### Abstract

Language | English |
---|---|

Pages | 1-15 |

Number of pages | 15 |

Journal | Mathematical Methods in the Applied Sciences |

Early online date | 18 Sep 2017 |

DOIs | |

State | E-pub ahead of print - 18 Sep 2017 |

### Fingerprint

### Keywords

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

### Cite this

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**Minimality conditions for wave speed in anisotropic smectic C* liquid crystals.** / Crooks, Elaine C. M.; Grinfeld, Michael; McKay, Geoffrey.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Minimality conditions for wave speed in anisotropic smectic C* liquid crystals

AU - Crooks,Elaine C. M.

AU - Grinfeld,Michael

AU - McKay,Geoffrey

N1 - 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.

PY - 2017/9/18

Y1 - 2017/9/18

N2 - 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.

AB - 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.

KW - smectic C liquid crystals

KW - travelling waves

KW - minimality conditions

KW - variational principles

KW - anisotropy

UR - http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1476

U2 - 10.1002/mma.4596

DO - 10.1002/mma.4596

M3 - Article

SP - 1

EP - 15

JO - Mathematical Methods in the Applied Sciences

T2 - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

SN - 0170-4214

ER -