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Static domain wall solutions for smectic C liquid crystals and nematic liquid crystals in cylindrical geometry

Stewart, I.W. and Atkin, R.J. (2004) Static domain wall solutions for smectic C liquid crystals and nematic liquid crystals in cylindrical geometry. Journal of Non-Newtonian Fluid Mechanics, 119 (1-3). pp. 105-113.

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Abstract

Theoretical results are derived in this article for possible domain wall solutions for smectic C liquid crystals confined to a concentric circular cylindrical geometry in the presence of an azimuthal magnetic field. A rich variety of solutions can be constructed via a phase plane analysis for the governing equilibrium equation. General solutions are derived from this procedure which allow new solutions to be identified and interpreted in novel terms for both smectic C and nematic liquid crystals. As the magnetic field strength B increases, two critical values Bc1 and Bc2 may occur where the solution may change some of its properties. Domain wall widths are also discussed.