Perturbation expansion in phase-ordering kinetics. II.n-vector model

Abstract

The perturbation theory expansion presented earlier to describe the phase-ordering kinetics in the case of a nonconserved scalar order parameter is generalized to the case of the n-vector model. At lowest order in this expansion, as in the scalar case, one obtains the theory due to Ohta, Jasnow, and Kawasaki (OJK). The second-order corrections for the nonequilibrium exponents are worked out explicitly in d dimensions and as a function of the number of components n of the order parameter. In the formulation developed here the corrections to the OJK results are found to go to zero in the large n and d limits. Indeed, the large-d convergence is exponential.