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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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.
| Author(s): | Dorlas, T C and Dukes, W M B | 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: | 03 Jan 2019 14:09 |
| Related URLs: | |
| URI: | https://strathprints.strath.ac.uk/id/eprint/50691 |
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