Diffusion Processes on Power-Law Small-World Networks
Statistical Mechanics
2007-05-23 v2 Disordered Systems and Neural Networks
Abstract
We consider diffusion processes on power-law small-world networks in different dimensions. In one dimension, we find a rich phase diagram, with different transient and recurrent phases, including a critical line with continuously varying exponents. The results were obtained using self-consistent perturbation theory and can also be understood in terms of a scaling theory, which provides a general framework for understanding processes on small-world networks with different distributions of long-range links.
Cite
@article{arxiv.cond-mat/0501509,
title = {Diffusion Processes on Power-Law Small-World Networks},
author = {Balázs Kozma and Matthew B. Hastings and G. Korniss},
journal= {arXiv preprint arXiv:cond-mat/0501509},
year = {2007}
}
Comments
4 pages, 3 figures, added references, modified Fig. 2 with added data (PRL, in press)