Perturbation Expansion in Phase-Ordering Kinetics: II. N-vector Model

Details Perturbation Expansion in Phase-Ordering Kinetics: II. N-vector Model Perturbation Expansion in Phase-Ordering Kinetics: II. N-vector Model

1999-06-28

arxiv.org/abs/cond-mat/9906414v1

Physics

Condensed Matter

Statistical Mechanics

20 pages, no figures

Scientific paper

10.1103/PhysRevE.61.1088

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.

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