctuation theorem exploiting the Gibbsian features of the stationary space-time distribution. This is applied to spin flip processes and to the asymmetric exclusion process.

Keywords

Cite

@article{arxiv.cond-mat/0106639,
  title  = {From Global to Local Fluctuation Theorems},
  author = {Christian Maes and Frank Redig and Michel Verschuere},
  journal= {arXiv preprint arXiv:cond-mat/0106639},
  year   = {2015}
}

Comments

minor changes, to appear in the Moscow Mathematical Journal