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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.

Item type: Article
ID code: 50691
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: 22 Mar 2017 13:41
Related URLs:
URI: https://strathprints.strath.ac.uk/id/eprint/50691
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