Sample to sample fluctuations in the random energy model

B. Derrida , G. Toulouse

In the spin glass phase, mean field theory says that the weights of the valleys vary from sample to sample. Exact expressions for the probability laws of these fluctuations are derived, from the random energy model, without recourse to the replica method.

Mots clés: spin glasses; free energy valleys; random energy model; mean field theory; probability laws; fluctuations

Domaines: Articles anciens

B. Derrida, G. Toulouse. Sample to sample fluctuations in the random energy model. Journal de Physique Lettres, 1985, 46 (6), pp.223-228. ⟨10.1051/jphyslet:01985004606022300⟩. ⟨jpa-00232503⟩