Related Experiment Video
Updated: Aug 14, 2026

Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow
Published on: February 27, 2016
Monte Carlo study of the vector Blume-Emery-Griffiths model for 3He--4He mixtures in three dimensions
R T S Freire1, S J Mitchell, J A Plascak
1Center for Simulational Physics, University of Georgia, Athens, GA 30602, USA. rfeire@fisica.ufmg.br
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.
Related Concept Videos
Mixtures of Gases: Dalton's Law of Partial Pressures and Mole Fractions
The Thermodynamics of Mixing
The Kinetic Model of Gases
Homogeneous Equilibria for Gaseous Reactions
For gas-phase reactions, the equilibrium constant may be expressed in terms of either the molar concentrations (Kc) or partial pressures (Kp) of the reactants and products. A relation between these two K values may be simply derived from the ideal gas equation and the definition of molarity. According to the ideal gas equation:
Equations of Equilibrium in Three Dimensions
According to the vector equations of equilibrium, the vector sum of all the external forces acting on a body must...
Heat Capacities of an Ideal Gas III
