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Prog. Theor. Phys. Vol. 17 No. 1 (1957) pp. 19-29

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A Lattice Model of Liquid Helium, II

Hirotsugu Matsuda and Takeo Matsubara*

Quantum Chemistry Laboratory, Chemistry Department, Kyoto University, Kyoto
*Research Institute for Fundamental Physics, Kyoto University, Kyoto

(Received August 28, 1956)

Abstract:

The partition function of the lattice model of liquid helium introduced in the preceding paper is calculated by making use of the Kikuchi's approximation. Setting two parameters, the effective mass m = 1/7m0 (m0 is the mass of He atom), and the lattice spacing d = 3.1Å, an excellent agreement of the density dependence of λ-temperature with experiment is obtained. The general trend of other thermodynamical quantities calculated in this paper is in good accordance with the observation.


URL : http://ptp.ipap.jp/link?PTP/17/19/
DOI : 10.1143/PTP.17.19

[ Full Text PDF : FREE ACCESS (719K) ] Citation:

References:

  1. T. Matsubara and H. Matsuda, Prog. Theor. Phys. 16 (1956), 569[PTP].
  2. R. Kikuchi, Phys. Rev. 81 (1951), 988[APS]; Phys. Rev. 96 (1954), 563[APS].
  3. P. R. Feyman, Phys. Rev. 90 (1953), 1116[APS]; Phys. Rev. 91 (1953), 1291[APS].
  4. W. H. Keesom “Helium” Elsevier Publishing Company, Amsterdam (1942).

Citing Article(s) :

  1. Journal of the Physical Society of Japan 57 (1988) pp. 2080-2085 :
    Roton-Like Excitation in Quantum Lattice Model
    Toshizumi Aoki
  2. Journal of the Physical Society of Japan 58 (1989) pp. 1312-1319 :
    The Superfluid Transition of 4He Adsorbed in Zeolite –A Theoretical Study Based on the Quantum Lattice Gas Model–
    Ippei Doi
  3. Progress of Theoretical Physics Vol. 18 No. 4 (1957) pp. 357-366 :
    A Lattice Model of Liquid Helium, III
    Hirotsugu Matsuda
  4. Progress of Theoretical Physics Vol. 18 No. 5 (1957) pp. 462-466 :
    On the Lattice Model of Liquid Helium proposed by Matsubara and Matsuda
    Tohru Morita
  5. Progress of Theoretical Physics Vol. 19 No. 1 (1958) pp. 57-68 :
    On the Form Factor of Liquid He4 at Absolute Zero, I
    Ryuzo Abe
  6. 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
  7. Progress of Theoretical Physics Vol. 38 No. 2 (1967) pp. 322-331 :
    Singularity of Specific Heat in the Second Order Phase Transition
    Ryuzo Abe
  8. Progress of Theoretical Physics Vol. 40 No. 4 (1968) pp. 706-733 :
    Dynamics of Critical Fluctuations. III
    Kyozi Kawasaki
  9. Progress of Theoretical Physics Vol. 43 No. 5 (1970) pp. 1148-1169 :
    A Phenomenological Model of Cooperativity
    N. E. Frankel
  10. Progress of Theoretical Physics Vol. 46 No. 5 (1971) pp. 1337-1359 :
    Relationship among Exactly Soluble Models of Critical Phenomena. I
    Masuo Suzuki
  11. Progress of Theoretical Physics Vol. 78 No. 3 (1987) pp. 552-561 :
    On the Superfluid Transition of 4He in Restricted Geometries
    Tomoki Minoguchi and Yosuke Nagaoka

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