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Theoretical analysis of the magnetic Freedericksz transition in the presence of flexoelectricity and ionic contamination

Smith, A.A.T. and Brown, C.V. and Mottram, N.J. (2007) Theoretical analysis of the magnetic Freedericksz transition in the presence of flexoelectricity and ionic contamination. Physical Review E, 75. 041704-041712. ISSN 1539-3755

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Abstract

We have derived an approximate analytical expression for the static director distortion of a planar nematic layer subject to a magnetic field H immediately above the critical Fræ#169;edericksz transition H=Hc. The layer contains a voltage-independent density of positively and negatively singly charged ionic species that interact with the flexoelectric and dielectric polarizations which appear when the director is distorted. The analytical solution is shown to correspond closely to a full numerical calculation when H/Hc=1.01. The analytical approach allows a quantitative insight into how the mobile charge shields the polarization for different values of the elastic constants, the ionic density, the flexoelectric coefficients, and the layer thickness.

Item type: Article
ID code: 4556
Keywords: flexoelectricity, physics, numerical mathematics, statistics, Mathematics, Statistics
Subjects: Science > Mathematics
Social Sciences > 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: 01 Nov 2007
Last modified: 07 Dec 2012 14:54
URI: http://strathprints.strath.ac.uk/id/eprint/4556

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