Prog. Theor. Phys. Vol. 55 No. 4 (1976) pp. 1082-1092

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Generalized Theory of Condensing Systems. VI

— Examples of Systems Satisfying the G-Condition —

Kazuyosi Ikeda

Department of Applied Physics, Faculty of Engineering, Osaka University, Suita, Osaka

(Received September 10, 1975)

Abstract:

The equation of state for gases and the condensation phenomena are investigated on the basis of the concept of cluster in statistical mechanics. First, a simple (but rather assumptive) system satisfying the G-condition (imposed on the volume-dependent cluster integrals for deducing condensation in a previous paper) is discussed. The system behaves as an ideal gas and condenses at a certain density, the condensation point being a “non-analytical” singularity. Next, sufficient conditions for the validity of the G-condition are given. They are concerned with the ratio of the volume-dependent cluster integral to the limiting cluster integral for infinite volume, and are considered to be satisfied by classical real systems. It is inferred that the condensation of classical real systems occurs at an “analytical” singularity.

URL : http://ptp.ipap.jp/link?PTP/55/1082/
DOI : 10.1143/PTP.55.1082

References:

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Citing Article(s) :

Journal of the Physical Society of Japan 61 (1992) pp. 1527-1534 :
Volume-Dependent Irreducible Cluster Sums and Phase Transition of Lattice Gases

Kunisuke Nisizima and Kazuyosi Ikeda
Progress of Theoretical Physics Vol. 56 No. 4 (1976) pp. 1343-1345 :
Volume-Dependent Cluster Sums for Lattice Gases. IV

Kunisuke Nisizima and Kazuyosi Ikeda
Progress of Theoretical Physics Vol. 60 No. 6 (1978) pp. 1653-1668 :
Generalized Theory of Condensing Systems. VII

Kazuyosi Ikeda
Progress of Theoretical Physics Vol. 65 No. 5 (1981) pp. 1542-1564 :
Statistical Mechanics of One-Dimensional Systems. I

Kazuyosi Ikeda and Takehiko Takano
Progress of Theoretical Physics Vol. 71 No. 4 (1984) pp. 689-706 :
Phase Transitions of Lattice Gases

Kunisuke Nisizima and Kazuyosi Ikeda