English

Velocity Tails for Inelastic Maxwell Models

Statistical Mechanics 2009-11-07 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/0111093,
  title  = {Velocity Tails for Inelastic Maxwell Models},
  author = {Matthieu H. Ernst and Ricardo Brito},
  journal= {arXiv preprint arXiv:cond-mat/0111093},
  year   = {2009}
}

Comments

4 pages, 2 figures

R2 v1 2026-07-22T10:29:56.244Z