title: Monte Carlo study of the vector Blume-Emery-Griffiths model for 3He--4He mixtures in three dimensions.
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 3He--4He. The phase diagram displays a superfluid, 4He-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 3He--4He mixtures.
authors.affiliation: Center for Simulational Physics, University of Georgia, Athens, GA 30602, USA. rfeire@fisica.ufmg.br
authors.forename: R T S
authors.initials: RT
authors.lastname: Freire
authors.forename: S J
authors.initials: SJ
authors.lastname: Mitchell
authors.forename: J A
authors.initials: JA
authors.lastname: Plascak
authors.forename: D P
authors.initials: DP
authors.lastname: Landau