ASYMPTOTIC STRUCTURE FACTOR AND POWER-LAW TAILS FOR PHASE ORDERING IN SYSTEMS WITH CONTINUOUS SYMMETRY

We compute the asymptotic structure factor S(k)(t) [= L(t)(d)g(kL(t)), where L(t) is a time-dependent characteristic length scale and d is the dimensionality] for a system with a nonconserved n-component vector order parameter quenched into the ordered phase. The well-known Ohta-Jasnow-Kawasaki-Yalabik-Gunton result is recovered for n = 1. The scaling function g(x) has the large-x behavior g(x) approximately x-(d + n), which includes Porod's law (for n = 1) as a special case.