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

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	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

Access to Document

10.1007/s00033-011-0155-y

Cite this

@article{87def92a65f14373b19443bec9febcda,

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",

year = "2012",

month = apr,

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

language = "English",

volume = "63",

pages = "357--371",

journal = "Journal of Applied Mathematics and Physics",

issn = "0044-2275",

publisher = "Springer",

number = "2",

}

TY - JOUR

T1 - Wave-induced perturbations in cylindrically layered smectic A liquid crystals

AU - Walker, A.J.

AU - Stewart, I.W.

PY - 2012/4

Y1 - 2012/4

N2 - 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.

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 - 0044-2275

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

Access to Document

Fingerprint

Cite this