Phase separation under shear in two-dimensional binary fluids

We use lattice Boltzmann simulations to study the effect of shear on the ph ase ordering of a two-dimensional binary fluid. The shear is imposed by gen eralizing the lattice Boltzmann algorithm to include Lees-Edwards boundary conditions. We show how the interplay between the ordering effects of the s pinodal decomposition and the disordering tendencies of the shear, which de pends on the shear rate and the fluid viscosity, can lead to a state of dyn amic equilibrium where domains are continually broken up and reformed.