A NOTE ON THE ONSAGER MODEL OF NEMATIC PHASE TRANSITIONS ¤

I. Fatkullin, V. Slastikov

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

We study Onsager's free energy functional for nematic liquid crystals with an orientation parameter on a unit circle. For a class of interaction potentials we obtain explicit expressions for all critical points, analyze their stability, and construct the corresponding bifurcation diagram. We also derive asymptotic expansions of the equilibrium density of orientations near the critical and zero temperatures.

Original languageEnglish (US)
Pages (from-to)21-26
Number of pages6
JournalCommunications in Mathematical Sciences
Volume3
Issue number1
DOIs
StatePublished - 2005
Externally publishedYes

Keywords

  • Maier-saupe potential
  • Nematic phase transitions
  • Onsager model

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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