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Mean field theory for a driven granular gas of frictional particles

Author

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  • Cafiero, Raffaele
  • Luding, Stefan

Abstract

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 rn, a maximum tangential restitution coefficient rtm, and a Coulomb friction coefficient μ. The parameters can be tuned to explore a wide range of physical situations. In particular, the model contains the frequently used μ→∞ 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 (rn≈1), we obtain a good agreement between mean field and simulations for μ=0.5 and rtm=0.4, but for much smaller values of rn the agreement is less good. We discuss the reasons of this discrepancy and possible refinements of our computational scheme.

Suggested Citation

  • Cafiero, Raffaele & Luding, Stefan, 2000. "Mean field theory for a driven granular gas of frictional particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 280(1), pages 142-147.
    • Handle: RePEc:eee:phsmap:v:280:y:2000:i:1:p:142-147
    DOI: 10.1016/S0378-4371(99)00630-5
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