A Simple Self-Consistent Method in the Theory of Spinodal Decomposition

Abstract

A kinetic model of the spherical spin system is proposed and is applied to the problem of the spinodal decomposition in the quenched mixture. The time-dependence of the structure function can be exactly calculated in a self-consistent manner, which serves as a late stage approximation for the mode-couplings in the spin-conserved TDGL model. The well-known sharp peak appears at temperatures below the transition point and it shifts to the small wave-number region. The peak position obeys the weak power law in time. The classical spinodal line is not found so far as the transient behaviour of the structure function is concerned.