Wigham, E.J. (2005) Analysis of ring patterns in SmC* liquid crystals. Molecular Crystals and Liquid Crystals, 436. pp. 955-969.Full text not available in this repository. (Request a copy from the Strathclyde author)
It has been seen experimentally that ring patterns occur when planar aligned samples of SmC* are subjected to a rotating in-plane electric field . 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.
|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:||22 Mar 2017 09:22|