James, R;
Fukuda, J-I;
(2014)
Twist transition of nematic hyperbolic hedgehogs.
Physical Review E
, 89
(4)
10.1103/PhysRevE.89.042501.
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Abstract
Stability of an idealized hyperbolic hedgehog in a nematic liquid crystal against a twist transition is investigated by extending the methodology of Rüdinger and Stark [Liq. Cryst. 26, 753 (1999)], where the hedgehog is confined between two concentric spheres. In the ideal hyperbolic-hedgehog the molecular orientation is assumed to rotate proportionally with respect to the inclination angle, θ (and in the opposite sense). However, when splay, k11, and bend, k33, moduli differ this proportionality is lost and the liquid crystal deforms relative to the ideal with bend and splay. Although slight, these deformations are shown to significantly shift the transition if k11/k33 is small. By increasing the degree of confinement the twist transition can be inhibited, a characteristic both hyperbolic and radial hedgehogs have in common. The twist transition of a hyperbolic defect that accompanies a particle is found to be well predicted by the earlier stability analysis of a thick shell.
| Type: | Article |
|---|---|
| Title: | Twist transition of nematic hyperbolic hedgehogs |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevE.89.042501 |
| Publisher version: | http://dx.doi.org/10.1103/PhysRevE.89.042501 |
| Language: | English |
| Additional information: | This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. http://creativecommons.org/licenses/by/3.0/ |
| UCL classification: | UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1468904 |
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