Large deviation approach to the generalized random energy model

Dorlas, T C and Dukes, W M B (2002) Large deviation approach to the generalized random energy model. Journal of Physics A: Mathematical and Theoretical, 35 (20). pp. 4385-4394. ISSN 0305-4470

Abstract

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.

ORCID iDs

Dukes, W M B ORCID: https://orcid.org/0000-0002-2779-2680

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• Item metadata

  Item type:	Article
  ID code:	50691
  Dates:	Date Event 10 May 2002 Published
  Keywords:	condensed matter, statistical physics, nonlinear systems, spin-glass, thermodynamic functions, Physics
  Subjects:	Science > Physics
  Department:	Faculty of Science > Computer and Information Sciences
  Depositing user:	Pure Administrator
  Date deposited:	09 Dec 2014 05:13
  Last modified:	20 Jan 2021 21:38
  Related URLs:	Journal or Publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/50691