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

Research output: Contribution to journalArticle

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.
Original languageEnglish
Pages (from-to)1-15
Number of pages15
JournalMathematical Methods in the Applied Sciences
Early online date18 Sep 2017
DOIs
StateE-pub ahead of print - 18 Sep 2017

    Research areas

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

Bibliographical note

This is the peer reviewed version of the following article: Crooks ECM, Grinfeld M, McKay G. Minimality conditions for wave speed in anisotropic smectic C* liquid crystals. Math Meth Appl Sci. 2017;1–15, which has been published in final form at https://doi.org/10.1002/mma.4596. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.

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