Interaction between particles in a nematic liquid crystal: Numerical study using the Landau-de Gennes continuum theory

Junichi Fukuda, Hiroshi Yokoyama, Makoto Yoneya, Holger Stark

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14 Citations (Scopus)

Abstract

We study numerically the interaction between particles in a nematic liquid crystal mediated by its elastic distortions with the aid of the Landau-de Gennes continuum theory. We consider the cases where two particles impose rigid normal anchoring on their surfaces and are accompanied by a hyperbolic hedgehog defect. As a function of the distance between the centers of the particles D, we evaluate the force f acting on the particles by integrating the stress tensor. The result is well described by a power law f α D-x. When the "dipoles", composed of a particle and a hyperbolic hedgehog, are in parallel directions, the interaction is attractive and the exponent is x ≃ 4, consistent with the experimental observations together with the theoretical expectation of the dipole-dipole interaction. For antiparallel dipoles, repulsive interaction is observed and x ≃ 3.6, slightly stronger than the dipole-dipole interaction.

Original languageEnglish
JournalMolecular Crystals and Liquid Crystals
Volume435
DOIs
Publication statusPublished - Dec 1 2005
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics

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