Cylindrical, spherical and toroidal layering of smectic C liquid crystals

Research output: Contribution to journalArticle

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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.
Original languageEnglish
Pages (from-to)403-412
Number of pages10
JournalMolecular Crystals and Liquid Crystals
Volume366
Issue number1
DOIs
Publication statusPublished - Aug 2001

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Liquid Crystals
Liquid crystals
liquid crystals
Parameterization
parameterization
plots
continuums
Geometry
geometry
configurations

Keywords

  • smectic C liquid crystals
  • continuum theory
  • static solutions

Cite this

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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.",
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Cylindrical, spherical and toroidal layering of smectic C liquid crystals. / McKay, Geoff.

In: Molecular Crystals and Liquid Crystals, Vol. 366, No. 1, 08.2001, p. 403-412.

Research output: Contribution to journalArticle

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