Velocity Tails for Inelastic Maxwell Models

Details Velocity Tails for Inelastic Maxwell Models Velocity Tails for Inelastic Maxwell Models

2001-11-06

arxiv.org/abs/cond-mat/0111093v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures

Scientific paper

10.1209/epl/i2002-00622-0

We study the velocity distribution function for inelastic Maxwell models, characterized by a Boltzmann equation with constant collision rate, independent of the energy of the colliding particles. By means of a nonlinear analysis of the Boltzmann equation, we find that the velocity distribution function decays algebraically for large velocities, with exponents that are analytically calculated.

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