A fast Q-tensor method [1-3] which applies the temperature energy term to the Dickman's tensor form [4] can successfully model the configuration of the liquid crystal (LC) director fields containing defects of a LC cell. In this paper, we added the surface anchoring energy term based on the Rap-inni - Papoular equation [5] to the fast Q-tensor method so that can model the nucleation and motion of the defect in the LC cell by using the fast Q-tensor method with surface anchoring energy term.
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