Generalized Theory of Condensing Systems. II : Description in Terms of Irreducible Cluster Integrals
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概要
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The volume-dependent irreducible cluster integrals, which are defined as integrals of certain functions for systems satisfying some physical conditions, are introduced into the generalized theory of condensing systems. The irreducible cluster integrals are assumed to satisfy certain mathematical conditions which are considered to represent the essential features of the real systems, and which are similar to the conditions imposed on the cluster integrals in the previous paper I. By means of a suitable border-line function k(l), the sizes of irreducible clusters are classified into "large" and "small." Then, after some discussions of the "large" and "small" irreducible clusters, it is proved that, in one temperature range, the "huge" cluster (where "huge" means "comparable to the total number of molecules" as in 1) consists of a "huge" irreducible cluster and "small" irreducible clusters, and, in the other range, it consists of "small" irreducible clusters only. Next the conditions imposed on the cluster integrals in I are deduced from the conditions for the irreducible cluster integrals in the present paper; thus the theorems (on the gaseous state, point of condensation, two-phase separation, horizontal line) proved in I are applied also to the present case. In virtue of the introduction of the irreducible cluster integrals, the present paper reaches some conclusions about the condensation point expressed in connection with the virial expansion and about a more detailed behaviour of the condensed phase coexisting with the saturated vapour.
- 理論物理学刊行会の論文
- 1966-07-31
著者
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Ikeda Kazuyosi
Department Of Applied Physics Faculty Of Engineering Osaka University
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Yosida Takesi
Physics Department Faculty Of Science Kyusyu University
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YOSIDA Takesi
Physics Department, Faculty of Science Kyusyu University
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Yoshida T.
Physics Department, Faculty of Science Kyusyu University
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