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Billiards, invariant measures, and equilibrium thermodynamics. II

2005/03/09 by V. V. Kozlov
Physics and Astronomy · #nlin.CD #nlin.SI #physics.class-ph

paper · pdf

published as Regular and Chaotic Dynamics, 2004 Volume 9 Number 2 · 10 pages

arxiv created 2005/03/09 · arxiv updated 2009/12/01

Abstract

The kinetics of collisionless continuous medium is studied in a bounded region on a curved manifold. We have assumed that in statistical equilibrium, the probability distribution density depends only on the total energy. It is shown that in this case, all the fundamental relations for a multi-dimensional ideal gas in thermal equilibrium hold true.

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