BPS Configurations in Smectics

Details BPS Configurations in Smectics BPS Configurations in Smectics

2003-03-25

arxiv.org/abs/cond-mat/0303532v3

Phys. Rev. Lett. 91 (2003) 045506

Physics

Condensed Matter

Soft Condensed Matter

4 pages, RevTeX, 2 figures, corrected typos

Scientific paper

10.1103/PhysRevLett.91.045506

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.

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