Department of Physics Papers

Document Type

Journal Article

Date of this Version

8-29-2006

Abstract

The equilibrium texture of nematic shells is studied as a function of their thickness. For ultrathin shells the ground state has four short ½ disclination lines but, as the thickness of the film increases, a three-dimensional escaped configuration composed of two pairs of half-hedgehogs becomes energetically favorable. We derive an exact solution for the nematic ground state in the one Frank constant approximation and study the stability of the corresponding texture against thermal fluctuations.

Comments

Suggested Citation:
Vitelli, V. and Nelson, D.R. (2006). Nematic textures in spherical shells. Physical Review E 74, 021711.

© 2006 American Physical Society
http://dx.doi.org/10.1103/PhysRevE.74.021711

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Date Posted: 14 July 2011

This document has been peer reviewed.