Threading the Needle: Generating Textures in Nematics
Soft Condensed Matter
2013-06-04 v1 Materials Science
Mathematical Physics
math.MP
Abstract
The Hopf fibration is an example of a texture: a topologically stable, smooth, global configuration of a field. Here we demonstrate the controlled sculpting of the Hopf fibration in nematic liquid crystals through the control of point defects. We demonstrate how these are related to torons by use of a topological visualization technique derived from the Pontryagin-Thom construction.
Cite
@article{arxiv.1212.6688,
title = {Threading the Needle: Generating Textures in Nematics},
author = {Bryan Gin-ge Chen and Paul J. Ackerman and Gareth P. Alexander and Randall D. Kamien and Ivan I. Smalyukh},
journal= {arXiv preprint arXiv:1212.6688},
year = {2013}
}
Comments
5 pages, 3 figures