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Nontrivial Velocity Distributions in Inelastic Gases | | P. L. Krapivsky
; E. Ben-Naim
; | | Date: |
3 Nov 2001 | | Journal: | J. Phys. A 35, L147 (2002) DOI: 10.1088/0305-4470/35/11/103 | | Subject: | Statistical Mechanics; Soft Condensed Matter; Exactly Solvable and Integrable Systems; Cellular Automata and Lattice Gases | cond-mat.stat-mech cond-mat.soft nlin.CG nlin.SI | | Abstract: | 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. | | Source: | arXiv, cond-mat/0111044 | | Services: | Forum | Review | PDF | Favorites | |
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