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Anisotropic disclination cores in nematic liquid crystals modeled by a self-consistent molecular field theory

Cody D. Schimming and Jorge Viñals
Phys. Rev. E 102, 010701(R) – Published 30 July 2020

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 Dzyaloshinskii for the Frank-Oseen energy far from the defect core, but reveal biaxial order at intermediate distances from the core, crossing over to uniaxial but axisymmetric configurations as the core is approached. The elastic terms considered in our energy allow for the 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 ±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.

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  • Received 4 June 2020
  • Accepted 13 July 2020

DOI:https://doi.org/10.1103/PhysRevE.102.010701

©2020 American Physical Society

Physics Subject Headings (PhySH)

Polymers & Soft Matter

Authors & Affiliations

Cody D. Schimming* and Jorge Viñals

  • School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA

  • *schim111@umn.edu

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Issue

Vol. 102, Iss. 1 — July 2020

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