Vortices in two-dimensional nematics

Ibrahim Fatkullin, Valeriy Slastikov

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)917-938
Number of pages22
JournalCommunications in Mathematical Sciences
Issue number4
StatePublished - Dec 2009


  • Liquid crystals
  • Nematics
  • Spatial patterns
  • Vortices

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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