Dynamics of crossover phenomenon in phase-separating systems

Abstract

A new systematic theory for the dynamics of phase separation of quenched binary systems in a metastable state is presented. Not only the kinetic equation for the single-droplet size distribution function but also the linear equation with the source term for the dynamic structure function are derived from a unifying point of view. Three characteristic stages with two crossovers in time exponents are shown to exist after the nucleation stage. The dynamical scaling behavior and the time exponents are thus explored explicitly.