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Prog. Theor. Phys. Vol. 11 No. 4 (1954) pp. 476-492

[ Full Text PDF : FREE ACCESS (1165K) ]

On the Theory of Cooperative Phenomena

Shigetoshi Katsura

Department of Applied Science, Tohoku University

(Received October 15, 1953)

Abstract:

The partition function of the Ising lattice which has a small number of lattice points on each side (edge) has been obtained. Such a partition function is convenient to consider several general properties of the lattice because of its closed form. The effect of the external magnetic field, Curie point of the three-dimensional lattice, and the theory of condensation by cluster integrals are discussed.


URL : http://ptp.ipap.jp/link?PTP/11/476/
DOI : 10.1143/PTP.11.476

[ Full Text PDF : FREE ACCESS (1165K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 13 No. 6 (1955) pp. 571-586 :
    Phase Transition of Husimi-Temperley Model of Imperfect Gas
    Shigetoshi Katsura
  2. Progress of Theoretical Physics Vol. 16 No. 4 (1956) pp. 269-286 :
    On the Grand Canonical Distribution Method of Statistical Mechanics
    Tsunenobu Yamamoto and Hirotsugu Matsuda
  3. Progress of Theoretical Physics Vol. 20 No. 2 (1958) pp. 192-215 :
    Cluster Sums and Related Coefficients of the Ising Model
    Shigetoshi Katsura
  4. Progress of Theoretical Physics Vol. 25 No. 4 (1961) pp. 537-578 :
    A New Approach to the Theory of Classical Fluids. III
    Tohru Morita and Kazuo Hiroike
  5. Progress of Theoretical Physics Vol. 38 No. 6 (1967) pp. 1415-1417 :
    Distribution of Roots of the Partition Function in the Complex Temperature Plane
    Shigetoshi Katsura

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