Effects of Hydrodynamics on Phase Transition Kinetics in Two-Dimensional Binary Fluids

Abstract

The effects of hydrodynamics on domain growth and scaling in a two-dimensional binary fluid are studied. Using a Langevin model for the binary fluid, we find a narrow range for the value of the fluid–order-parameter coupling below which domains grow asymptotically as $t^{1/3}$ (Lifshitz-Slyozov) and above which they grow as $t^{0.46\pm .02}$ and $t^{0.72\pm .02}$ for off-critical and critical quenches, respectively. The small $x$ behavior of the scaled structure function varies as a function of this coupling.