Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.2/1467
Título: Bifurcation analysis of the twist-Fréedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions
Autor: Costa, Fernando Pestana da
Gartland Jr, Eugene C.
Grinfeld, Michael
Pinto, João Teixeira
Palavras-chave: Pendulum equation
Liquid crystals
Non-homogeneous Dirichlet boundary value problems
Bifurcation theory
Time maps
Phase plane analysis
Twist-Fréedericksz transition
Liquid crystals
Data: 2009
Editora: Cambridge University Press
Citação: COSTA, Fernando Pestana da [et al.] - Bifurcation analysis of the twist-Fréedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions. " European Journal of Applied Mathematics". ISSN 0956-7925 (Print) 1469-4425 (Online). Vol. 20 (2009), p. 269–287
Resumo: Motivated by a recent investigation of Millar and McKay [Director orientation of a twisted nematic under the influence of an in-plane magnetic field. Mol. Cryst. Liq. Cryst 435, 277/[937]–286/[946] (2005)], we study the magnetic field twist-Fréedericksz transition for a nematic liquid crystal of positive diamagnetic anisotropy with strong anchoring and pre-twist boundary conditions. Despite the pre-twist, the system still possesses z_2 symmetry and a symmetry- breaking pitchfork bifurcation, which occurs at a critical magnetic-field strength that, as we prove, is above the threshold for the classical twist-Fréedericksz transition (which has no pre-twist). It was observed numerically by Millar and McKay that this instability occurs precisely at the point at which the ground-state solution loses its monotonicity (with respect to the position coordinate across the cell gap). We explain this surprising observation using a rigorous phase-space analysis.
URI: http://hdl.handle.net/10400.2/1467
ISSN: 0956-7925 (Print)
1469-4425 (Online)
Versão do Editor: DOI:10.1017/S0956792509007827
peerreviewed
Aparece nas colecções:Matemática e Estatística - Artigos em revistas internacionais / Papers in international journals

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