Critical points of the Onsager functional on a sphere

I Fatkullin, [No Value] Slastikov, Valeriy Slastikov

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

61 Citations (Scopus)

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
Pages (from-to)2565-2580
Number of pages16
JournalNonlinearity
Volume18
Issue number6
DOIs
Publication statusPublished - Nov 2005

Keywords

  • SMOLUCHOWSKI EQUATION
  • STEADY-STATES
  • LIQUID
  • POLYMERS
  • FLOWS

Cite this