Random Multi-Overlap Structures and Cavity Fields in Diluted Spin Glasses
Disordered Systems and Neural Networks
2016-08-31 v2 Statistical Mechanics
Abstract
We introduce the concept of Random Multi-Overlap Structures in diluted spin glasses, following the ideas of Aizenman, Sims and Starr for non-diluted models. As a result, we prove the generalized bound and variational principle for the free energy per site, in analogy with the results of Aizenman, Sims and Starr for non-diluted models. We also prove some stability properties of the optimal RMOSt, analogous to the one found by Guerra for non-diluted models.
Keywords
Cite
@article{arxiv.cond-mat/0403506,
title = {Random Multi-Overlap Structures and Cavity Fields in Diluted Spin Glasses},
author = {Luca De Sanctis},
journal= {arXiv preprint arXiv:cond-mat/0403506},
year = {2016}
}
Comments
13 pages, corrected typos