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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 is taken. Characteristic length scales in directions parallel and perpendicular to the flow increase as (t^5/lnt) ^1/4 and (t/lnt) ^1/4, respectively. The structure factor in the shear-flow plane exhibits two parallel ridges as observed in experiment.
Rapapa et al. (Mon,) studied this question.