Wave-induced perturbations in cylindrically layered smectic A liquid crystals

A.J. Walker, Iain Stewart

Research output: Contribution to journalArticle

Abstract

We consider the stability of a cylindrically layered smectic A liquid crystal sample under a sinusoidal perturbation where we allow for the decoupling between the layer normal and the director. Two forms of general anstazes are proposed: one provides exact solutions for the flow and layer undulations while the other provides series solutions for the hydrodynamic variables. Both cases provide an estimate for a stability parameter. Plots of the flow, layer undulations and pressure are provided
Original languageEnglish
Pages (from-to)357-371
Number of pages15
JournalZeitschrift für Angewandte Mathematik und Physik
Volume63
Issue number2
DOIs
Publication statusPublished - Apr 2012

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Liquid Crystal
Liquid crystals
liquid crystals
Perturbation
perturbation
Hydrodynamics
Series Solution
Decoupling
decoupling
Exact Solution
plots
hydrodynamics
estimates
Estimate
Form

Keywords

  • smectic A liquid crystals
  • cylindrical layers
  • decoupling of director and layer normal
  • perturbations

Cite this

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Wave-induced perturbations in cylindrically layered smectic A liquid crystals. / Walker, A.J.; Stewart, Iain.

In: Zeitschrift für Angewandte Mathematik und Physik, Vol. 63, No. 2, 04.2012, p. 357-371.

Research output: Contribution to journalArticle

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AU - Walker, A.J.

AU - Stewart, Iain

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KW - cylindrical layers

KW - decoupling of director and layer normal

KW - perturbations

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M3 - Article

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