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arXiv · 1106.5031

Analysis of Nematic Liquid Crystals with Disclination Lines

P. Bauman·J. Park·D. Phillips
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Abstract

We investigate the structure of nematic liquid crystal thin films described by the Landau--de Gennes tensor-valued order parameter with Dirichlet boundary conditions of nonzero degree. We prove that as the elasticity constant goes to zero a limiting uniaxial texture forms with disclination lines corresponding to a finite number of defects, all of degree 1/2 or all of degree -1/2. We also state a result on the limiting behavior of minimizers of the Chern-Simons-Higgs model without magnetic field that follows from a similar proof.

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P. Bauman, J. Park, D. Phillips. 2011-06-24. Analysis of Nematic Liquid Crystals with Disclination Lines. https://doi.org/10.1007/s00205-012-0530-7

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