Prog. Theor. Phys. Vol. 18 No. 4 (1957) pp. 357-366

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A Lattice Model of Liquid Helium, III

— Equilibrium Properties of Liquid He⁴ and Mixtures of He⁴ and He³ —

Hirotsugu Matsuda

Quantum Chemistry Laboratory, Chemistry Department, Kyoto University, Kyoto

(Received June 10, 1957)

Abstract:

The partition function of the lattice model of liquid He⁴ developed in the preceding papers^{1), 2)} is shown to be derived by determining the form of a universal function of one variable so far as one admits three assumptions previously made. Instead of determining the function by using Kikuchi's approximation as before, the determination is made here by making use of the experimental values of heat capacity at various temperatures under saturated vapour pressure together with two other thermodynamical data at the λ-point. Comparison of the values thus derived with experimental ones is made for various thermodynamical quantities of pure liquid He⁴ and of mixtures of He⁴ and He³. The agreements are good, and a consistent explanation of various peculiar properties of this liquid is obtained.

URL : http://ptp.ipap.jp/link?PTP/18/357/
DOI : 10.1143/PTP.18.357

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Citing Article(s) :

Progress of Theoretical Physics Vol. 20 No. 5 (1958) pp. 614-624 :
Bose-Einstein Lattice Gases Equivalent to the Heisenberg Model of Ferro-, Antiferro- and Ferri-Magnetism

Tohru Morita
Progress of Theoretical Physics Vol. 46 No. 5 (1971) pp. 1337-1359 :
Relationship among Exactly Soluble Models of Critical Phenomena. I

Masuo Suzuki

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