Stability of domain walls in cylindrical layers of smectic C liquid crystals

Atkin, R.J. and Stewart, I.W. (2002) Stability of domain walls in cylindrical layers of smectic C liquid crystals. Quarterly Journal of Mechanics and Applied Mathematics, 55 (2). pp. 163-177. ISSN 0033-5614 (http://dx.doi.org/10.1093/qjmam/55.2.163)

Abstract

The stability of the static domain wall reported by Atkin and Stewart for an infinite sample of concentric, cylindrical layers of smectic C liquid crystals arranged with a fixed inner radius a > 0 is considered. A criterion is derived as a test for stability. Various estimates on the relative magnitudes of the smectic elastic constants lead to physically meaningful stability results. The occurrence of such a wall indicates the relative magnitudes of the combinations of constants A12 ? A21 and A12 andplus; A21 andplus; 2A11 and, in a special case, can indicate when A12 andap; A21.

ORCID iDs

Stewart, I.W. ORCID: https://orcid.org/0000-0002-4374-9842

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• Item metadata

  Item type:	Article
  ID code:	2056
  Dates:	Date Event May 2002 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Strathprints Administrator
  Date deposited:	14 Jan 2007
  Last modified:	11 Nov 2024 08:22
  URI:	https://strathprints.strath.ac.uk/id/eprint/2056