Dynamical Ensembles in Nonequilibrium Statistical Mechanics

1994/10/30 by G. Gallavotti, Giovanni Gallavotti, E. G. D. Cohen · 6 citations
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #Statistical Mechanics and Entropy #chao-dyn #nlin.CD

paper · pdf · doi:10.1103/physrevlett.74.2694

published as Physical Review Letters, 74, 2694--2697, 1995 · Postscript, 12 pages, 132K, 1 uncompressed file Keywords: chaos, nonequilibrium ensembles, Markov partitions, Ruelle principle, Lyapunov exponents, gas

arxiv created 1994/10/30 · openalex publication_date 1995/04/03 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/31

Abstract

Ruelle's principle for turbulence leading to what is usually called the Sinai-Ruelle-Bowen (SRB) distribution is applied to the statistical mechanics of many particle systems in nonequilibrium stationary states. A specific prediction, obtained without the need to construct explicitly the SRB itself, is shown to be in agreement with a recent computer experiment on a strongly sheared fluid. This presents the first test of the principle on a many particle system far from equilibrium. A possible application to fluid mechanics is also discussed.

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