Large Deviations in the Free-Energy of Mean-Field Spin-Glasses
Disordered Systems and Neural Networks
2012-10-31 v2 Statistical Mechanics
Abstract
We compute analytically the probability distribution of large deviations in the spin-glass free energy for the Sherrington-Kirkpatrick mean field model, i.e. we compute the exponentially small probability of finding a system with intensive free energy smaller than the most likely one. This result is obtained by computing the average value of the partition function to the power as a function of . At zero temperature this absolute prediction displays a remarkable quantitative agreement with the numerical data.
Cite
@article{arxiv.0706.1180,
title = {Large Deviations in the Free-Energy of Mean-Field Spin-Glasses},
author = {Giorgio Parisi and Tommaso Rizzo},
journal= {arXiv preprint arXiv:0706.1180},
year = {2012}
}
Comments
version to be submitted to PRL plus full power series in the appendix, added references and minor corrections