Wigham, E.J.
(2005)
*Analysis of ring patterns in SmC* liquid crystals.*
Molecular Crystals and Liquid Crystals, 436.
pp. 955-969.

## Abstract

It has been seen experimentally that ring patterns occur when planar aligned samples of SmC* are subjected to a rotating in-plane electric field [4712]. We shall model this problem mathematically by approximating the ring patterns and considering a circular domain embedded within a rectangular sample. The ring patterns will be modelled by travelling wave solutions. We shall then investigate the stability of these travelling wave solutions via a linearised perturbation, a Hardy-type inequality and an isoperimetric minimisation problem. This allows a calculation of the lowest eigenvalue which we use to determine the response time of perturbations to the travelling wave solution.

Item type: | Article |
---|---|

ID code: | 2252 |

Keywords: | ring patterns, smectic C liquid crystals, stability, smectics, Physics, Materials Science(all), Chemistry(all), Condensed Matter Physics |

Subjects: | Science > Physics |

Department: | Faculty of Science > Mathematics and Statistics > Mathematics |

Depositing user: | Strathprints Administrator |

Date Deposited: | 07 Dec 2006 |

Last modified: | 20 Oct 2015 11:37 |

URI: | http://strathprints.strath.ac.uk/id/eprint/2252 |

### Actions (login required)

View Item |