On the Surface Pressure for the Edwards-Anderson Model
Mathematical Physics
2009-11-10 v3 Disordered Systems and Neural Networks
math.MP
Abstract
For the Edwards-Anderson model we introduce an integral representation for the surface pressure (per unit surface) in terms of a quenched moment of the bond-overlap on the surface. We find upper and lower bounds uniformly in the volume and show that at high temperature its value is strictly different from zero.
Cite
@article{arxiv.math-ph/0306006,
title = {On the Surface Pressure for the Edwards-Anderson Model},
author = {Pierluigi Contucci and Sandro Graffi},
journal= {arXiv preprint arXiv:math-ph/0306006},
year = {2009}
}
Comments
Minor changes. To appear in Commun. Math. Phys