Developed Smectics: When Exact Solutions Agree
Soft Condensed Matter
2012-01-27 v1
Abstract
In the limit where the bending modulus vanishes, we construct layer configurations with arbitrary dislocation textures by exploiting a connection between uniformly-spaced layers in two dimensions and developable surfaces in three dimensions. We then show how these focal textures can be used to construct layer configurations with finite bending modulus.
Cite
@article{arxiv.1110.4289,
title = {Developed Smectics: When Exact Solutions Agree},
author = {Gareth P. Alexander and Randall D. Kamien and Christian D. Santangelo},
journal= {arXiv preprint arXiv:1110.4289},
year = {2012}
}
Comments
5 pages, 3 figures