Spinodal decomposition of a binary mixture in an uniform shear flow

The spinodal decomposition of binary mixtures in uniform shear flow is studied in the context of the time-dependent Ginzburg-Landau equation, approximated at one-loop order. We show that the structure factor obeys a generalized dynamical scaling with different growth exponents alpha(x) = 5/4 and alpha(y) = 1/4 in the flow and in the shear directions, respectively. The excess viscosity Delta eta after reaching a maximum relaxes to zero as gamma(-2)t(-3/2), gamma being the shear rate. Delta eta and other observables exhibit log-time periodic oscillations which can be interpreted as due to a growth mechanism where stretching and breakup of domains cyclically occur.