Tuesday, January 1, 2013

1212.6688 (Bryan Gin-ge Chen et al.)

Threading the Needle: Generating Textures in Nematics    [PDF]

Bryan Gin-ge Chen, Paul J. Ackerman, Gareth P. Alexander, Randall D. Kamien, Ivan I. Smalyukh
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.
View original: http://arxiv.org/abs/1212.6688

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