Effective statistical physics of Anosov systems

Details Effective statistical physics of Anosov systems Effective statistical physics of Anosov systems

2010-09-11

arxiv.org/abs/1009.2127v2

Physics

Condensed Matter

Statistical Mechanics

38 pages, 17 figures. Substantially more details in sections 4 and 6; new and revised figures also added. Typos and minor erro

Scientific paper

We present evidence indicating that Anosov systems can be endowed with a unique physically reasonable effective temperature. Results for the two paradigmatic Anosov systems (i.e., the cat map and the geodesic flow on a surface of constant negative curvature) are used to justify a proposal for extending Ruelle's thermodynamical formalism into a comprehensive theory of statistical physics for nonequilibrium steady states satisfying the Gallavotti-Cohen chaotic hypothesis.

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