Power-law velocity distributions in granular gases

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dc.creatorBen-Naim, E.
dc.creatorMachta, B.
dc.creatorMachta, J.
dc.date2005-04-07
dc.date.accessioned2026-07-07T03:04:38Z
dc.date.available2026-07-07T03:04:38Z
dc.descriptionWe report a general class of steady and transient states of granular gases. We find that the kinetic theory of inelastic gases admits stationary solutions with a power-law velocity distribution, f(v) ~ v^(-sigma). The exponent sigma is found analytically and depends on the spatial dimension, the degree of inelasticity, and the homogeneity degree of the collision rate. Driven steady-states, with the same power-law tail and a cut-off can be maintained by injecting energy at a large velocity scale, which then cascades to smaller velocities where it is dissipated. Associated with these steady-states are freely cooling time-dependent states for which the cut-off decreases and the velocity distribution is self-similar.
dc.description11 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0504187
dc.identifierhttp://arxiv.org/abs/cond-mat/0504187
dc.identifierPhys. Rev. E 72, 021302 (2005)
dc.identifierdoi:10.1103/PhysRevE.72.021302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/26160
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.subjectChaotic Dynamics
dc.titlePower-law velocity distributions in granular gases
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