Phase ordering dynamics of a vector order parameter

Abstract

Mazenko's theory of phase ordering dynamics is generalized to an n-component nonconserved vector order parameter. The scaling functions for the equal-time and two-time correlation functions are calculated, as well as the exponent characterizing the decay of autocorrelations. The equal-time correlation function is numerically quite close to that recently calculated by Bray and Puri (1991), and by Toyoki (1991), and exhibits the same power-law tail in its Fourier transform, the time-dependent structure factor.