On spatial variations of nematic ordering

Ibrahim Fatkullin, Valeriy Slastikov

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We present a theory of orientational order in nematic liquid crystals which interpolates between several distinct approaches based on the director field (Oseen and Frank), order parameter tensor (Landau and de Gennes), and orientation probability density function (Onsager). As in density-functional theories, the suggested free energy is a functional of spatially-dependent orientation distribution, however, the nonlocal effects are taken into account via phenomenological elastic terms rather than by means of a direct pair-correlation function. In illustration of this approach we consider a simplified model with orientation parameter on a circle and reveal its relation to the complex Ginzburg-Landau theory.

Original languageEnglish (US)
Pages (from-to)2577-2586
Number of pages10
JournalPhysica D: Nonlinear Phenomena
Issue number20
StatePublished - Oct 15 2008


  • Liquid crystals
  • Nematics
  • Spatial patterns

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics


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