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Almeida-Thouless inequality for the quenched Ising models with arbitrary distributions of coupling constants

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  • Ermilov, A.N.
  • Kurbatov, A.M.
  • Kabanovich, V.I.
  • Racotoaridzauna, S.

Abstract

We consider the condition of stability with respect to breaking replica symmetry of the mean-field replica-symmetrical free energy of the quenched short-range Ising model with arbitrary distribution of coupling constants. There exist distributions providing the stability of replica-symmetrical free energy in the spin glass phase.

Suggested Citation

  • Ermilov, A.N. & Kurbatov, A.M. & Kabanovich, V.I. & Racotoaridzauna, S., 1992. "Almeida-Thouless inequality for the quenched Ising models with arbitrary distributions of coupling constants," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 182(1), pages 190-196.
    • Handle: RePEc:eee:phsmap:v:182:y:1992:i:1:p:190-196
    DOI: 10.1016/0378-4371(92)90237-K
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    References listed on IDEAS

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    1. Bogolubov, N.N. & Ermilov, A.N. & Kurbatov, A.M. & Pronin, P.I., 1985. "Free energy and ordering in random quenched Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 133(3), pages 425-441.
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