The Effect of Shear on Phase-Ordering Dynamics with Order-Parameter-Dependent Mobility: The Large-n Limit

Abstract

The effect of shear on the ordering-kinetics of a conserved order-parameter system with O(n) symmetry and order-parameter-dependent mobility Γ({\vecϕ}) \propto (1- {\vecϕ} ^2/n)^αis studied analytically within the large-n limit. In the late stage, the structure factor becomes anisotropic and exhibits multiscaling behavior with characteristic length scales (t^{2α+5}/\ln t)^{1/2(α+2)} in the flow direction and (t/\ln t)^{1/2(α+2)} in directions perpendicular to the flow. As in the α=0 case, the structure factor in the shear-flow plane has two parallel ridges.