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

N. P. Rapapa
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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.

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N. P. Rapapa. 1999-06-25. The Effect of Shear on Phase-Ordering Dynamics with Order-Parameter-Dependent Mobility: The Large-n Limit. https://doi.org/10.1103/physreve.61.247

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