DocumentCode :
1225962
Title :
Modeling of Weak Anisotropic Anchoring of Nematic Liquid Crystals in the Landau–de Gennes Theory
Author :
Willman, Eero ; Fernández, F. Aníbal ; James, Richard ; Day, Sally E.
Author_Institution :
Univ. Coll. London, London
Volume :
54
Issue :
10
fYear :
2007
Firstpage :
2630
Lastpage :
2637
Abstract :
The anisotropic anchoring effect of a treated solid surface on a nematic liquid crystal is described in the Landau-de Gennes theory using a power expansion on the tensor-order parameter and two mutually orthogonal unit vectors. The expression has three degrees of freedom, allowing for independent assignment of polar and azimuthal anchoring strengths and a preferred value of the surface-order parameter. It is shown that in the limit for a uniaxial constant-order parameter, the expression simplifies to the anisotropic generalization of the Rapini-Papoular anchoring energy density proposed by Zhao et al. Experimentally measurable values with a physical meaning in the Oseen-Frank theory can be scaled and assigned to the scalar coefficients of the tensor-order- parameter expansion. Results of numerical experiments comparing the anchoring according to the study of Zhao et al. in the Oseen-Frank theory and the power expansion in the Landau-de Gennes theory are presented and shown to agree well.
Keywords :
liquid crystal devices; nematic liquid crystals; Landau-de Gennes theory; Rapini-Papoular anchoring energy density; nematic liquid crystals; power expansion; surface-order parameter; tensor-order parameter; treated solid surface; uniaxial constant-order parameter; weak anisotropic anchoring; Anisotropic magnetoresistance; Chemical processes; Energy consumption; Helium; Liquid crystals; Polarization; Polymer films; Solid modeling; Surface treatment; Anchoring; liquid crystal (LC);
fLanguage :
English
Journal_Title :
Electron Devices, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9383
Type :
jour
DOI :
10.1109/TED.2007.904369
Filename :
4317759
Link To Document :
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