Journal of Statistical Physics

, Volume 79, Issue 1–2, pp 473–482

On the purity of the limiting gibbs state for the Ising model on the Bethe lattice

  • P. M. Bleher
  • J. Ruiz
  • V. A. Zagrebnov
Short Communications

DOI: 10.1007/BF02179399

Cite this article as:
Bleher, P.M., Ruiz, J. & Zagrebnov, V.A. J Stat Phys (1995) 79: 473. doi:10.1007/BF02179399

Abstract

We give a proof that for the Ising model on the Bethe lattice, the limiting Gibbs state with zero effective field (disordered state) persists to be pure for temperature below the ferromagnetic critical temperatureTcF until the critical temperatureTcSG of the corresponding spin-glass model. This new proof revises the one proposed earlier.

Key Words

Pure Gibbs state Ising-Bethe model spin-glass 

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • P. M. Bleher
    • 1
    • 2
  • J. Ruiz
    • 1
  • V. A. Zagrebnov
    • 1
    • 3
  1. 1.Centre de Physique ThéoriqueCNRS-LuminyMarseille Cedex 9France
  2. 2.Department of Mathematical SciencesIndiana University-Purdue University at IndianapolisIndianapolis
  3. 3.Département de PhysiqueUniversité d'AixMarseille II

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