Wave-induced perturbations in cylindrically layered smectic A liquid crystals

Alan Walker; I. W. Stewart

doi:10.1007/s00033-011-0155-y

Wave-induced perturbations in cylindrically layered smectic A liquid crystals

Alan Walker, I. W. Stewart

Faculty of Computing, Engineering and Science

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	357 - 371
Number of pages	14
Journal	Zeitschrift fur Angewandte Mathematik und Physik (ZAMP)
Volume	63
Issue number	2
DOIs	https://doi.org/10.1007/s00033-011-0155-y
Publication status	E-pub ahead of print - 1 Apr 2012

Keywords

smectic a liquid crystals
cylindrical layers
decoupling of director and layer normal
pertubations

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10.1007/s00033-011-0155-y

Cite this

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AB - 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.

KW - smectic a liquid crystals

KW - cylindrical layers

KW - decoupling of director and layer normal

KW - pertubations

U2 - 10.1007/s00033-011-0155-y

DO - 10.1007/s00033-011-0155-y

M3 - Article

SN - 0044-2275

VL - 63

SP - 357

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JO - Zeitschrift fur Angewandte Mathematik und Physik (ZAMP)

JF - Zeitschrift fur Angewandte Mathematik und Physik (ZAMP)

IS - 2

ER -

Wave-induced perturbations in cylindrically layered smectic A liquid crystals

Abstract

Keywords

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