Weakly nonlinear analysis of two dimensional sheared granular flow

Published 10 Mar 2011 in cond-mat.soft | (1103.1936v2)

Abstract: Weakly nonlinear analysis of a two dimensional sheared granular flow is carried out under the Lees-Edwards boundary condition. We derive the time dependent Ginzburg-Landau (TDGL) equation of a disturbance amplitude starting from a set of granular hydrodynamic equations and discuss the bifurcation of the steady amplitude in the hydrodynamic limit.

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