Weakly nonlinear theory of grain boundary motion in patterns with crystalline symmetry

Denis Boyer, Jorge Viñals

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

Abstract

The motion of grain boundaries in hexagonal patterns from an order parameter equation was analyzed. The standard Ginzburg-Landau equation was extended for slowly varying amplitude to incorporate nonanalytic corrections. As in crystalline phases, defect motion was found to be opposed by short range forces with periodicity and amplitude that strongly depend on the misorientation angle between domains.

Original languageEnglish (US)
Article number055501
Pages (from-to)055501/1-055501/4
JournalPhysical review letters
Volume89
Issue number5
DOIs
StatePublished - Jul 29 2002

Bibliographical note

Funding Information:
We are indebted to François Drolet for useful discussions. This research has been supported by the ?>U.S. Department of Energy, Contract No. DE-FG05-95ER14566.

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