Chevron patterns and defect lattices in an anisotropic model for electroconvection

Hidetsugu Sakaguchi, Akira Matsuda

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    Abstract

    Chevron patterns and defect lattices are unique patterns found in the electrohydrodynamic convection of nematic liquid crystals. We study numerically the stability and bifurcations of the chevron patterns and the limit-cycle oscillation of defect lattices using a two-dimensional anisotropic model equation. Simplified one dimensional models are derived by truncating Fourier modes from the two-dimensional model to qualitatively understand the chevron patterns and the defect lattices. The pattern formation and the dynamical behaviors in the one-dimensional models are compared with the numerical simulations of the two-dimensional model.

    Original languageEnglish
    Pages (from-to)1-8
    Number of pages8
    JournalPhysica D: Nonlinear Phenomena
    Volume238
    Issue number1
    DOIs
    Publication statusPublished - Jan 1 2009

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    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Mathematical Physics
    • Condensed Matter Physics
    • Applied Mathematics

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