The approach to steady state in microemulsions under shear flow

摘要

We present an analitical study of the dynamical process of the approach tosteady state for a driven diffusive system represented by the microemulsionphase of a ternary mixture. The external applied field is given by a planeCouette shear flow and the problem is studied within the framework of atime-dependent Ginzburg-Landau model. A Fokker-Planck equation for theprobability distribution of the concentration fluctuations is developed in aself-consistent one-loop approximation and solved exactly, giving an analyticalexpression for the dynamic correlation functions of the system. For comparisonto experimental work, we also show grey-scale plots of the scattering functionat different times during the dynamical process for two different shear rates.