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Landau-de Gennes theory has been used to tackle the behaviour of faceted particles embedded in a nematic liquid crystal matrix, in this Hot Paper from researchers at McGill University, Canada. The 2D model used is based on the Landau-de Gennes equations of nematodynamics in the absence of flow. A critical feature in the liquid crystal-faceted particle system is the presence of corners, which are always decorated by active surface defects or are connected to other corners by disclination strings that have line tension.
P. M. Phillips, N. Mei, L. Reven and Alejandro Rey, Soft Matter, 2011, 7, 8592-8604.
