Numerical study of the growth kinetics for a Langevin equation

Abstract

We study the growth kinetics of a time-dependent Ginzburg-Landau model appropriate for the dynamics of a simple order-disorder transition by direct numerical solution of the associated Langevin equation. Our results are consistent with the Lifshitz-Cahn-Allen theory of curvature-driven dynamics. Our calculations indicate that such methods can be used to analyze more sophisticated models, and that they are at least competitive with Monte Carlo simulations.