AuthorsD. B. Emerson, P. E. Farrell, J. H. Adler, M. C. MacLachlan and T. J. Atherton
TitleComputing equilibrium states of cholesteric liquid crystals in elliptical channels with deflation algorithms
Project(s)Center for Biomedical Computing (SFF)
Publication TypeJournal Article
Year of Publication2017
JournalLiquid Crystals
PublisherTaylor & Francis Online

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.

Citation Key25496