Velocity Tails for Inelastic Maxwell Models
arXiv:cond-mat/0111093 · doi:10.1209/epl/i2002-00622-0
Abstract
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.
4 pages, 2 figures
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