On the replica method for glassy systems
Disordered Systems and Neural Networks
2007-05-23 v2 Soft Condensed Matter
Abstract
In this talk we review our theoretical understanding of spin glasses paying a particular attention to the basic physical ideas. We introduce the replica method and we describe its probabilistic consequences (we stress the recently discovered importance of stochastic stability). We show that the replica method is not restricted to systems with quenched disorder. We present the consequences on the dynamics of the system when it slows approaches equilibrium are presented: they are confirmed by large scale simulations, while we are still awaiting for a direct experimental verification.
Cite
@article{arxiv.cond-mat/9806003,
title = {On the replica method for glassy systems},
author = {Giorgio Parisi},
journal= {arXiv preprint arXiv:cond-mat/9806003},
year = {2007}
}
Comments
Contribution to the Conference in Honour of Giovanni Paladin, Rome September 1997. 10 pages and 2 figures The length of the paper has been changed