Willman, E;
Fernandez, FA;
James, R;
Day, SE;
(2007)
Modeling of weak anisotropic anchoring of nematic liquid crystals in the Landau-de Gennes theory.
IEEE T ELECTRON DEV
, 54
(10)
2630 - 2637.
10.1109/TED.2007.904369.
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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.
| Type: | Article |
|---|---|
| Title: | Modeling of weak anisotropic anchoring of nematic liquid crystals in the Landau-de Gennes theory |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1109/TED.2007.904369 |
| Keywords: | anchoring, liquid crystal (LC), SUBSTRATE INTERFACE, DEGENNES THEORY, TRANSITION, ORDER, DEPENDENCE, STRENGTH, ENERGY |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/5239 |
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