- 10-148 V. Jaksic, C.-A. Pillet, L. Rey-Bellet
- Entropic Fluctuations in Statistical Mechanics I. Classical Dynamical Systems
Sep 16, 10
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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.