pith. sign in

arxiv: cond-mat/9906414 · v1 · submitted 1999-06-28 · ❄️ cond-mat.stat-mech · cond-mat.soft

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

classification ❄️ cond-mat.stat-mech cond-mat.soft
keywords caseexpansionordercorrectionskineticsmodelparameterperturbation
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.