Mean field theory for a driven granular gas of frictional particles

Raffaele Cafiero, Stefan Luding

Research output: Contribution to journalConference articleAcademicpeer-review

9 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)142-147
Number of pages6
JournalPhysica A: Statistical Mechanics and its Applications
Volume280
Issue number1
DOIs
Publication statusPublished - 15 May 2000
Externally publishedYes
EventInternational Conference on Statistical Mechanics and Strongly Correlated Systems 1999 - Rome, Italy
Duration: 27 Sep 199929 Sep 1999

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