Perturbation Expansion in Phase-Ordering Kinetics: II. N-vector Model
Statistical Mechanics
2009-10-31 v1 Soft Condensed Matter
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 -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 dimensions and as a function of the number of components of the order parameter. In the formulation developed here the corrections to the OJK results are found to go to zero in the large and limits. Indeed, the large- convergence is exponential.
Cite
@article{arxiv.cond-mat/9906414,
title = {Perturbation Expansion in Phase-Ordering Kinetics: II. N-vector Model},
author = {Gene F. Mazenko},
journal= {arXiv preprint arXiv:cond-mat/9906414},
year = {2009}
}
Comments
20 pages, no figures