Nontrivial Velocity Distributions in Inelastic Gases

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dc.creatorKrapivsky, P. L.
dc.creatorBen-Naim, E.
dc.date2001-11-02
dc.date2001-11-06
dc.date.accessioned2026-07-07T02:43:23Z
dc.date.available2026-07-07T02:43:23Z
dc.descriptionWe 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.
dc.description4 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0111044
dc.identifierhttp://arxiv.org/abs/cond-mat/0111044
dc.identifierJ. Phys. A 35, L147 (2002)
dc.identifierdoi:10.1088/0305-4470/35/11/103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18475
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.subjectCellular Automata and Lattice Gases
dc.subjectExactly Solvable and Integrable Systems
dc.titleNontrivial Velocity Distributions in Inelastic Gases
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