Vortices in two-dimensional nematics
Fatkullin, Ibrahim ; Slastikov, Valeriy
Commun. Math. Sci., Tome 7 (2009) no. 1, p. 917-938 / Harvested from Project Euclid
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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.
Publié le : 2009-12-15
Classification:  Liquid crystals,  nematics,  spatial patterns,  vortices,  82B21,  82B26,  82D30 
@article{1264434138,
     author = {Fatkullin, Ibrahim and Slastikov, Valeriy},
     title = {Vortices in two-dimensional nematics},
     journal = {Commun. Math. Sci.},
     volume = {7},
     number = {1},
     year = {2009},
     pages = { 917-938},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1264434138}
}

Fatkullin, Ibrahim; Slastikov, Valeriy. Vortices in two-dimensional nematics. Commun. Math. Sci., Tome 7 (2009) no. 1, pp.  917-938. http://gdmltest.u-ga.fr/item/1264434138/