Kinetics of collisionless gas: equalization of temperature, growth of the coarse-grained entropy and the Gibbs paradox
Russian journal of nonlinear dynamics, Tome 5 (2009) no. 3, pp. 377-383
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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.
Keywords:
collisionless gas, coarse-grained entropy, Gibbs paradox.
@article{ND_2009_5_3_a4,
author = {V. V. Kozlov},
title = {Kinetics of collisionless gas: equalization of temperature, growth of the coarse-grained entropy and the {Gibbs} paradox},
journal = {Russian journal of nonlinear dynamics},
pages = {377--383},
publisher = {mathdoc},
volume = {5},
number = {3},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ND_2009_5_3_a4/}
}
TY - JOUR AU - V. V. Kozlov TI - Kinetics of collisionless gas: equalization of temperature, growth of the coarse-grained entropy and the Gibbs paradox JO - Russian journal of nonlinear dynamics PY - 2009 SP - 377 EP - 383 VL - 5 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ND_2009_5_3_a4/ LA - ru ID - ND_2009_5_3_a4 ER -
%0 Journal Article %A V. V. Kozlov %T Kinetics of collisionless gas: equalization of temperature, growth of the coarse-grained entropy and the Gibbs paradox %J Russian journal of nonlinear dynamics %D 2009 %P 377-383 %V 5 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/ND_2009_5_3_a4/ %G ru %F ND_2009_5_3_a4
V. V. Kozlov. Kinetics of collisionless gas: equalization of temperature, growth of the coarse-grained entropy and the Gibbs paradox. Russian journal of nonlinear dynamics, Tome 5 (2009) no. 3, pp. 377-383. http://geodesic.mathdoc.fr/item/ND_2009_5_3_a4/