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Prog. Theor. Phys. Supplement No.80 (1984) pp. 103-107
Convergence of the Cluster Variation Method for Random Ising Models in the Thermodynamic Limit
Tohru Morita
Department of Engineering Science, Faculty of Engineering, Tohoku University, Sendai 980
(Received April 30, 1984)
Abstract:
Schlijper [Phys. Rev. B 27 (1983), 6841] studied the variational principle in the cluster variation method of cooperative phenomena and proved that the values of the free energy obtained in successive approximations of that method converge to the exact free energy in the thermodynamic limit. His result is extended to the random Ising model.
URL :
http://ptp.ipap.jp/link?PTPS/80/103/
DOI : 10.1143/PTPS.80.103
References:
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R. Kikuchi, Phys. Rev. 81 (1951), 988[APS].
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A. G. Schlijper, Phys. Rev. B 27 (1983), 6841[APS].
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T. Morita, J. Math. Phys. 5 (1964), 1401[CrossRef].
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R. P. Feynmann, Statistical Mechanics, A Set of Lectures (1972, W. A. Benjamin, Inc., Reading, Mass.), p. 67.
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T. Morita, J. Phys. Soc. Jpn. 12 (1957), 753[JPSJ];
J. Math. Phys. 13 (1972), 115[CrossRef].
