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Regular version of the site

Article

Temperature distribution in driven granular mixtures does not depend on mechanism of energy dissipation

Scientific Reports. 2020. Vol. 10. No. 693. P. 1-15.
Bodrova A., Osinsky A., Brilliantov N. V.

We study analytically and numerically the distribution of granular temperatures in granular mixtures for
different dissipation mechanisms of inelastic inter-particle collisions. Both driven and force-free systems
are analyzed. We demonstrate that the simplified model of a constant restitution coefficient fails to
predict even qualitatively a granular temperature distribution in a homogeneous cooling state. At the
same time we reveal for driven systems a stunning result – the distribution of temperatures in granular
mixtures is universal. That is, it does not depend on a particular dissipation mechanism of inter-particles
collisions, provided the size distributions of particles is steep enough. The results of the analytic theory
are compared with simulation results obtained by the direct simulation Monte Carlo (DSMC). The
agreement between the theory and simulations is perfect. The reported results may have important
consequences for fundamental science as well as for numerous application, e.g. for the experimental
modelling in a lab of natural processes.