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Dynamics of an unbounded interface between ordered phases.

P L Krapivsky·S Redner·J Tailleur
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Abstract

We investigate the evolution of a single unbounded interface between ordered phases in two-dimensional Ising ferromagnets that are endowed with single-spin-flip zero-temperature Glauber dynamics. We examine specifically the cases where the interface initially has either one or two corners. In both examples, the interface evolves to a limiting self-similar form. We apply the continuum time-dependent Ginzburg-Landau equation and a microscopic approach to calculate the interface shape. For the single corner system, we also discuss a correspondence between the interface and the Young diagram that represents the partition of the integers.

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AlgorithmsModels, StatisticalNormal DistributionPhysical PhenomenaPhysicsSystems AnalysisTemperatureJournal ArticleResearch Support, Non-U.S. Gov'tResearch Support, U.S. Gov't, Non-P.H.S.

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P L Krapivsky, S Redner, J Tailleur. 2004-02-27. Dynamics of an unbounded interface between ordered phases.. https://doi.org/10.1103/physreve.69.026125

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