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

TL;DR

This paper analytically investigates how shear influences phase-ordering dynamics in systems with order-parameter-dependent mobility, revealing anisotropic structure factors and multiscaling behavior in the large-n limit.

Contribution

It provides a novel analytical study of shear effects on conserved order-parameter systems with variable mobility in the large-n limit, highlighting anisotropic multiscaling.

Findings

Structure factor becomes anisotropic under shear.

Multiscaling behavior with distinct length scales in flow and perpendicular directions.

Presence of two parallel ridges in the shear-flow plane structure factor.

Abstract

The effect of shear on the ordering-kinetics of a conserved order-parameter system with O(n) symmetry and order-parameter-dependent mobility \Gamma({\vec\phi}) \propto (1- {\vec\phi} ^2/n)^\alpha is 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^{2\alpha+5}/\ln t)^{1/2(\alpha+2)} in the flow direction and (t/\ln t)^{1/2(\alpha+2)} in directions perpendicular to the flow. As in the \alpha=0 case, the structure factor in the shear-flow plane has two parallel ridges.