Bifurcation analysis and computer simulation for biaxial liquid crystals

De Matteis, G. (2005) Bifurcation analysis and computer simulation for biaxial liquid crystals. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 72 (4). ISSN 2470-0053 (http://dx.doi.org/10.1103/PhysRevE.72.041706)

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.

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• Item metadata

  Item type:	Article
  ID code:	2226
  Dates:	Date Event 12 October 2005 Published
  Subjects:	Science > Physics
  Department:	Faculty of Science > Mathematics and Statistics > Mathematics
  Depositing user:	Strathprints Administrator
  Date deposited:	01 Dec 2006
  Last modified:	11 Nov 2024 08:32
  URI:	https://strathprints.strath.ac.uk/id/eprint/2226