Discontinuous order parameters in liquid crystal theories
Analysis of PDEs
2014-11-27 v2 Soft Condensed Matter
Abstract
The paper is concerned with various issues surrounding the mathematical description of defects in models of liquid crystals, drawing on experience from solid mechanics. The roles played by a suitable choice of function space and by the growth properties of the free-energy density are highlighted. Models in which the director can jump across surfaces are formulated, and their relevance for nematic elastomers, order reconstruction and smectic A thin films discussed.
Keywords
Cite
@article{arxiv.1411.3264,
title = {Discontinuous order parameters in liquid crystal theories},
author = {J. M. Ball and S. J. Bedford},
journal= {arXiv preprint arXiv:1411.3264},
year = {2014}
}
Comments
27 pages, 4 figures, Proceedings 25th International Liquid Crystal Conference 2014