Replica equivalence in the Edwards-Anderson model
Statistical Mechanics
2009-11-10 v3 Disordered Systems and Neural Networks
Mathematical Physics
math.MP
Abstract
After introducing and discussing the "link-overlap" between spin configurations we show that the Edwards-Anderson model has a "replica-equivalent" quenched equilibrium state, a property introduced by Parisi in the description of the mean-field spin-glass phase which generalizes ultrametricity. Our argument is based on the control of fluctuations through the property of stochastic stability and works for all the finite-dimensional spin-glass models.
Keywords
Cite
@article{arxiv.cond-mat/0302500,
title = {Replica equivalence in the Edwards-Anderson model},
author = {Pierluigi Contucci},
journal= {arXiv preprint arXiv:cond-mat/0302500},
year = {2009}
}
Comments
12 pages, few remarks added. To appear in Journal of Physics A: Mathematical and General