Billiards, Invariant Measures, and Equilibrium Thermodynamics
V.V. Kozlov
TL;DR
This paper explores the justification of the Gibbs canonical distribution for systems with elastic impacts, focusing on invariant measures related to system energy in thermodynamics.
Contribution
It provides new insights into the role of invariant measures with energy-dependent densities in the context of elastic impact systems.
Findings
Analysis of invariant measures with energy-dependent densities
Discussion on the justification of Gibbs distribution in impact systems
Insights into thermodynamic equilibrium for elastic impacts
Abstract
The questions of justification of the Gibbs canonical distribution for systems with elastic impacts are discussed. A special attention is paid to the description of probability measures with densities depending on the system energy.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Statistical Mechanics and Entropy · Theoretical and Computational Physics