Perturbative Corrections to the Ohta-Jasnow-Kawasaki Theory of Phase-Ordering Dynamics

TL;DR

This paper develops a perturbative approach to improve the Ohta-Jasnow-Kawasaki theory of phase-ordering dynamics by including non-linear corrections, providing more accurate descriptions in high-dimensional systems.

Contribution

It introduces a perturbation expansion that re-incorporates non-linear terms into the OJK theory, specifically calculating the first order correction in large dimensions.

Findings

First order correction to pair correlation function of order 1/d^2

Perturbative method extends the OJK theory accuracy

Applicable in high-dimensional phase-ordering systems

Abstract

A perturbation expansion is considered about the Ohta-Jasnow-Kawasaki theory of phase-ordering dynamics; the non-linear terms neglected in the OJK calculation are reinstated and treated as a perturbation to the linearised equation. The first order correction term to the pair correlation function is calculated in the large-d limit and found to be of order 1/(d^2).