Dielectric shape dispersion and biaxial transitions in nematic liquid crystals

A.M. Sonnet, E.G. Virga, G.E. Durand

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110 Citations (Scopus)


Using two order tensors, we propose a mean-field model to describe the uniaxial and biaxial phases of nematogenic molecules presenting a shape dispersion of their biaxial dielectric susceptibility. We recover the classical isotropic-uniaxial-biaxial sequence of phases. The phase diagram exhibits a tricritical point, a feature that cannot be retraced in the other mean-field models established for molecules without shape dispersion.
Original languageEnglish
JournalPhysical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number6
Publication statusPublished - 11 Jun 2003


  • nematic liquid crystals
  • shape dispersion
  • uniaxial phases
  • biaxial phases
  • mathematics

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