Journal Article


W.M.B. Dukes
T. C. Dorlas



energy model free energy sherrington kirkpatrick lines spin glass random expression thermodynamics

On the Generalised Random Energy Model (2001)

Abstract The Generalised Random Energy Model is a generalisation 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 rigorous analysis by Capocaccia et al. claimed to give a complete solution for the thermodynamics of the model in the general case. Here we use Large Deviation Theory to analyse the model along the lines followed by Dorlas and Wedagedera for the Random Energy Model. The resulting variational expression for the free energy is the same as that found by Capocaccia et al. We show that it can be evaluated in a very simple way. We find that the answer given by Capocaccia et al. is incorrect.
Collections Ireland -> DAIR -> Open Access DRIVERset
Ireland -> DAIR -> Type = Article
Ireland -> DAIR -> Status = Preprint

Full list of authors on original publication

W.M.B. Dukes, T. C. Dorlas

Experts in our system

T. C. Dorlas
Total Publications: 44