Metastable states in the Blume-Emery-Griffiths spin glass model

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.

RevTeX, 4 pages, 2 figs

References in corpus (2)

• Comment on ``Two Time Scales and Violation of the Fluctuation-Dissipation Theorem in a Finite Dimensional Model for Structural Glasses''
• Reply to Comment on "Two time scales and violation of the Fluctuation-Dissipation Theorem in a finite dimensional model for structural glasses"