Revisiting the two-dimensional defect-free azimuthal nematic equilibrium on an annulus

Author: 

Lewis, A
Aarts, D
Howell, P
Majumdar, A

Publication Date: 

2 November 2017

Journal: 

SIAM Journal on Applied Mathematics

Last Updated: 

2021-09-28T16:07:13.75+01:00

Issue: 

6

Volume: 

77

DOI: 

10.1137/17M1124656

page: 

1851-1875

abstract: 

We study the azimuthal defect-free nematic state on a two-dimensional annulus within a simplified and reduced two-dimensional Landau–de Gennes model for nematic liquid crystals. We perform a detailed asymptotic analysis of the instabilities of the defect-free state in terms of a dimensionless material and temperature-dependent variable and the annular aspect ratio. The asymptotic analysis is accompanied by a rigorous local stability result, again in terms of a dimensionless material and temperature-dependent parameter and annular aspect ratio. In contrast to Oseen-Frank predictions, the defect-free state can be unstable in this model, with elastic isotropy and strong anchoring, for a range of macroscopically relevant annular aspect ratios.

Symplectic id: 

724280

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article