Crossover behaviour of a one dimensional Random Energy Model
Disordered Systems and Neural Networks
2009-10-31 v1
Abstract
In this note we formulate a finite dimensional generalization of the Random Energy Model (REM) where we introduce a geometry and spatial correlations between energies. We study the model in dimension one by transfer matrix techniques and we look at the crossover from one dimensional to mean-field behaviour. In a first version of the model the mean field limit reproduces the behaviour of the original REM, while a second version of the model exhibits a first order phase transition with a finite latent heat.
Keywords
Cite
@article{arxiv.cond-mat/9803136,
title = {Crossover behaviour of a one dimensional Random Energy Model},
author = {Matteo Campellone and Silvio Franz and Giorgio Parisi},
journal= {arXiv preprint arXiv:cond-mat/9803136},
year = {2009}
}
Comments
6 pages, 5 figures