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Random-Energy Model: Limit of a Family of Disordered Models

1980; American Physical Society; Volume: 45; Issue: 2 Linguagem: Inglês

10.1103/physrevlett.45.79

1092-0145

Bernard Derrida,

Stochastic processes and statistical mechanics

In this Letter, a simple model of disordered systems---the random-energy model---is introduced and solved. This model is the limit of a family of disordered models, when the correlations between the energy levels become negligible. The properties are qualitatively the same as those of the Sherrington-Kirkpatrick model. Moreover, this random-energy model looks like a simple approximation to any spin-glass model.