Perturbed hedgehogs: continuous deformation of point defects in biaxial nematic liquid crystals
Perturbed hedgehogs: continuous deformation of point defects in biaxial nematic liquid crystals
A spherically symmetric isolated point defect in a 3D uniaxial nematic liquid crystal sample is often called a {\it radial hedgehog}. We use topological methods to describe local configurations of uniaxial and biaxial states into which a hedgehog naturally deforms under small perturbations: these include the biaxial torus and split core configurations studied in the literature using analytical and numerical methods. The topological results here take no account of the governing physical laws but provide a library of options from which the physics must make a choice.
Chillingworth, David
39d011b7-db33-4d7d-8dc7-c5a4e0a61231
Chillingworth, David
39d011b7-db33-4d7d-8dc7-c5a4e0a61231
Chillingworth, David
(2015)
Perturbed hedgehogs: continuous deformation of point defects in biaxial nematic liquid crystals.
IMA Journal of Applied Mathematics.
Abstract
A spherically symmetric isolated point defect in a 3D uniaxial nematic liquid crystal sample is often called a {\it radial hedgehog}. We use topological methods to describe local configurations of uniaxial and biaxial states into which a hedgehog naturally deforms under small perturbations: these include the biaxial torus and split core configurations studied in the literature using analytical and numerical methods. The topological results here take no account of the governing physical laws but provide a library of options from which the physics must make a choice.
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e-pub ahead of print date: 18 November 2015
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Mathematical Sciences
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Local EPrints ID: 384172
URI: http://eprints.soton.ac.uk/id/eprint/384172
ISSN: 0272-4960
PURE UUID: a11806d6-7e9a-4289-a500-a5e5f455f2a2
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Date deposited: 24 Nov 2015 15:29
Last modified: 14 Mar 2024 21:54
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