Bond chaos in the Sherrington-Kirkpatrick model
Disordered Systems and Neural Networks
2008-05-05 v1
Abstract
We calculate the probability distribution of the overlap between a spin glass and a copy of itself in which the bonds are randomly perturbed in varying degrees. The overlap distribution is shown to go to a delta distribution in the thermodynamic limit for arbitrarily small perturbations (bond chaos) and we obtain the scaling behaviour of the distribution with system size N in the high and low temperature phases and exactly at the critical temperature. The results are relevant for the free energy fluctuations in the Sherrington-Kirkpatrick model.
Keywords
Cite
@article{arxiv.0802.3204,
title = {Bond chaos in the Sherrington-Kirkpatrick model},
author = {T. Aspelmeier},
journal= {arXiv preprint arXiv:0802.3204},
year = {2008}
}
Comments
12 pages, no figures