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Thermalization of a particle with dissipative collisions

1998/10/07 by Philippe Martin, Ph. A. Martin, Martin, Ph. A. +2
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Particle Dynamics in Fluid Flows #Phase Equilibria and Thermodynamics #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/9810072

5 pages, no figures, submitted to Phys. Rev. Lett

arxiv created 1998/10/07 · openalex publication_date 1998/10/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

One considers the motion of a test particle in an homogeneous fluid in equilibrium at temperature T, undergoing dissipative collisions with the fluid particles. It is shown that the corresponding linear Boltzmann equation still posseses a stationary Maxwellian velocity distribution, with an effective temperature smaller than T. This effective temperature is explicitly given in terms of the restitution parameter and the masses.

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