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.
| Original language | English |
|---|---|
| Pages (from-to) | 955-969 |
| Number of pages | 14 |
| Journal | Molecular Crystals and Liquid Crystals |
| Volume | 436 |
| DOIs | |
| Publication status | Published - 2005 |
Keywords
- ring patterns
- smectic C liquid crystals
- stability
- smectics