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The spherical model as the limiting n-vector model in a random field

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  • Theumann, W.K.
  • Fontanari, JoséF.

Abstract

A formal proof is given of the equivalence of the free energy for the limiting (n→∞) n-vector model with that for the spherical model in a random field with Gaussian translationally invariant distributions of either statistically independent or long-range correlated random fields.

Suggested Citation

  • Theumann, W.K. & Fontanari, JoséF., 1988. "The spherical model as the limiting n-vector model in a random field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 149(1), pages 341-357.
    • Handle: RePEc:eee:phsmap:v:149:y:1988:i:1:p:341-357
    DOI: 10.1016/0378-4371(88)90224-5
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    1. Allaire, Yvan & Toulouse, Jean-Marie, 1974. "Différences entre la situation socio-économique des clients des caisses populaires et celle des clients des autres institutions : une étude auprès des chefs de ménage franco-ontariens," L'Actualité Economique, Société Canadienne de Science Economique, vol. 50(3), pages 450-459, juillet.
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