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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