Mean field behaviour of spin systems with orthogonal interaction matrix
Mathematical Physics
2007-05-23 v2 Disordered Systems and Neural Networks
math.MP
Abstract
For the long-range deterministic spin models with glassy behaviour of Marinari, Parisi and Ritort we prove weighted factorization properties of the correlation functions which represent the natural generalization of the factorization rules valid for the Curie-Weiss case.
Cite
@article{arxiv.math-ph/0106022,
title = {Mean field behaviour of spin systems with orthogonal interaction matrix},
author = {Pierluigi Contucci and Sandro Graffi and Stefano Isola},
journal= {arXiv preprint arXiv:math-ph/0106022},
year = {2007}
}
Comments
Improved exposition, few typos and a combinatorial mistake corrected. (To appear in Journal of Statistical Physics)