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Asymptotic solutions for an electrically induced Freedericksz transition in a wedge of smectic C liquid crystal

Smith, A.A.T. and Stewart, I.W. (2006) Asymptotic solutions for an electrically induced Freedericksz transition in a wedge of smectic C liquid crystal. Journal of Physics A: Mathematical and Theoretical, 39 (37). pp. 11361-11382. ISSN 0305-4470

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Abstract

Theoretical work based on the Freedericksz transition in a wedge of smectic C liquid crystal is presented. Continuum theory is employed in order to mathematically model the two-way interaction between the anisotropic fluid and an applied electric field. Asymptotic methods are used to obtain concise and informative explicit solutions for limiting regimes where (a) the applied voltage is just above threshold, and (b) a high voltage is applied. As is anticipated, in the case of a small dielectric anisotropy, the solution reduces to that obtained when the two-way interaction is neglected. Nevertheless, at voltages close to threshold, this interaction can have a significant effect upon the director profile. Realistic material, geometry and field parameters are adopted in order to display these solutions. By comparing them with those obtained using a numerical method, a high degree of accuracy can be found within the above regimes.

Item type: Article
ID code: 17222
Keywords: soft matter, liquids, polymers, electrical matter, magnetic matter, optical matter, Optics. Light, Probabilities. Mathematical statistics
Subjects: Science > Physics > Optics. Light
Science > Mathematics > Probabilities. Mathematical statistics
Department: Faculty of Science > Mathematics and Statistics
Faculty of Science > Mathematics and Statistics > Mathematics
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    Depositing user: Strathprints Administrator
    Date Deposited: 07 Apr 2010 14:45
    Last modified: 17 Jul 2013 00:10
    URI: http://strathprints.strath.ac.uk/id/eprint/17222

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