Statistical Mechanics of Mixtures of Bose-Einstein and Fermi-Dirac Systems

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Abstract
Full quantum corrections are applied to Mayer's recent extension of statistical thermodynamics to the multi‐component liquid phase. The resulting formulae are too general in nature to permit quantitative interpretation, but qualitatively, in the case of Bose‐Einstein systems, the theory predicts a typical lambda‐point condensation in momentum space. A Fermi‐Dirac isotopic component dissolved to small concentrations in a Bose‐Einstein liquid phase, like He3 in He4, is shown to behave to a first approximation independently of the Bose‐Einstein degeneracy of the solvent at all temperatures above the lambda‐point. The theory appears unable to handle the situation below the lambda‐point.

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