PHASE ORDERING DYNAMICS OF A VECTOR ORDER PARAMETER

Mazenko's theory of phase ordering dynamics is generalized to an n-component non-conserved 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, and by Toyoki, and exhibits the same power-law tail in its Fourier transform, the time-dependent structure factor.