Billiards, invariant measures, and equilibrium thermodynamics. II

Details Billiards, invariant measures, and equilibrium thermodynamics. II Billiards, invariant measures, and equilibrium thermodynamics. II

2005-03-09

arxiv.org/abs/nlin/0503018v1

Regular and Chaotic Dynamics, 2004 Volume 9 Number 2

Nonlinear Sciences

Chaotic Dynamics

10 pages

Scientific paper

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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