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The high density limit for lattice spin models

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Abstract

Then-vector, spherical and quantum spin models are considered on a regular lattice with co-ordination numberq. In the limitq→∞ it is proved algebraically that the free energies are given by the corresponding Curie-Weiss or mean-field expressions.

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Author notes

  1. Paul A. Pearce

    Present address: Physics Department, Carnegie-Mellon University, 15213, Pittsburgh, PA, USA

Authors and Affiliations

  1. Mathematics Department, University of Melbourne, 3052, Parkville, Victoria, Australia

    Paul A. Pearce & Colin J. Thompson

Authors
  1. Paul A. Pearce
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  2. Colin J. Thompson
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Communicated by E. Lieb

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Pearce, P.A., Thompson, C.J. The high density limit for lattice spin models. Commun.Math. Phys. 58, 131–138 (1978). https://doi.org/10.1007/BF01609416

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  • DOI: https://doi.org/10.1007/BF01609416

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