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Thermalization of a particle with dissipative collisions

arXiv:cond-mat/9810072

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.

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