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.
|Number of pages||10|
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Publication status||Published - 10 May 2002|
- condensed matter
- statistical physics
- nonlinear systems
- thermodynamic functions