Analysis of ring patterns in SmC* liquid crystals

E.J. Wigham

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    It has been seen experimentally that ring patterns occur when planar aligned samples of SmC* are subjected to a rotating in-plane electric field [4712]. We shall model this problem mathematically by approximating the ring patterns and considering a circular domain embedded within a rectangular sample. The ring patterns will be modelled by travelling wave solutions. We shall then investigate the stability of these travelling wave solutions via a linearised perturbation, a Hardy-type inequality and an isoperimetric minimisation problem. This allows a calculation of the lowest eigenvalue which we use to determine the response time of perturbations to the travelling wave solution.
    Original languageEnglish
    Pages (from-to)955-969
    Number of pages14
    JournalMolecular Crystals and Liquid Crystals
    Volume436
    DOIs
    Publication statusPublished - 2005

    Keywords

    • ring patterns
    • smectic C liquid crystals
    • stability
    • smectics

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