Geometry of the Cholesteric Phase

Geometry of the Cholesteric Phase

We propose a construction of a cholesteric pitch axis for an arbitrary nematic director field as an eigenvalue problem. Our definition leads to a Frenet-Serret description of an orthonormal triad determined by this axis, the director, and the mutually perpendicular direction. With this tool, we are...

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Bibliographic Details
Main Authors: Daniel A. Beller, Thomas Machon, Simon Čopar, Daniel M. Sussman, Gareth P. Alexander, Randall D. Kamien, Ricardo A. Mosna
Format: Article
Language:English
Published: American Physical Society 2014-09-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.4.031050
Description
Summary:We propose a construction of a cholesteric pitch axis for an arbitrary nematic director field as an eigenvalue problem. Our definition leads to a Frenet-Serret description of an orthonormal triad determined by this axis, the director, and the mutually perpendicular direction. With this tool, we are able to compare defect structures in cholesterics, biaxial nematics, and smectics. Though they all have similar ground state manifolds, the defect structures are different and cannot, in general, be translated from one phase to the other.
ISSN:2160-3308

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