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Article Dans Une Revue Journal of Statistical Physics Année : 2010

Relaxation of a Free-Molecular Gas to Equilibrium Caused by Interaction with Vessel Wall

Résumé

A free-molecular gas contained in a static vessel with a uniform temperature is considered. The approach of the velocity distribution function of the gas molecules from a given initial distribution to the uniform equilibrium state at rest is investigated numerically under the diffuse reflection boundary condition. This relaxation is caused by the interaction of gas molecules with the vessel wall. It is shown that, for a spherical vessel, the velocity distribution function approaches the final uniform equilibrium distribution in such a way that their difference decreases in proportion to an inverse power of time. This is slower than the known result for a rarefied gas with molecular collisions.

Dates et versions

hal-00767550 , version 1 (20-12-2012)

Identifiants

Citer

Tetsuro Tsuji, Kazuo Aoki, François Golse. Relaxation of a Free-Molecular Gas to Equilibrium Caused by Interaction with Vessel Wall. Journal of Statistical Physics, 2010, 140 (3), pp.518-543. ⟨10.1007/s10955-010-9997-5⟩. ⟨hal-00767550⟩
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