English

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 nn-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 dd dimensions and as a function of the number of components nn of the order parameter. In the formulation developed here the corrections to the OJK results are found to go to zero in the large nn and dd limits. Indeed, the large-dd convergence is exponential.

Keywords

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

R2 v1 2026-07-22T12:12:55.253Z