Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-01-17
J. Korean Phys. Soc. 50, 327 (2007)
Physics
Condensed Matter
Statistical Mechanics
presented at Dynamics Days Asia Pacific 4
Scientific paper
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.
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