Zero temperature Glauber dynamics on complex networks
Statistical Mechanics
2009-11-11 v1 Disordered Systems and Neural Networks
Abstract
We study the Glauber dynamics at zero temperature of spins placed on the vertices of an uncorrelated network with a power-law degreedistribution. Application of mean-field theory yields as main prediction that for symmetric disordered initial conditions the mean time to reach full order is finite or diverges as a logarithm of the system size N, depending on the exponent of the degree distribution. Extensive numerical simulations contradict these results and clearly show that the mean-field assumption is not appropriate to describe this problem.
Cite
@article{arxiv.cond-mat/0602315,
title = {Zero temperature Glauber dynamics on complex networks},
author = {Claudio Castellano and Romualdo Pastor-Satorras},
journal= {arXiv preprint arXiv:cond-mat/0602315},
year = {2009}
}
Comments
20 pages, 10 figures