@article {25496,
	title = {Computing equilibrium states of cholesteric liquid crystals in elliptical channels with deflation algorithms},
	journal = {Liquid Crystals},
	year = {2017},
	publisher = {Taylor \& Francis Online},
	abstract = {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.},
	doi = {10.1080/02678292.2017.1365385},
	author = {David B {Emerson} and Patrick Emmet {Farrell} and James Haley {Adler} and Mary C. {MacLachlan} and Timothy J. {Atherton}}
}
