KINETICS OF ORDERING FOR CORRELATED INITIAL CONDITIONS

Nonequilibrium domain growth in a system with a nonconserved order parameter is considered for power-law correlated initial conditions, [phi(r)phi(0)] approximately r-(d-sigma), appropriate to, e.g., a quench to the ordered phase from the critical point (sigma = 2-eta). The long-range correlations are shown to be relevant (in the renormalization-group sense), and lead to a new scaling function for the structure factor, provided that sigma exceeds a critical value. In this regime (which includes sigma = 2-eta) the autocorrelation function A (t) = [phi(r,t)phi(r,0)] has the asymptotic behavior A (t) approximately t-(d-sigma)/4.