Simple model for biaxial smectic-A liquid-crystal phases

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

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

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.
LanguageEnglish
Pages061708
Number of pages14
JournalPhysical Review E
Volume73
Issue number6
DOIs
Publication statusPublished - 16 Jun 2006

Fingerprint

Biaxial
Liquid Crystal
liquid crystals
First-order
parallelepipeds
Parallelepiped
Order Parameter
Control Parameter
derivation
Model
Liquid
Symmetry
Fluid
Scenarios
fluids
symmetry
liquids

Keywords

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

Cite this

Teixeira, P.I.C. ; Osipov, Mikhail ; Luckhurst, G.R. / Simple model for biaxial smectic-A liquid-crystal phases. In: Physical Review E. 2006 ; Vol. 73, No. 6. pp. 061708 .
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Simple model for biaxial smectic-A liquid-crystal phases. / Teixeira, P.I.C.; Osipov, Mikhail; Luckhurst, G.R.

In: Physical Review E, Vol. 73, No. 6, 16.06.2006, p. 061708 .

Research output: Contribution to journalArticle

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AB - 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.

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