BPS Configurations in Smectics
arXiv:cond-mat/0303532 · doi:10.1103/PhysRevLett.91.045506
Abstract
It is typical in smectic liquid crystals to describe elastic deformations with a linear theory when the elastic strain is small. We extend the recent, exact solution of Brener and Marchenko to more general one-dimensional deformations, including multiple edge dislocations by relying on the Bogomol'nyi, Prasad and Sommerfield (BPS) decomposition. We introduce an approximation for the deformation profile far from a spherical inclusion and find an enhanced attractive interaction at long distances due to the nonlinear elasticity.
4 pages, RevTeX, 2 figures, corrected typos
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