Dynamical Ensembles in Nonequilibrium Statistical Mechanics

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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Postscript, 12 pages, 132K, 1 uncompressed file Keywords: chaos, nonequilibrium ensembles, Markov partitions, Ruelle principle

Scientific paper

10.1103/PhysRevLett.74.2694

Ruelle's principle for turbulence leading to what is usually called the Sinai-Ruelle-Bowen distribution (SRB) 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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