Abstract
Normal and superfluid $^{3}\mathrm{\ensuremath{-}}^{4}$He mixtures are modeled by means of a binary alloy with one magnetic component. The tetrahedron approximation of the cluster-variation method, which takes into account four-body correlations, is used to calculate the complete temperature-concentration phase diagram of both equilibrium and random mixtures as well as the loci of all spinodal and instability lines. In particular, results for the concentration dependence of the superfluid-to-normal transition temperature, of the miscibility gap, and of the spinodal lines are presented. The superfluid-to-normal transition temperature of a chemically random mixture is also investigated for all concentrations. The corresponding percolation concentration is compared with values obtained in other approximations.
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