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Prog. Theor. Phys. Vol. 13 No. 6 (1955) pp. 571-586

[ Full Text PDF : FREE ACCESS (1161K) ]

Phase Transition of Husimi-Temperley Model of Imperfect Gas

Shigetoshi Katsura

Department of Applied Science, Tohoku University, Sendai

(Received February 14, 1955)

Abstract:

The author considers Husimi-Temperley model of the imperfect gas, whose each particle interacts with all other particles. It is shown in this model that the analytic singular point zs of Mayer series by cluster integrals is not the condensation point, and that the isotherm obtained from the canonical partition function has a metastable part, while that from the grand partition function has a horizontal part. It is also shown that this model does not go beyond the scheme of the theories of Mayer, Yang-Lee, and Ikeda. Some remarks in the general case are discussed in connection with this model.


URL : http://ptp.ipap.jp/link?PTP/13/571/
DOI : 10.1143/PTP.13.571

[ Full Text PDF : FREE ACCESS (1161K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 16 No. 4 (1956) pp. 269-286 :
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  3. Progress of Theoretical Physics Vol. 20 No. 2 (1958) pp. 192-215 :
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  4. Progress of Theoretical Physics Vol. 25 No. 4 (1961) pp. 537-578 :
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  5. Progress of Theoretical Physics Vol. 38 No. 5 (1967) pp. 1182-1183 :
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  6. Progress of Theoretical Physics Vol. 38 No. 6 (1967) pp. 1225-1242 :
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  7. Progress of Theoretical Physics Vol. 42 No. 5 (1969) pp. 1086-1097 :
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  8. Progress of Theoretical Physics Vol. 51 No. 1 (1974) pp. 82-98 :
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  9. Progress of Theoretical Physics Vol. 52 No. 1 (1974) pp. 54-67 :
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  10. Progress of Theoretical Physics Vol. 65 No. 5 (1981) pp. 1542-1564 :
    Statistical Mechanics of One-Dimensional Systems. I
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  11. Progress of Theoretical Physics Vol. 68 No. 3 (1982) pp. 764-780 :
    Phase Transition in Fermion Lattice Gas with Infinite-Ranged Interaction. I
    Hikaru Kawamura
  12. Progress of Theoretical Physics Vol. 69 No. 2 (1983) pp. 415-430 :
    Statistical Mechanics of One-Dimensional Systems. III
    Takehiko Takano and Kazuyosi Ikeda

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