Dielectric shape dispersion and biaxial transitions in nematic liquid crystals

André M. Sonnet, Epifanio G. Virga, and Georges E. Durand
Phys. Rev. E 67, 061701 – Published 11 June 2003
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Abstract

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.

  • Received 4 December 2002

DOI:https://doi.org/10.1103/PhysRevE.67.061701

©2003 American Physical Society

Authors & Affiliations

André M. Sonnet

  • Department of Mathematics, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH, Scotland

Epifanio G. Virga

  • Dipartimento di Matematica, Istituto Nazionale di Fisica della Materia, Università di Pavia, Via Ferrata 1, 27100 Pavia, Italy

Georges E. Durand

  • Laboratoire de Physique des Solides associé au CNRS (LA2), Université Paris–Sud, F-91405 Orsay Cedex, France

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Vol. 67, Iss. 6 — June 2003

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