On the probabilistic formulation of the replica approach to spin glasses
Disordered Systems and Neural Networks
2007-05-23 v1 Statistical Mechanics
Abstract
In this paper we review the predictions of the replica approach on the probability distribution of the overlaps among replicas and on the sample to sample fluctuations of this probability. We stress the role of replica equivalence in obtaining relations which do not depend on the form of replica symmetry breaking. A comparison is done with the results obtained with a different rigorous approach. The role of the ultrametricity and of other algebraic properties in discussed. It is shown that the ultrametric solution can be obtained from a variational principle.
Keywords
Cite
@article{arxiv.cond-mat/9801081,
title = {On the probabilistic formulation of the replica approach to spin glasses},
author = {Giorgio Parisi},
journal= {arXiv preprint arXiv:cond-mat/9801081},
year = {2007}
}
Comments
15 pages, no figures