Phase-ordering dynamics of binary mixtures with field-dependent mobility in shear flow

The effect of shear flow on the phase-ordering dynamics of a binary mixture with field-dependent mobility is investigated. The problem is addressed in the context of the time-dependent Ginzburg-Landau equation with an externa l velocity term, studied in self-consistent approximation. Assuming a scali ng ansatz for the structure factor, the asymptotic behavior of the observab les in the scaling regime can be analytically calculated. All the observabl es show log-time periodic oscillations which we interpret as due to a cycli cal mechanism of stretching and break-up of domains. These oscillations are damped as consequence of the vanishing of the mobility in the bulk phase.