Europhys. Lett, 48 (1), pp. 36-42 (1999)
A 2D asymmetric exclusion model for granular flows
The James Franck Institute, The University of Chicago
5640 South Ellis Avenue, Chicago, Illinois 60637, USA
Argonne National Laboratory - 9700 South Cass Avenue, Argonne, IL 60439, USA
(received 12 April 1999; accepted in final form 23 July 1999)
PACS. 45.70Mg - Granular flow; mixing,
segregation and stratification.
PACS. 05.10Gg - Stochastic analysis methods (Fokker-Planck, Langevin, etc.).
PACS. 64.60Cn - Order-disorder transformations; statistical mechanics of model systems.
A 2D 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 behaviors 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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