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Thermalization of a particle with dissipative collisions

Ph. A. Martin, J. Piasecki

cond-mat.stat-mecharXiv: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.

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