Bifurcation analysis and computer simulation for biaxial liquid crystals

G. De Matteis

doi:10.1103/PhysRevE.72.041706

Bifurcation analysis and computer simulation for biaxial liquid crystals

G. De Matteis

Research output: Contribution to journal › Article › peer-review

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 language	English
Journal	Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	72
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.72.041706
Publication status	Published - 12 Oct 2005

Keywords

bifurcation analysis
liquid crystals
physics
chemistry
computer simulation

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10.1103/PhysRevE.72.041706

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AB - 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.

KW - bifurcation analysis

KW - liquid crystals

KW - physics

KW - chemistry

KW - computer simulation

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DO - 10.1103/PhysRevE.72.041706

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JO - Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

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ER -

Bifurcation analysis and computer simulation for biaxial liquid crystals

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Keywords

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