Landau theory for biaxial nematic liquid crystals with two order parameter tensors

G. De Matteis, A.M. Sonnet, E.G. Virga

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

We present a phenomenological theory for the homogeneous phases of nematic liquid crystals constituted by biaxial molecules. We propose a general polynomial potential in two macroscopic order parameter tensors that reproduces the mean-field phase diagram confirmed by Monte Carlo simulations [De Matteis et al. in Phys Rev E 72:041706 (2005)] and recently recognized to be universal [Bisi et al. in Phys Rev E 73:051709 (2006)] for dispersion force molecular pair-potentials enjoying the D 2h symmetry. The requirement that the phenomenological theory comply uniquely with this phase diagram reduces considerably the admissible phenomenological coefficients, both in their number and in the ranges where they can vary.
LanguageEnglish
Pages347-374
Number of pages27
JournalContinuum Mechanics and Thermodynamics
Volume20
Issue number6
DOIs
Publication statusPublished - Dec 2008

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Nematic liquid crystals
Phase diagrams
Tensors
liquid crystals
phase diagrams
tensors
polynomials
Polynomials
requirements
Molecules
symmetry
coefficients
molecules
simulation
Monte Carlo simulation

Keywords

  • biaxial liquid crystals
  • nematic phases
  • landau theory
  • 61
  • 30
  • Cz
  • Dk

Cite this

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Landau theory for biaxial nematic liquid crystals with two order parameter tensors. / De Matteis, G.; Sonnet, A.M.; Virga, E.G.

In: Continuum Mechanics and Thermodynamics, Vol. 20, No. 6, 12.2008, p. 347-374.

Research output: Contribution to journalArticle

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AU - Virga, E.G.

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AB - We present a phenomenological theory for the homogeneous phases of nematic liquid crystals constituted by biaxial molecules. We propose a general polynomial potential in two macroscopic order parameter tensors that reproduces the mean-field phase diagram confirmed by Monte Carlo simulations [De Matteis et al. in Phys Rev E 72:041706 (2005)] and recently recognized to be universal [Bisi et al. in Phys Rev E 73:051709 (2006)] for dispersion force molecular pair-potentials enjoying the D 2h symmetry. The requirement that the phenomenological theory comply uniquely with this phase diagram reduces considerably the admissible phenomenological coefficients, both in their number and in the ranges where they can vary.

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