Due to their anisotropy, elastic response and topological properties of defects, liquid crystals have a key role in studies of shape-switching and self-assembling materials. Such materials are being studied on several systems, among others on the liquid crystal colloids, liquid crystal suspensions etc. Systems where two anisotropic materials are in contact, like a mixture of discotic and calamitic liquid crystals or a mixture of thermotropic and lyotropic liquid crystals, remain a harder challenge and so studies of such mixtures are rare. In this master thesis, numerical modeling was used to investigate a contact region between two nematic phases, where diverse interactions among the constituent parts of both phases can occur. Various possible couplings between the surface and the order parameters of both phases were explored on a system of a cholesteric droplet surrounded by an outside nematic, and properties of resulting defect structures were studied. In anticipation of reproducing the unpublished experimental results from researchers of the Jožef Stefan Institute, different combinations of couplings were also explored on a system of two nematic droplets surrounded by an outside nematic. In addition to investigating the interface between the two nematic phases, a possibility of varying the droplet shape in simulation was also demonstrated on two test cases.
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