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Surface Terms on the Nishimori Line of the Gaussian Edwards-Anderson Model

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Abstract

For the Edwards-Anderson model we find an integral representation for some surface terms on the Nishimori line. Among the results are expressions for the surface pressure for free and periodic boundary conditions and the adjacency pressure, i.e., the difference between the pressure of a box and the sum of the pressures of adjacent sub-boxes in which the box can been decomposed. We show that all those terms indeed behave proportionally to the surface size and prove the existence in the thermodynamic limit of the adjacency pressure.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Bologna, Italy

    Pierluigi Contucci

  2. Department of Physics, Tokyo Institute of Technology, Japan

    Satoshi Morita & Hidetoshi Nishimori

Authors
  1. Pierluigi Contucci
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  2. Satoshi Morita
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  3. Hidetoshi Nishimori
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Correspondence to Pierluigi Contucci.

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Contucci, P., Morita, S. & Nishimori, H. Surface Terms on the Nishimori Line of the Gaussian Edwards-Anderson Model. J Stat Phys 122, 303–312 (2006). https://doi.org/10.1007/s10955-005-8020-z

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  • DOI: https://doi.org/10.1007/s10955-005-8020-z

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