Asymptotic limit for the isotropic-nematic problem with anisotropic elasticity
Fanghua Lin, Wei Wang, Zhifei Zhang
Abstract
We consider the isotropic-nematic interface problem for liquid crystals based on the Landau-de Gennes model. We show that when the anisotropic elastic constant L2 is negative, then the surface tension strength of the isotropic-nematic interface is proportional to L1+23L2, and the homeotropic alignment is more favored near the interface. This result gives a rigorous confirmation for de Gennes' formal derivation in deGen1971 on the isotropic-nematic tension strength and the anchoring alignment condition in the case of L2<0.
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