A 2-D asymmetric exclusion model for granular flows

Details A 2-D asymmetric exclusion model for granular flows A 2-D asymmetric exclusion model for granular flows

1999-03-23

arxiv.org/abs/cond-mat/9903341v2

Physics

Condensed Matter

Statistical Mechanics

13 pages, 5 figures; typos added, one definition changed

Scientific paper

10.1209/epl/i1999-00110-7

A 2-D version of the asymmetric exclusion model for granular sheared flows is presented. The velocity profile exhibits two qualitatively different behaviors, dependent on control parameters. For low friction, the velocity profile follows an exponential decay while for large friction the profile is more accurately represented by a Gaussian law. The phase transition occurring between these two behavior is identified by the appearance of correlations in the cluster size distribution. Finally, a mean--field theory gives qualitative and quantitative good agreement with the numerical results.

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