A generalization of the Random Energy Model which includes correlations between energies

B. Derrida

The Random Energy Model is generalized to treat arbitrary correlations between pairs of energy levels. This Generalized Random Energy Model remains soluble. The sudden freezing which occurs in the RE model can, in the generalized version, become a progressive freezing when temperature decreases.

Mots clés: spin glasses; spin glass; random energy model; correlations; freezing

Domaines: Articles anciens

B. Derrida. A generalization of the Random Energy Model which includes correlations between energies. Journal de Physique Lettres, 1985, 46 (9), pp.401-407. ⟨10.1051/jphyslet:01985004609040100⟩. ⟨jpa-00232535⟩