Publication Date
2011
Journal or Book Title
Nonlinearity
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. In addition to 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.
Pages
699-+
Volume
24
Issue
3
Recommended Citation
Jakšić, V; Pillet, C-A; and Rey-Bellet, L, "Entropic fluctuations in statistical mechanics: I. Classical dynamical systems" (2011). Nonlinearity. 1173.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1173
Comments
This is the pre-published version harvested from ArXiv. The published version is located at http://iopscience.iop.org/0951-7715/24/3/003/