Journal
LIQUID CRYSTALS
Volume 36, Issue 10-11, Pages 1201-1214Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/02678290903056095
Keywords
Landau-de Gennes free energy; colloids; liquid crystal; modelling; structures
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Phenomenological Landau-de Gennes modelling based on the free energy of nematic liquid crystal colloids is reviewed. Nematic phase, gradient of order, and surface anchoring contributions to the total free energy are used. The numerical finite difference relaxation technique is explained as an efficient tool for the minimisation of the free energy. Effects of the mesh and mesh allocation are discussed. Various conceptually different colloidal structures are calculated to show the universality of the model. Single particles, dipolar-quadrupolar dimers, entangled dimers, dimers bound by escaped hyperbolic rings, and hierarchically patterned Saturn-ring colloidal superstructures are presented.
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