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KIAM Preprint № 50, Moscow, 2005
Authors: Pustyl'nikov L. D.
Nonequilibrium gas and generalized billiards
The description of a nonequilibrium gas based on the notion of generalized billiards is proposed. Generalized billiards can be considered both in the framework of Newtonian mechanics and of the relativity theory. In the Newtonian case, for a generalized billiard inside a ball and the corresponding nonequilibrium gas the invariant measure is equivalent to the phase volume, and the Gibbs entropy are constructed. It is proved that the Gibbs entropy is constant and in the periodic case absolute values of particles velocities are bounded.
Publication language: russian
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Pustyl'nikov L. D.,  KIAM RAS