The Mathematical Institute, University of Oxford, Eprints Archive

Biaxial defect cores in nematic equilibria an asymptotic result

Majumdar, A. and Pisante, A. and Henao, D. (2012) Biaxial defect cores in nematic equilibria an asymptotic result. Physical Review Letters . (Submitted)

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Abstract

We analyze nematic defects on arbitrary three-dimensional (3D) geometries subject to strong anchoring boundary conditions, for low temperatures. We obtain a complete characterization of defect profiles in physically realistic uniaxial solutions, in the low-temperature limit. We show that (i) the radial-hedgehog (RH) solution is the only admissible uniaxial defect in the low-temperature limit and (ii) Landau-de Gennes energy minimizers must have biaxial defect cores for low temperatures.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1644
Deposited By: Peter Hudston
Deposited On:05 Jan 2013 10:31
Last Modified:29 May 2015 19:20

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