Domain growth and scaling in the two-dimensional Langevin model

Abstract

A numerical simulation of the Langevin model for spinodal decomposition is carried out in two dimensions. The pair correlation function is found to exhibit dynamical scaling to a good first approximation. It is found that the domain growth law asymptotically approaches $t^{1/3}$, in agreement with previous results for the kinetic Ising model with conserved order parameter. The Langevin, cell dynamics, and spin exchange kinetic Ising models are shown to belong to the same dynamical universality class for the range of domain sizes studied here.