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- W3045798317 abstract "Disclination configurations of a nematic liquid crystal are studied within a self-consistent molecular field theory. The theory is based on a tensor order parameter, and can accommodate anisotropic elastic energies without the known divergences in the Landau-de Gennes formulation. Our results agree with the asymptotic results of Dzyaloshinsky for the Frank-Oseen energy and far from the defect core, but reveal biaxial order at intermediate distances from the core, crossing over to uniaxial, but isotropic configurations as the core is approached. The elastic terms considered in our energy allow for separate control of surface tension, anchoring, and elasticity contrast, and are used to analyze recent results for lyotropic chromonic liquid crystals. The latter display unusually large defect cores (on the order of tens of microns) which can be used for a quantitative comparison with the theory. Both $pm 1/2$ disclination configurations are well reproduced by our calculations. Elastic anisotropy is also shown to lead to qualitative changes in the disclination polarization, a quantity that is proportional to the active stress in models of active matter." @default.
- W3045798317 created "2020-08-03" @default.
- W3045798317 creator A5022949383 @default.
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- W3045798317 date "2020-07-30" @default.
- W3045798317 modified "2023-09-26" @default.
- W3045798317 title "Anisotropic disclination cores in nematic liquid crystals modeled by a self-consistent molecular field theory" @default.
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- W3045798317 doi "https://doi.org/10.1103/physreve.102.010701" @default.
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