Critical points of the Onsager functional on a sphere

I. Fatkullin, V. Slastikov

Research output: Contribution to journalArticle

56 Scopus citations

Abstract

We study Onsager's model of isotropic-nematic phase transitions with orientation parameter on a sphere. We consider two interaction potentials: the antisymmetric (with respect to orientation inversion) dipolar potential and symmetric Maier-Saupe potential. We prove the axial symmetry and derive explicit formulae for all critical points, thus obtaining their complete classification. Finally, we investigate their stability and construct the corresponding bifurcation diagrams.

Original languageEnglish (US)
Pages (from-to)2565-2580
Number of pages16
JournalNonlinearity
Volume18
Issue number6
DOIs
StatePublished - Nov 1 2005

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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