Computing equilibrium states of cholesteric liquid crystals in elliptical channels with deflation algorithms

Author: 

Emerson, D
Farrell, P
Adler, J
MacLachlan, S
Atherton, T

Publication Date: 

2018

Journal: 

LIQUID CRYSTALS

Last Updated: 

2019-04-27T05:04:19.24+01:00

Issue: 

3

Volume: 

45

DOI: 

10.1080/02678292.2017.1365385

page: 

341-350

abstract: 

© 2017 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group. We study the problem of a cholesteric liquid crystal confined to an elliptical channel. The system is geometrically frustrated because the cholesteric prefers to adopt a uniform rate of twist deformation, but the elliptical domain precludes this. The frustration is resolved by deformation of the layers or introduction of defects, leading to a particularly rich family of equilibrium configurations. To identify the solution set, we adapt and apply a new family of algorithms, known as deflation methods that iteratively modify the free energy extremisation problem by removing previously known solutions. A second algorithm, deflated continuation, is used to track solution branches as a function of the aspect ratio of the ellipse and preferred pitch of the cholesteric.

Symplectic id: 

710875

Download URL: 

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article