Universality of temperature distribution in granular gas mixtures with a steep particle size distribution
1 Faculty of Physics, M. V. Lomonosov Moscow State University - Moscow, 119991, Russia
2 Department of Mathematics, University of Leicester - Leicester LE1 7RH, UK
Received: 13 January 2014
Accepted: 19 March 2014
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 . We demonstrate that for steep size distributions of particles the granular temperatures obey a universal power-law distribution, , where the exponent α does not depend on a particular form of the size distribution, the number of species and inelasticity of the grains. Moreover, α is a universal constant for a HCS and depends piecewise linearly on γ for heated gases. The predictions of our scaling theory agree well with the numerical results.
PACS: 45.70.-n – Granular systems / 47.45.Ab – Kinetic theory of gases
© EPLA, 2014