Wave-induced perturbations in cylindrically layered smectic A liquid crystals

A.J. Walker; I.W. Stewart

doi:10.1007/s00033-011-0155-y

Wave-induced perturbations in cylindrically layered smectic A liquid crystals

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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	15
Journal	Journal of Applied Mathematics and Physics
Volume	63
Issue number	2
DOIs	https://doi.org/10.1007/s00033-011-0155-y
Publication status	Published - Apr 2012
Externally published	Yes

Keywords

Smectic A liquid crystals
Cylindrical layers
Decoupling of director and layer normal
Perturbations

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10.1007/s00033-011-0155-y

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title = "Wave-induced perturbations in cylindrically layered smectic A liquid crystals",

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.",

keywords = "Smectic A liquid crystals, Cylindrical layers, Decoupling of director and layer normal, Perturbations",

author = "A.J. Walker and I.W. Stewart",

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doi = "10.1007/s00033-011-0155-y",

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AU - Stewart, I.W.

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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 - Perturbations

U2 - 10.1007/s00033-011-0155-y

DO - 10.1007/s00033-011-0155-y

M3 - Article

SN - 1420-9039

VL - 63

SP - 357

EP - 371

JO - Journal of Applied Mathematics and Physics

JF - Journal of Applied Mathematics and Physics

IS - 2

ER -

Wave-induced perturbations in cylindrically layered smectic A liquid crystals

Abstract

Keywords

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