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Dynamics of Phase Separation under Shear: A Soluble Model

N. P. Rapapa, A. J. Bray

cond-mat.stat-mecharXiv:cond-mat/9904396

Abstract

The dynamics of phase separation for a binary fluid subjected to a uniform shear are solved exactly for a model in which the order parameter is generalized to an n-component vector and the large-n limit taken. Characteristic length scales in directions parallel and perpendicular to the flow increase as (t5/ t)1/4 and (t/ t)1/4 respectively. The structure factor in the shear-flow plane exhibits two parallel ridges as observed in experiment.

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