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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Official URL: https://doi.org/10.1088/0305-4470/35/20/301

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.

Creators(s):	Dorlas, T C and Dukes, W M B ORCID: https://orcid.org/0000-0002-2779-2680;
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:	27 Mar 2020 01:47
Related URLs:	Journal or Publication
URI:	https://strathprints.strath.ac.uk/id/eprint/50691
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