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Surface tension in the Ising model

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Abstract

We investigate the problem of a microscopic definition of the surface of separation between two phases in the special case of the 2-dimensional Ising model. We show how this leads to a definition of the surface tension which appears, in this context, as the logarithm of a partition function over a set of random surfaces. We also discuss the more general problem of defining the surface tension in an Ising ferromagnet with arbitrarily extended attractive interaction.

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References

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Authors and Affiliations

  1. Istituto di Matematica dell'Università di Roma, Italia

    G. Gallavotti

  2. Department of Mathematics, Rockefeller University, New York, New York, USA

    A. Martin-Löf

  3. Mathematics Dept., Royal Institute of Technology, S-10044, Stockholm 70, Sweden

    A. Martin-Löf

Authors
  1. G. Gallavotti
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  2. A. Martin-Löf
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Gallavotti, G., Martin-Löf, A. Surface tension in the Ising model. Commun.Math. Phys. 25, 87–126 (1972). https://doi.org/10.1007/BF01877515

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  • DOI: https://doi.org/10.1007/BF01877515

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