The University of Southampton
University of Southampton Institutional Repository

Perturbed hedgehogs: continuous deformation of point defects in biaxial nematic liquid crystals

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.


0272-4960
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.

Record type: Article

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.


PDF
hpaper2.pdf - Author's Original
Download (250kB)

More information

e-pub ahead of print date: 18 November 2015
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 384172
URI: https://eprints.soton.ac.uk/id/eprint/384172
ISSN: 0272-4960
PURE UUID: a11806d6-7e9a-4289-a500-a5e5f455f2a2

Catalogue record

Date deposited: 24 Nov 2015 15:29
Last modified: 17 Jul 2017 20:07

Export record

Contributors

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×