Entropic Fluctuations in Statistical Mechanics I. Classical Dynamical Systems
Abstract
Within the abstract framework of dynamical system theory we describe a general approach to the Transient (or Evans-Searles) and Steady State (or Gallavotti-Cohen) Fluctuation Theorems of non-equilibrium statistical mechanics. Our main objective is to display the minimal, model independent mathematical structure at work behind fluctuation theorems. Besides its conceptual simplicity, another advantage of our approach is its natural extension to quantum statistical mechanics which will be presented in a companion paper. We shall discuss several examples including thermostated systems, open Hamiltonian systems, chaotic homeomorphisms of compact metric spaces and Anosov diffeomorphisms.
Cite
@article{arxiv.1009.3248,
title = {Entropic Fluctuations in Statistical Mechanics I. Classical Dynamical Systems},
author = {Vojkan Jakšić and Claude-Alain Pillet and Luc Rey-Bellet},
journal= {arXiv preprint arXiv:1009.3248},
year = {2011}
}
Comments
72 pages, revised version 12/10/2010, to be published in Nonlinearity