Self-Averaging Identities for Random Spin Systems
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We provide a systematic treatment of self-averaging identities for various spin systems. The method is quite general, basically not relying on the nature of the model, and as a special case recovers the Ghirlanda-Guerra and Aizenman-Contucci identities, which are therefore proven, together with their extension, to be valid in a vaste class of spin models. We use the dilute spin glass as a guiding example.
Keywords
Cite
@article{arxiv.0705.2978,
title = {Self-Averaging Identities for Random Spin Systems},
author = {Luca De Sanctis and Silvio Franz},
journal= {arXiv preprint arXiv:0705.2978},
year = {2007}
}