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

Denis Boyer; Jorge Viñals

doi:10.1103/PhysRevLett.89.055501

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

Denis Boyer, Jorge Viñals

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

31 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 language	English (US)
Article number	055501
Pages (from-to)	055501/1-055501/4
Journal	Physical review letters
Volume	89
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevLett.89.055501
State	Published - 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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10.1103/PhysRevLett.89.055501

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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.",

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

Abstract

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