Free energy fluctuations and chaos in the Sherrington-Kirkpatrick model
Disordered Systems and Neural Networks
2008-03-25 v1
Abstract
The sample-to-sample fluctuations Delta F_N of the free energy in the Sherrington-Kirkpatrick model are shown rigorously to be related to bond chaos. Via this connection, the fluctuations become analytically accessible by replica methods. The replica calculation for bond chaos shows that the exponent mu governing the growth of the fluctuations with system size N, i.e. Delta F_N N^mu, is bounded by mu <= 1/4.
Keywords
Cite
@article{arxiv.0712.3586,
title = {Free energy fluctuations and chaos in the Sherrington-Kirkpatrick model},
author = {T. Aspelmeier},
journal= {arXiv preprint arXiv:0712.3586},
year = {2008}
}
Comments
4.5 pages, no figures. This manuscript supersedes arXiv:cond-mat/0610228