Volume 48, Number 1, October I 1999
|Page(s)||36 - 42|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 September 2002|
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
Accepted: 23 July 1999
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.
PACS: 45.70.Mg – Granular flow; mixing, segregation and stratification / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.) / 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems
© EDP Sciences, 1999
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