HAL: hal-00518208, version 1

DOI: 10.1088/0951-7715/24/3/003

Detailed view

Export this paper BibTeX - EndNote - TEI - RefWorks -

Nonlinearity 24, 3 (2011) 699--763

Entropic Fluctuations in Statistical Mechanics I. Classical Dynamical Systems

Vojkan Jaksic 1, Claude-Alain Pillet 2, Luc Rey-Bellet 3

(2011-01-18)

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.

1:	Department of Mathematics and Statistics [Mac Gill]
	Mac Gill University
2:	Centre de Physique Théorique (CPT)
	CNRS : FR2291 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Université Sud Toulon Var
3:	Department of Mathematics and Statistics
	University of Massachusetts Amherst

Subject

:

Physics/Mathematical Physics Mathematics/Probability Mathematics/Operator Algebras Mathematics/Mathematical Physics Physics/Physics/Classical Physics

Keyword(s): nonequilibrium statistical mechanics – fluctuation theorems – entropy production – linear response theory

hal-00518208, version 1

http://hal.archives-ouvertes.fr/hal-00518208

oai:hal.archives-ouvertes.fr:hal-00518208

From: Claude-Alain Pillet <>

Submitted on: Wednesday, 19 January 2011 02:52:34

Updated on: Thursday, 20 January 2011 15:57:45