Pattern formation in a system with spontaneously-broken rotational symmetry

Hidetsugu Sakaguchi

    Research output: Contribution to journal › Article

    4 Citations (Scopus)

    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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    Landau-Ginzburg equations
    symmetry
    vortices
    defects
    isotropy
    turbulence

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy (miscellaneous)

    Cite this

    Pattern formation in a system with spontaneously-broken rotational symmetry. / Sakaguchi, Hidetsugu.

    In: Progress of Theoretical Physics, Vol. 99, No. 1, 01.01.1998, p. 33-43.

    Research output: Contribution to journal › Article

    Sakaguchi, H 1998, 'Pattern formation in a system with spontaneously-broken rotational symmetry', Progress of Theoretical Physics, vol. 99, no. 1, pp. 33-43. https://doi.org/10.1143/PTP.99.33
    Sakaguchi H. Pattern formation in a system with spontaneously-broken rotational symmetry. Progress of Theoretical Physics. 1998 Jan 1;99(1):33-43. https://doi.org/10.1143/PTP.99.33
    Sakaguchi, Hidetsugu. / Pattern formation in a system with spontaneously-broken rotational symmetry. In: Progress of Theoretical Physics. 1998 ; Vol. 99, No. 1. pp. 33-43.
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