Simple model for biaxial smectic-A liquid-crystal phases

P.I.C. Teixeira, Mikhail Osipov, G.R. Luckhurst

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


We have generalized the McMillan theory of liquid crystalline smectic order in uniaxial particle fluids to biaxial particles. Upon varying the control parameter, a uniaxial nematic phase may: (i) order biaxially first, then smectically; (ii) order smectically first, then biaxially; and (iii) simultaneously order biaxially and smectically. We investigate, in the limit of complete orientational order of the molecular major axes, which of these scenarios are realized for a simple model of particles with the symmetry of rectangular parallelepipeds. We also present a generic variational derivation of the theory based on the identification of the dominant order parameters for the most ordered phase.
Original languageEnglish
Pages (from-to)061708
Number of pages14
JournalPhysical Review E
Issue number6
Publication statusPublished - 16 Jun 2006


  • system
  • molecular-field-theory
  • nematic liquid
  • monte-carlo
  • x-ray
  • transition
  • particles
  • mixtures
  • simulation
  • symmetry


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