Effective statistical physics of Anosov systems
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2010
- DOI:
- 10.48550/arXiv.1009.2127
- arXiv:
- arXiv:1009.2127
- Bibcode:
- 2010arXiv1009.2127H
- Keywords:
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- Condensed Matter - Statistical Mechanics;
- Mathematical Physics;
- Mathematics - Dynamical Systems
- E-Print:
- 38 pages, 17 figures. Substantially more details in sections 4 and 6