BPS Configurations in Smectics
Soft Condensed Matter
2009-11-10 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.cond-mat/0303532,
title = {BPS Configurations in Smectics},
author = {C. D. Santangelo and Randall D. Kamien},
journal= {arXiv preprint arXiv:cond-mat/0303532},
year = {2009}
}
Comments
4 pages, RevTeX, 2 figures, corrected typos