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

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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

Dorlas, T C and Dukes, W M B ORCID logoORCID: https://orcid.org/0000-0002-2779-2680;
  • 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:
    URI:https://strathprints.strath.ac.uk/id/eprint/50691
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