Journal of the Korean Physical Society

pISSN 0374-4884 eISSN 1976-8524

Article

Published online January 15, 2007     https://doi.org/10.3938/jkps.50.327

Copyright © The Korean Physical Society.

Interacting Particle Systems in Complex Networks

Jae Dong Noh

J. Korean Phys. Soc. 50(9(1)), 327 - 331 (2007)

Abstract

We present our recent work on stochastic particle systems on complex networks. As a noninteracting system we first consider the diffusive motion of a random walker on heterogeneous complex networks. We find that the random walker is attracted toward nodes with larger degree and that the random walk motion is asymmetric. The asymmetry can be quantified with the random walk centrality, the matrix formulation of which is presented. As an interacting system, we consider the zero-range process on complex networks. We find that a structural heterogeneity can lead to a condensation phenomenon. These studies show that structural heterogeneity plays an important role in understanding the properties of dynamical systems.

Keywords: Complex networks, Random walk, Centrality, Zero-range process, Condensation