2010/09/11 by Steven Huntsman, Huntsman, Steven · 1 voice
Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #math-ph #math.DS #math.MP
paper · pdf · doi:10.48550/arxiv.1009.2127
38 pages, 17 figures. Substantially more details in sections 4 and 6; new and revised figures also added. Typos and minor errors (esp. in section 6) corrected along with minor notational changes. MATLAB code for calculations in section 16 also included as inline comment in TeX source now. The thrust of the paper is unaffected
arxiv published 2010/09/11 · arxiv created 2010/11/29 · arxiv updated 2010/11/29
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.