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Cylindrical, spherical and toroidal layering of smectic C liquid crystals

McKay, Geoff (2001) Cylindrical, spherical and toroidal layering of smectic C liquid crystals. Molecular Crystals and Liquid Crystals, 366. pp. 403-412. ISSN 1542-1406

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Abstract

This article examines static solutions to the smectic C continuum equations of Leslie et al.(1) for a variety of layer geometries. In particular it is shown that valid molecular configurations exist for cylindrical, spherical and toroidal layers. Suitable parameterizations are introduced for each surface and the Euler-Lagrange balance equations are solved in a suitable coordinate system. Plots of the surfaces are presented, and their relationship to singularities in the solutions are discussed.

Item type: Article
ID code: 2020
Keywords: smectic C liquid crystals, continuum theory, static solutions, Mathematics
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 03 Mar 2007
    Last modified: 04 Oct 2012 15:22
    URI: http://strathprints.strath.ac.uk/id/eprint/2020

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