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Geometric models of statistical physics: billiard in a symmetric phase space

Sergey V. Naydenov, Vladimir Yanovsky

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Abstract

The billiard problem of statistical physics is considered in a new geometric approach with a symmetric phase space. The structure and topological features of typical billiard phase portrait are defined. The connection between geometric, dynamic and statistic properties of smooth billiard is established.

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The billiard problem of statistical physics is considered in a new geometric approach with a symmetric phase space. The structure and topological features of typical billiard phase portrait are defined. The connection between geometric, dynamic and statistic properties of smooth billiard is established.

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Available abstract

The billiard problem of statistical physics is considered in a new geometric approach with a symmetric phase space. The structure and topological features of typical billiard phase portrait are defined. The connection between geometric, dynamic and statistic properties of smooth billiard is established.

Key concepts: Dynamical billiards, Phase space, Mathematics, Statistical physics, Chaotic, Classical mechanics, Curvilinear coordinates, Integrable system

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