The structure and thermodynamic properties of the quantum liquids 4He and H2 near the liquid-gas critical point are calculated with the effective potential approximation, in which the two-body Slater sum replaces the Boltzmann factor; the statistical mechanics problem is formally equivalent to that of a fictitious classical fluid. Approximate integral equation methods from the theory of classical fluids are then used to calculate the critical point parameters and the radial distribution function g(r). The results from the approximate integral equations are compared both with experimental data and with the results of an exact Monte Carlo calculation for the fictitious fluid for a range of densities at the temperatures 7 and 8 K in 4He and 36 and 40 K in H2.
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Work supported in part by the National Science Foundation.
Work supported in part by the National Research Council of Canada.
Work supported in part by the National Science Foundation Award No. SMI77-17458.
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Bruch, L.W., McGee, I.J. & Murphy, R.D. Quantum mechanical law of corresponding states. J Low Temp Phys 35, 185–204 (1979). https://doi.org/10.1007/BF00121729
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DOI: https://doi.org/10.1007/BF00121729