Variational principle for the distribution function of the effective field for the random Ising model in the Bethe approximation |
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Authors: | T Morita |
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Institution: | Department of Applied Science, Faculty of Engineering, Tohoku University, Sendai 980, Japan |
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Abstract: | We study the random Ising model in the pair approximation of the cluster variation method. We show that the distribution function of the effective field is determined either by a reducibility condition of the distribution function of two sites to that of one site or by a stationarity condition of the averaged free energy. |
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