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The Quarterly Journal of Mechanics and Applied Mathematics 2002 55(2):163-177; doi:10.1093/qjmam/55.2.163
© 2002 by Oxford University Press
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Stability of Domain Walls in Cylindrical Layers of Smectic C Liquid Crystals

R. J. Atkin1 and I. W. Stewart2

( 1 Department of Applied Mathematics, University of Sheffield, Sheffield S3 7RH 2 Department of Mathematics, Strathclyde University, Glasgow G1 1XH )

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 + A21 + 2A11 and, in a special case, can indicate when A12 {approx} A21.

Received 3 March 2000. Revised 14 February and 1 June 2001.


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