Mean-Field and Anomalous Behavior on a Small-World Network
Statistical Mechanics
2009-11-10 v2
Abstract
We use scaling results to identify the crossover to mean-field behavior of equilibrium statistical mechanics models on a variant of the small world network. The results are generalizable to a wide-range of equilibrium systems. Anomalous scaling is found in the width of the mean-field region, as well as in the mean-field amplitudes. Finally, we consider non-equilibrium processes.
Cite
@article{arxiv.cond-mat/0304530,
title = {Mean-Field and Anomalous Behavior on a Small-World Network},
author = {M. B. Hastings},
journal= {arXiv preprint arXiv:cond-mat/0304530},
year = {2009}
}
Comments
4 pages, 0 figures; reference added