Wigham, E.J. (2005) Analysis of ring patterns in SmC* liquid crystals. Molecular Crystals and Liquid Crystals, 436. pp. 955-969. ISSN 15635287
Full text not available in this repository. (Request a copy from the Strathclyde author)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 |
| Subjects: | Science > Physics |
| Department: | Faculty of Science > Mathematics |
| Related URLs: | |
| Depositing user: | Strathprints Administrator |
| Date Deposited: | 07 Dec 2006 |
| Last modified: | 12 Mar 2012 10:37 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/2252 |
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