# Ordering kinetics of defect structures

Source: [Ordering kinetics of defect structures](<https://www.sota2.com/research/paper/68fa1e967a2b558e293235a9>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T15:21:59.528Z

Authors: Gene F. Mazenko, Robert A. Wickham

Published: 1997-04-30T19:13:21.000Z

## Abstract

We show how the continuity equations expressing conservation of topological point or string defect charge can be used to determine the order-parameter correlation function for the phase-ordering kinetics of the O(n) model in the special case where the order parameter is constrained to be near a defect core. In this regime we find a self-consistent solution by assuming the order parameter is Gaussian. The resulting linear equation for the order-parameter correlation function has as its solution the Ohta-Jasnow-Kawasaki form.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9704250>)

[PDF](<https://arxiv.org/pdf/cond-mat/9704250.pdf>)