Large deviation approach to the generalized random energy model

T C Dorlas, W M B Dukes

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


The generalized random energy model is a generalization of the random energy model introduced by Derrida to mimic the ultrametric structure of the Parisi solution of the Sherrington–Kirkpatrick model of a spin glass. It was solved exactly in two special cases by Derrida and Gardner. A complete solution for the thermodynamics in the general case was given by Capocaccia et al. Here we use large deviation theory to analyse the model in a very straightforward way. We also show that the variational expression for the free energy can be evaluated easily using the Cauchy–Schwarz inequality.
Original languageEnglish
Pages (from-to)4385-4394
Number of pages10
JournalJournal of Physics A: Mathematical and Theoretical
Issue number20
Publication statusPublished - 10 May 2002


  • condensed matter
  • statistical physics
  • nonlinear systems
  • spin-glass
  • thermodynamic functions


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