Vortices in two-dimensional nematics

I Fatkullin, V Slastikov

Research output: Contribution to journalArticle (Academic Journal)peer-review

11 Citations (Scopus)


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 asymptotic expansion for the free energy of the system.
Translated title of the contributionVortices in two-dimensional nematics
Original languageEnglish
Pages (from-to)917 - 938
Number of pages22
JournalCommunications in Mathematical Sciences
Volume7, issue 4
Publication statusPublished - Dec 2009


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