Ising model in small-world networks
Disordered Systems and Neural Networks
2009-11-07 v1
Abstract
The Ising model in small-world networks generated from two- and three-dimensional regular lattices has been studied. Monte Carlo simulations were carried out to characterize the ferromagnetic transition appearing in these systems. In the thermodynamic limit, the phase transition has a mean-field character for any finite value of the rewiring probability p, which measures the disorder strength of a given network. For small values of p, both the transition temperature and critical energy change with p as a power law. In the limit p -> 0, the heat capacity at the transition temperature diverges logarithmically in two-dimensional (2D) networks and as a power law in 3D.
Cite
@article{arxiv.cond-mat/0206079,
title = {Ising model in small-world networks},
author = {Carlos P. Herrero},
journal= {arXiv preprint arXiv:cond-mat/0206079},
year = {2009}
}
Comments
6 pages, 7 figures