Deformable vesicles interacting in a nematic liquid crystal

Using a lattice-Boltzmann algorithm, we investigate the behavior of 2D deformable vesicles immersed in a nematic liquid crystal. We represent our particles using a bead-spring model, with both linear and angular springs, and assume homeotropic anchoring of the liquid crystal at the particle surface. The resulting liquid crystal defects and distortions lead to a non-uniform pressure exerted on the particle surface, accompanied by a deformation of its shape. We present the resulting equilibrium shapes for a range of surface elasticities, and investigate the interactions between pairs of vesicles.