Mixtures of Nanoparticles and Liquid Crystal Phases Exhibiting Topological Defects

We study theoretically mixtures of liquid crystals (LCs) and nanoparticles (NPs) at a mesoscopic level. Orientational LC ordering is given in terms of a tensor order parameter. We estimate conditions which favor or disfavor phase separation. We show under which conditions topological defect could be exploited as trapping centers for nanoparticles. Influence of Defect Core Replacement mechanism on phase stability of a structure possessing topological defect is demonstrated.