Bifurcation analysis and computer simulation for biaxial liquid crystals

G. De Matteis

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    55 Citations (Scopus)

    Abstract

    We extend the analysis of a mean-field model for biaxial liquid crystals recently proposed by Sonnet et al. [Phys. Rev. E 67, 061701 (2003)]. In particular, we perform a bifurcation analysis of the equilibrium equations and derive the complete phase diagram. We show that two order parameters suffice to label all equilibrium phases, though they exhibit different bifurcation patterns. A Monte Carlo simulation study is performed as well, confirming qualitatively the predictions of this analysis.
    Original languageEnglish
    JournalPhysical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
    Volume72
    Issue number4
    DOIs
    Publication statusPublished - 12 Oct 2005

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    Keywords

    • bifurcation analysis
    • liquid crystals
    • physics
    • chemistry
    • computer simulation

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