Late stages of spinodal decomposition in a three-dimensional model system

Abstract

We present results from a numerical study of the Cahn-Hilliard model for spinodal decomposition in a three-dimensional system. Details of the numerical integration method and the late-time field configurations are discussed. We find that the late-time behavior of the system is well described in terms of scaling with a characteristic length, R(t). The data for both the pair-correlation function and the structure function show scaling behavior at sufficiently late times. The time dependence of R(t) is analyzed extensively and found to be consistent with a modified Lifshitz-Slyozov law; i.e., R(t)=c+${\mathrm{dt}}^{1/3}$.