Studio della misura di Sinai-Ruelle-Bowen in un sistema semplice
Marcello Porta
TL;DR
This paper explores the application of Anosov system theory to nonequilibrium statistical mechanics, specifically testing the Gallavotti-Cohen fluctuation relation and discovering that non-differentiability of the time reversal operator causes its violation.
Contribution
It provides a perturbative analysis of the Gallavotti-Cohen fluctuation relation in a simple Anosov system, highlighting the impact of non-differentiability on fluctuation symmetry.
Findings
Violation of the fluctuation relation due to non-differentiability
Perturbative validation of theoretical predictions
Insights into the mathematical structure of nonequilibrium systems
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.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Statistical Mechanics and Entropy · Quantum Mechanics and Applications