An exact relation between free energy fluctuations and bond chaos in the Sherrington-Kirkpatrick model
Disordered Systems and Neural Networks
2008-04-16 v1
Abstract
Using a variant of the interpolating Hamiltonian technique, we show that there exists, in the Sherrington-Kirkpatrick spin glass, an exact connection between the sample-to-sample fluctuations of the free energy and bond chaos involving 2- and 4-replica overlaps between replicas with different but correlated bonds. This relation is used to derive an upper bound of the fluctuations.
Keywords
Cite
@article{arxiv.0802.3007,
title = {An exact relation between free energy fluctuations and bond chaos in the Sherrington-Kirkpatrick model},
author = {T. Aspelmeier},
journal= {arXiv preprint arXiv:0802.3007},
year = {2008}
}
Comments
13 pages, no figures