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Chaos and Order in Nature pp 144–153Cite as

Closed-Form Approximation and Interpolation Formulae for the 3-Dimensional Ising Model

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Part of the book series: Springer Series in Synergetics ((SSSYN,volume 11))

Abstract

The Ising model [1] has found more and more applications in many fields of science. Nevertheless the 3-dimensional model remains a puzzle for physicists since the celebrated ONSAGER solution [2] for the 2-dimensional case. At present time most of our knowledge on the 3-dimensional model comes mainly from various series expansions. Inasmuch as every new term in the series brings about a bit of exact information, the interest in seeking approximate solutions for the Ising model has been going down.

On leave from the Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing, China.

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References

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Author information

Authors and Affiliations

  1. Faculté des Sciences, Université Libre de Bruxelles, Campus Plaine U.L.B.C.P., 231, 1050, Bruxelles, Belgium

    Bai-lin Hao

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  1. Bai-lin Hao
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Editors and Affiliations

  1. Institut für Theoretische Physik, Universitä Stuttgart, Pfaffenwaldring 57/IV, D-7000, Stuttgart 80, Fed. Rep. of Germany

    Hermann Haken

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© 1981 Springer-Verlag Berlin Heidelberg

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Hao, Bl. (1981). Closed-Form Approximation and Interpolation Formulae for the 3-Dimensional Ising Model. In: Haken, H. (eds) Chaos and Order in Nature. Springer Series in Synergetics, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-68304-6_16

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  • DOI: https://doi.org/10.1007/978-3-642-68304-6_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-68306-0

  • Online ISBN: 978-3-642-68304-6

  • eBook Packages: Springer Book Archive

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