Universality of temperature distribution in granular gas mixtures with a steep particle size distribution

Anna Bodrova, Denis Levchenko, Nikolay Brilliantov

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10 Citations (Scopus)

Abstract

The distribution of granular temperatures in granular gas mixtures is investigated analytically and numerically. We analyze space uniform systems in a homogeneous cooling state (HCS) and under a uniform heating with a mass-dependent heating rate Gk ~ m. k. We demonstrate that for steep size distributions of particles the granular temperatures obey a universal power-law distribution, Tk ~ mak , where the exponent a does not depend on a particular form of the size distribution, the number of species and inelasticity of the grains. Moreover, a is a universal constant for a HCS and depends piecewise linearly on . for heated gases. The predictions of our scaling theory agree well with the numerical results.

Original languageEnglish
Article number14001
JournalEurophysics Letters
Volume106
Issue number1
DOIs
Publication statusPublished - Apr 2014
Externally publishedYes

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