Pattern formation in a system with spontaneously-broken rotational symmetry

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    Abstract

    We propose a coupled equation consisting of the Ginzburg-Landau equation and the Swift-Hohenberg equation as a model of pattern-forming systems with spontaneously broken isotropy. Transitions to defect turbulence are investigated in the case that an external force is applied. Some intermediate states such as zigzag patterns, skewed-varicose patterns and oscillating zigzag patterns are found when the external force is changed. The Ginzburg-Landau equation has a vortex as a topological defect. Spiral patterns appear for the Swift-Hohenberg equation around a vortex of the Ginzburg-Landau equation.

    Original languageEnglish
    Pages (from-to)33-43
    Number of pages11
    JournalProgress of Theoretical Physics
    Volume99
    Issue number1
    DOIs
    Publication statusPublished - Jan 1 1998

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    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy (miscellaneous)

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