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December 2009 Vortices in two-dimensional nematics
Ibrahim Fatkullin, Valeriy Slastikov
Commun. Math. Sci. 7(4): 917-938 (December 2009).


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.


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Ibrahim Fatkullin. Valeriy Slastikov. "Vortices in two-dimensional nematics." Commun. Math. Sci. 7 (4) 917 - 938, December 2009.


Published: December 2009
First available in Project Euclid: 25 January 2010

zbMATH: 1187.82035
MathSciNet: MR2604622

Primary: 82B21 , 82B26 , 82D30

Keywords: Liquid crystals , nematics , spatial patterns , vortices

Rights: Copyright © 2009 International Press of Boston

Vol.7 • No. 4 • December 2009
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