Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-11-29
Physica A 280/1-2, 142-147 (May 2000)
Physics
Condensed Matter
Statistical Mechanics
6 pages, 3 figures (10 *.eps files), elsart style (macro included), in Proceedings of the International Conference "Statistica
Scientific paper
10.1016/S0378-4371(99)00630-5
We propose a mean field (MF) theory for a homogeneously driven granular gas of inelastic particles with Coulomb friction. The model contains three parameters, a normal restitution coefficient $r_n$, a maximum tangential restitution coefficient $r_t^m$, and a Coulomb friction coefficient $\mu$. The parameters can be tuned to explore a wide range of physical situations. In particular, the model contains the frequently used $\mu \to \infty$ limit as a special case. The MF theory is compared with the numerical simulations of a randomly driven monolayer of spheres for a wide range of parameter values. If the system is far away from the clustering instability ($r_n \approx 1$), we obtain a good agreement between mean field and simulations for $\mu=0.5$ and $r_t^m=0.4$, but for much smaller values of $r_n$ the agreement is less good. We discuss the reasons of this discrepancy and possible refinements of our computational scheme.
Cafiero Raffaele
Luding Stefan
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