McKay, Geoff (2001) Cylindrical, spherical and toroidal layering of smectic C liquid crystals. Molecular Crystals and Liquid Crystals, 366 (1). pp. 403-412. ISSN 1542-1406
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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.
|Keywords:||smectic C liquid crystals, continuum theory, static solutions, Mathematics, Materials Science(all), Chemistry(all), Condensed Matter Physics|
|Subjects:||Science > Mathematics|
|Department:||Faculty of Science > Mathematics and Statistics|
|Depositing user:||Strathprints Administrator|
|Date Deposited:||03 Mar 2007|
|Last modified:||29 Apr 2016 14:24|