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Prog. Theor. Phys. Vol. 27 No. 5 (1962) pp. 1025-1062
Some Remarks on the Theory of Condensation
— Generalized Ring and Generalized Netted Chain Approximations
—
Takesi Yosida and
Kazuyosi Ikeda
Physics Department, Faculty of Science, Kyusyu University, Hukuoka
(Received October 2, 1961)
Abstract:
Some discussions are given of the condensation of gasses for which the irreducible cluster integrals have approximate expressions. The case of the ring approximation was previously treated. The present paper is concerned with the generalized ring approximation and the generalized netted chain approximation, which are both better than the ring approximation. The singularity of the virial expansion, the point of condensation, the horizontal condensation line, and the two-phase separation are discussed. It is concluded that the defect in the case of the ring approximation (that is, the continuity of the slope of the isotherm at the starting point of condensation for all sufficiently low temperatures) still remains in these improved approximations, provided that we are treating the (0)-system, i. e. the system with volume-independent cluster integrals. By making a parameter in the approximation tend to infinity, a remark is given on the analytical properties of the condensation point in the rigorous treatment of the (0)-system.
URL :
http://ptp.ipap.jp/link?PTP/27/1025/
DOI : 10.1143/PTP.27.1025
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