Domain wall dynamics in ginzburg-landau-type equations with conservative quantities

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Abstract

In the Ginzburg-Landau equation, there are domain walls connecting two metastable states. The dynamics of domain walls has been intensively studied, but there remain still unsolved but crucial problems even for a single domain. We study the domain wall dynamics in three different Ginzburg-Landau-type equations satisfying conservation laws. In a modified ø4 model satisfying the law of energy conservation and the Lorentz invariance, the motion of a domain wall is accelerated and the velocity approaches its maximum. In a one-dimensional model of eutectic growth, the order parameter is conserved and a domain wall connecting a metastable uniform state and a spatially periodic pattern appears. We try to find a selection rule for the wavelength of a spatially periodic pattern. In a model equation for martensitic transformation, a domain wall connecting a uniform metastable state and a zigzag structure appears which propagates at a high velocity.

Original languageEnglish
Article number064006
Journaljournal of the physical society of japan
Volume83
Issue number6
DOIs
Publication statusPublished - Jun 15 2014

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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