City Research Online

Mean-field diffusive dynamics on weighted networks

Baronchelli, A. & Pastor-Satorras, R. (2010). Mean-field diffusive dynamics on weighted networks. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 82(1), article number 011111. doi: 10.1103/physreve.82.011111

Abstract

Diffusion is a key element of a large set of phenomena occurring on natural and social systems modeled in terms of complex weighted networks. Here, we introduce a general formalism that allows to easily write down mean-field equations for any diffusive dynamics on weighted networks. We also propose the concept of annealed weighted networks, in which such equations become exact. We show the validity of our approach addressing the problem of the random walk process, pointing out a strong departure of the behavior observed in quenched real scale-free networks from the mean-field predictions. Additionally, we show how to employ our formalism for more complex dynamics. Our work sheds light on mean-field theory on weighted networks and on its range of validity, and warns about the reliability of mean-field results for complex dynamics.

Publication Type: Article
Subjects: Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
SWORD Depositor:
[thumbnail of Mean-field diffusive dynamics on weighted networks.pdf]
Preview
PDF
Download (248kB) | Preview

Export

Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email

Downloads

Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login