Nontrivial Velocity Distributions in Inelastic Gases

Details Nontrivial Velocity Distributions in Inelastic Gases Nontrivial Velocity Distributions in Inelastic Gases

2001-11-02

arxiv.org/abs/cond-mat/0111044v2

J. Phys. A 35, L147 (2002)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure

Scientific paper

10.1088/0305-4470/35/11/103

We study freely evolving and forced inelastic gases using the Boltzmann equation. We consider uniform collision rates and obtain analytical results valid for arbitrary spatial dimension d and arbitrary dissipation coefficient epsilon. In the freely evolving case, we find that the velocity distribution decays algebraically, P(v,t) ~ v^{-sigma} for sufficiently large velocities. We derive the exponent sigma(d,epsilon), which exhibits nontrivial dependence on both d and epsilon, exactly. In the forced case, the velocity distribution approaches a steady-state with a Gaussian large velocity tail.

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