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Monte Carlo study of the XY vector Blume-Emery-Griffiths model for He3He4 mixtures in three dimensions

R. T. S. Freire1,2,*, S. J. Mitchell1,†, J. A. Plascak1,2,‡, and D. P. Landau1,§

  • 1Center for Simulational Physics, University of Georgia, Athens, GA 30602, USA
  • 2Departamento de Física-ICEx, Universidade Federal de Minas Gerais Caixa Postal 702, 30123-970 Belo Horizonte, MG, Brasil

  • *Electronic address: rfeire@fisica.ufmg.br
  • †Electronic address: smitchell@hal.physast.uga.edu
  • ‡Electronic address: pla@fisica.ufmg.br
  • §Electronic address: dlandau@hal.physast.uga.edu
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Phys. Rev. E 72, 056117 – Published 15 November, 2005

DOI: https://doi.org/10.1103/PhysRevE.72.056117

Abstract

A version of the Vector Blume-Emery-Griffiths model with three-dimensional spins was studied on a simple cubic lattice by Monte Carlo simulations. We obtained the phase diagram, which reproduces, for a range of the parameters of the model, the topology of the one observed for bulk mixtures of He3He4. The phase diagram displays a superfluid, He4-rich phase which undergoes a phase transition to a normal phase. This transition is first or second order, depending on the region of the phase diagram examined. One of the main features of this diagram is the existence of a tricritical point, which, for some values of the parameters of the model, decomposes into a critical endpoint and a double critical endpoint. These points were located with reasonable precision. This study provides the basis for the subsequent study of dynamic properties of He3He4 mixtures.

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Phys. Rev. E 72, 056117– Published 15 November, 2005
  • Received 6 July 2005

© 2005 American Physical Society

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