Local Spin Glass Order in 1D
Disordered Systems and Neural Networks
2009-11-11 v2 Statistical Mechanics
Abstract
We study the behavior of one dimensional Kac spin glasses as function of the interaction range. We verify by Montecarlo numerical simulations the crossover from local mean field behavior to global paramagnetism. We investigate the behavior of correlations and find that in the low temperature phase correlations grow at a faster rate then the interaction range. We completely characterize the growth of correlations in the vicinity of the mean-field critical region.
Cite
@article{arxiv.cond-mat/0604448,
title = {Local Spin Glass Order in 1D},
author = {Silvio Franz and Giorgio Parisi},
journal= {arXiv preprint arXiv:cond-mat/0604448},
year = {2009}
}