Smectic Pores and Defect Cores
Soft Condensed Matter
2012-08-27 v1
Abstract
Riemann's minimal surfaces are a complete, embeddable, one-parameter family of minimal surfaces with translational symmetry along one direction. It's infinite number of planar ends are joined together by an array of necks, closely matching the morphology of a bicontinuous, lamellar system with pores connecting alternating layers. We demonstrate explicitly that Riemann's minimal surfaces are composed of a nonlinear sum of two oppositely-handed helicoids. This description is particularly appropriate for describing smectic liquid crystals containing two screw dislocations.
Cite
@article{arxiv.1110.0664,
title = {Smectic Pores and Defect Cores},
author = {Elisabetta A. Matsumoto and Christian D. Santangelo and Randall D. Kamien},
journal= {arXiv preprint arXiv:1110.0664},
year = {2012}
}
Comments
6 pages, 4 figures, Geometry of Interfaces Oct 2011, Primosten, Croatia