TY - JOUR

T1 - Interaction between particles in a nematic liquid crystal

T2 - Numerical study using the Landau-de Gennes continuum theory

AU - Fukuda, Junichi

AU - Yokoyama, Hiroshi

AU - Yoneya, Makoto

AU - Stark, Holger

PY - 2005/12/1

Y1 - 2005/12/1

N2 - 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.

AB - 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.

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U2 - 10.1080/15421400590956045

DO - 10.1080/15421400590956045

M3 - Article

AN - SCOPUS:33644756608

SN - 1542-1406

VL - 435

JO - Molecular Crystals and Liquid Crystals

JF - Molecular Crystals and Liquid Crystals

ER -