Dynamics of two colloidal particles immersed in a nematic liquid crystal

Abstract

The dynamic equations of a colloidal particle with a homotropic anchoring are solvedin the presence of another fixed particle, when hyperbolic hedgehog defects arecreated on one or other side of them. The velocities of the particles are obtainedin terms of the parameter ; then a polar equation of the path is calculated forq = 3/2. The same procedure has also been used for colloidal particles with a planar anchoring toobtain the velocity and path of a moving particle.