Journal
SIAM JOURNAL ON APPLIED MATHEMATICS
Volume 66, Issue 6, Pages 2107-2126Publisher
SIAM PUBLICATIONS
DOI: 10.1137/050641120
Keywords
chiral; energy minimizer; electrostatic self-interaction; ferroelectricity; helical filaments; liquid crystals; nonlocal effects; smectic C phase; smectic layers; vortex tubes
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We present modeling and analysis of smectic C phases of liquid crystals capable of sustaining spontaneous polarization. The layered liquid crystals are also assumed to be chiral. We study minimization of the total energy subject to electrostatic constraints. In order to determine mathematically and physically relevant boundary conditions, we appeal to the analogy between the current problem and the vorticity in fluids. We place a special emphasis on the nonlocal and self-energy effects arising from spontaneous polarization. We discuss examples pertaining to the electric field created by the liquid crystal in dielectric medium, and also to the possible role of a domain shape as an energy reduction mechanism.
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