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The alignment of cylindrically layered smectic A liquid crystals with director tilt on the boundaries

Walker, A.J. (2008) The alignment of cylindrically layered smectic A liquid crystals with director tilt on the boundaries. Journal of Physics A: Mathematical and Theoretical, 41 (38).

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A novel method for constructing a nonlinear smectic layer function is outlined and employed to construct free energy density functions for two theoretical experiments involving cylindrically layered smectic A liquid crystals. Director tilt on the boundaries is imposed and it is assumed that the layer normal a and the director n are free to decouple. The free energy density functions are minimized to reveal coupled differential equations which describe a and n. Comments are made on cylindrical systems where splay energies are negligible. Solutions are given and the results discussed. (Abstract from: http://iopscience.iop.org/1751-8121/41/38/385205)