Minimality conditions for wave speed in anisotropic smectic C* liquid crystals

Elaine C. M. Crooks, Michael Grinfeld, Geoffrey McKay

Research output: Contribution to journalArticle

Abstract

We discuss minimality conditions for the speed of monotone travelling waves in a sample of smectic C* liquid crystal subject to a constant electric field, dealing with both isotropic and anisotropic cases. Such conditions are important in understanding the properties of domain wall switching across a smectic layer, and our focus here is on examining how the presence of anisotropy can affect the speed of this switching. We obtain an estimate of the influence of anisotropy on the minimal speed, sufficient conditions for linear and non-linear minimal speed selection mechanisms to hold in different parameter regimes, and a characterisation of the boundary separating the linear and non-linear regimes in parameter space.
LanguageEnglish
Pages1-15
Number of pages15
JournalMathematical Methods in the Applied Sciences
Early online date18 Sep 2017
DOIs
StateE-pub ahead of print - 18 Sep 2017

Fingerprint

Minimality
Wave Speed
Liquid Crystal
Liquid crystals
Anisotropy
Domain walls
Domain Wall
Traveling Wave
Parameter Space
Electric Field
Monotone
Electric fields
Sufficient Conditions
Estimate

Keywords

  • smectic C* liquid crystals
  • travelling waves
  • minimality conditions
  • variational principles
  • anisotropy

Cite this

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abstract = "We discuss minimality conditions for the speed of monotone travelling waves in a sample of smectic C* liquid crystal subject to a constant electric field, dealing with both isotropic and anisotropic cases. Such conditions are important in understanding the properties of domain wall switching across a smectic layer, and our focus here is on examining how the presence of anisotropy can affect the speed of this switching. We obtain an estimate of the influence of anisotropy on the minimal speed, sufficient conditions for linear and non-linear minimal speed selection mechanisms to hold in different parameter regimes, and a characterisation of the boundary separating the linear and non-linear regimes in parameter space.",
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