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Article
One Order Parameter Tensor Mean Field Theory for Biaxial Liquid Crystals
Discrete and Continuous Dynamical Systems, Series B
  • Xiaoyu Zheng
  • Peter Palffy-Muhoray, Kent State University - Kent Campus
Publication Date
3-15-2011
Document Type
Article
DOI
10.3934/dcdsb.2011.15.475
Keywords
  • nematic phase-transition,
  • landau theory,
  • lattice model,
  • monte-carlo,
  • particles,
  • dynamics,
  • diagram,
  • fluid
Disciplines
Abstract

In this paper, we present a simple one tensor mean field model of biaxial nematic liquid crystals. The salient feature of our approach is that material parameters appear explicitly in the order parameter tensor. We construct the free energy from a mean field potential based on anisotropic dispersion interactions, identify the order parameter tensor and its elements, and obtain self-consistent equations, which are then solved numerically. The results are illustrated in a 3D ternary phase diagram. The phase behavior can be simply related to molecular parameters. The results may be useful for designing molecules that show a thermotropic biaxial phase.

Comments

Copyright 2011 American Institute of Mathematical Sciences. Available on publisher's site at http://dx.doi.org/10.3934/dcdsb.2011.15.475

Citation Information
Xiaoyu Zheng and Peter Palffy-Muhoray. "One Order Parameter Tensor Mean Field Theory for Biaxial Liquid Crystals" Discrete and Continuous Dynamical Systems, Series B Vol. 15 Iss. 2 (2011) p. 475 - 490
Available at: http://works.bepress.com/xiaoyu_zheng/4/