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Biaxial defect cores in nematic equilibria an asymptotic result

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.

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A. Majumdar More by this author
A. Pisante More by this author
Publication date:
2012
URN:
uuid:d628f53b-587e-426a-ae3d-20ddbf32f8c9
Local pid:
oai:eprints.maths.ox.ac.uk:1644

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