What mathematical billiards teach us about statistical physics?

We survey applications of the theory of hyperbolic (and to a lesser extent non hyperbolic) billiards to some fundamental problems of statistical physics and their mathematically rigorous derivations in the framework of classical Hamiltonian systems.

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Bibliographic Details
Main Authors Bálint, Péter, Gilbert, Thomas, Szász, Domokos, Tóth, Imre Péter
Format Journal Article
LanguageEnglish
Published 14.09.2020
Subjects
Mathematics - Dynamical Systems
Physics - Chaotic Dynamics
Physics - Statistical Mechanics
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Summary:We survey applications of the theory of hyperbolic (and to a lesser extent non hyperbolic) billiards to some fundamental problems of statistical physics and their mathematically rigorous derivations in the framework of classical Hamiltonian systems.
DOI:10.48550/arxiv.2009.06284