Studio della misura di Sinai-Ruelle-Bowen in un sistema semplice

2010/02/08 by Marcello Porta, Porta, Marcello
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1002.1698

115 pages, 15 figures. Master thesis, 2007, in Italian. The results of the thesis are presented in arXiv:0909.2932

arxiv created 2010/02/08 · arxiv updated 2010/02/26

Abstract

In this thesis we discuss some applications of the theory of Anosov systems to nonequilibrium statistical mechanics. In particular, we perform a perturbative check of the Gallavotti-Cohen fluctuation relation for a simple Anosov system; we find that the lack of differentiability of the time reversal operator implies a violation of the Gallavotti-Cohen fluctuation relation.

Cited by

• Fluctuation theorem, nonlinear response, and the regularity of time reversal symmetry

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