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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

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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.