Metastable states in the Blume-Emery-Griffiths spin glass model
Statistical Mechanics
2009-11-07 v1 Disordered Systems and Neural Networks
Abstract
We study the Blume-Emery-Griffiths spin glass model in presence of an attractive coupling between real replicas, and evaluate the effective potential as a function of the density overlap. We find that there is a region, above the first order transition of the model, where metastable states with a large density overlap exist. The line where these metastable states appear should correspond to a purely dynamical transition, with a breaking of ergodicity. Differently from what happens in p-spin glasses, in this model the dynamical transition would not be the precursor of a 1-step RSB transition, but (probably) of a full RSB transition.
Keywords
Cite
@article{arxiv.cond-mat/0110029,
title = {Metastable states in the Blume-Emery-Griffiths spin glass model},
author = {A. de Candia},
journal= {arXiv preprint arXiv:cond-mat/0110029},
year = {2009}
}
Comments
RevTeX, 4 pages, 2 figs