Regular and Chaotic Dynamics

, Volume 14, Issue 4–5, pp 535–540 | Cite as

Kinetics of collisionless gas: Equalization of temperature, growth of the coarse-grained entropy and the Gibbs paradox

  • V. V. Kozlov


The Poincaré model for dynamics of a collisionless gas in a rectangular parallelepiped with mirror walls is considered. The question on smoothing of the density and the temperature of this gas and conditions for the monotone growth of the coarse-grained entropy are discussed. All these effects provide a new insight of the classical paradox of mixing of gases.

Key words

collisionless gas coarse-grained entropy Gibbs paradox 

MSC2000 numbers

37A60 60K35 70H05 82B30 40A99 


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Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  1. 1.V.A. Steklov Mathematical Institute of RASMoscowRussia

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