Perturbation Expansion in Phase-Ordering Kinetics: I. Scalar Order Parameter

Details Perturbation Expansion in Phase-Ordering Kinetics: I. Scalar Order Parameter Perturbation Expansion in Phase-Ordering Kinetics: I. Scalar Order Parameter

1998-03-02

arxiv.org/abs/cond-mat/9803029v1

Physics

Condensed Matter

Statistical Mechanics

26 pages, LaTex

Scientific paper

10.1103/PhysRevE.58.1543

A consistent perturbation theory expansion is presented for phase-ordering kinetics in the case of a nonconserved scalar order parameter. At zeroth order in this expansion one obtains the theory due to Ohta, Jasnow and Kawasaki (OJK). At the next nontrivial order in the expansion, worked out in d dimensions, one has small corrections to the OJK result for the nonequilibrium exponent $\lambda$ and the introduction of a new exponent $\nu$ governing the algebraic component of the decay of the order parameter scaling function at large scaled distances.

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