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Monte Carlo Analysis of the lsing Model and CAM

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Computer Simulation Studies in Condensed Matter Physics III

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 53))

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Abstract

A cluster-effective-field approximation, namely a modified Bethe approximation, is proposed which is canonical in the CAM sense. This is easier to treat theoretically and to calculate explicitly than the previous cluster-Bethe approximation. The Weiss and modified Bethe approximations for the lsing ferromagnets on the square and simple cubic lattices are solved by the Monte Carlo method and the CAM coefficients of susceptibility and magnetization are obtained. We have estimated the critical point and critical exponent of susceptibility with good precision. It is observed that the cluster-Weiss approximation does not show good CAM scaling. It produces misleading values of exponents from the CAM coefficients of the clusters we have calculated. Our modified Bethe approximation can be easily expended to the super-effective-field theory and will be useful for studying exotic phase transitions.

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Author information

Authors and Affiliations

  1. Department of Physics, Faculty of Science, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113, Japan

    N. Ito & M. Suzuki

Authors
  1. N. Ito
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  2. M. Suzuki
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Editor information

Editors and Affiliations

  1. Center for Simulation Physics, The University of Georgia, Athens, GA, 30602, USA

    David P. Landau Ph.D , K. K. Mon Ph.D  & Heinz-Bernd Schüttler Ph.D ,  & 

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© 1991 Springer-Verlag Berlin Heidelberg

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Ito, N., Suzuki, M. (1991). Monte Carlo Analysis of the lsing Model and CAM. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed Matter Physics III. Springer Proceedings in Physics, vol 53. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76382-3_3

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  • DOI: https://doi.org/10.1007/978-3-642-76382-3_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-76384-7

  • Online ISBN: 978-3-642-76382-3

  • eBook Packages: Springer Book Archive

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