期刊
MOLECULAR CRYSTALS AND LIQUID CRYSTALS
卷 435, 期 -, 页码 723-734出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/15421400590956045
关键词
colloid; elastic deformation; interaction; Landau-de Gennes theory; nematic liquid crystal; stress tensor
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 proportional to 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 similar or equal to 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 similar or equal to 3.6, slightly stronger than the dipole-dipole interaction.
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