Finite dimensional corrections to mean field in a short-range p-spin glassy model
Disordered Systems and Neural Networks
2009-10-31 v1
Abstract
In this work we discuss a short range version of the -spin model. The model is provided with a parameter that allows to control the crossover with the mean field behaviour. We detect a discrepancy between the perturbative approach and numerical simulation. We attribute it to non-perturbative effects due to the finite probability that each particular realization of the disorder allows for the formation of regions where the system is less frustrated and locally freezes at a higher temperature.
Keywords
Cite
@article{arxiv.cond-mat/9806235,
title = {Finite dimensional corrections to mean field in a short-range p-spin glassy model},
author = {Matteo Campellone and Giorgio Parisi and Paola Ranieri},
journal= {arXiv preprint arXiv:cond-mat/9806235},
year = {2009}
}
Comments
18 pages, 5 figures, submitted to Phys Rev B