Abstract
We study a two-dimensional model describing spatial variations of orientational ordering in nematic liquid crystals. In particular, we show that the spatially extended Onsager-Maier-Saupe free energy may be decomposed into Landau-de Gennes-type and relative entropy-type contributions. We then prove that in the high concentration limit the states of the system display characteristic vortex-like patterns and derive an asymptotic expansion for the free energy of the system.
Citation
Ibrahim Fatkullin. Valeriy Slastikov. "Vortices in two-dimensional nematics." Commun. Math. Sci. 7 (4) 917 - 938, December 2009.
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