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The Oguchi upper bound on the magnetization for ferromagnetic Ising models

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Abstract

The Oguchi approximation is shown to give an upper bound on the magnetization for spin-1/2 Ising models with arbitrary ferromagnetic pair couplings. The resulting bound on the critical temperature is shown to better than the mean field bound. For ferromagnetic spin-1/2 models where the three-body approximation predicts a unique magnetization, this too is shown to give a magnetization bound and an even better bound on the critical temperature.

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Authors and Affiliations

  1. California Institute of Technology, 91125, Pasadena, California

    Byron Siu

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  1. Byron Siu
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Additional information

Work supported in part by U.S. NSF contract No. MCS-81-20833 and by Department of Energy contract No. DEAC-03-81-ER40050.

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Siu, B. The Oguchi upper bound on the magnetization for ferromagnetic Ising models. J Stat Phys 38, 519–530 (1985). https://doi.org/10.1007/BF01010475

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  • DOI: https://doi.org/10.1007/BF01010475

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