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Phase Transition of Husimi-Temperley Model of Imperfect Gas

1955/06/01 by Shigetoshi Katsura · 1 citation
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Material Science and Thermodynamics #Phase Equilibria and Thermodynamics

paper · pdf · doi:10.1143/ptp.13.571

crossref issued 1955/06/01 · crossref published 1955/06/01 · crossref published-print 1955/06/01 · openalex publication_date 1955/06/01 · crossref created 2006/02/24 · crossref deposited 2017/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/19 · crossref indexed 2026/07/25

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.

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