| Issue |
EPL
Volume 106, Number 1, April 2014
|
|
|---|---|---|
| Article Number | 14001 | |
| Number of page(s) | 6 | |
| Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/106/14001 | |
| Published online | 01 April 2014 | |
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
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