Electric-Field--Induced Density Modulations in a Nematic Liquid Crystal Cell

De Matteis, Giovanni and Napoli, Gaetano (2013) Electric-Field--Induced Density Modulations in a Nematic Liquid Crystal Cell. SIAM Journal on Applied Mathematics, 73 (2). pp. 882-903. ISSN 0036-1399

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Official URL: http://dx.doi.org/10.1137/120892052

Abstract

We theoretically investigate the mutual interaction of a nematic liquid crystal with a static electric field within the general framework of a variational theory for nematoacoustics recently proposed in [E. G. Virga, Phys. Rev. E, 80 (2009), 031705] and based on a coupling between the nematic director and the gradient of the mass density. The liquid crystal is confined in a nematic cell with strong planar anchoring conditions imposed at the boundaries. A linear and a nonlinear numerical analysis of the corresponding equilibrium equations are performed. We show that a Fréedericksz-type transition occurs at a threshold voltage applied at the plates of the cell, and a distortion of the director profile is induced and accompanied by a mass density undulation.

Item Type: Article
Uncontrolled Keywords: nematic liquid crystals, ultrasonic waves, acoustics, Korteweg fluids, capillarity, Fréedericksz transition
Subjects: G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Ay Okpokam
Date Deposited: 17 Oct 2013 09:43
Last Modified: 10 Aug 2015 11:10
URI: http://nrl.northumbria.ac.uk/id/eprint/14031

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