Condensation in a zero range process on weighted scale-free networks

Abstract

We study the condensation phenomenon in a zero range process on weighted scale-free networks in order to show how the weighted transport influences the particle condensation. Instead of the approach of grand canonical ensemble which is generally used in a zero range process, we introduce an alternate approach of the mean field equations to study the dynamics of particle transport. We find that the condensation on scale-free network is easier to occur in the case of weighted transport than in the case of weight-free. In the weighted transport, especially, a dynamical condensation is even possible for the case of no interaction among particles, which is impossible in the case of weight-free.

6 pages, 4 figures

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• Random walks in weighted networks with a perfect trap: An application of Laplacian spectra
• Condensation in the inhomogeneous zero-range process: an interplay between interaction and diffusion disorder
• Condensation phenomena of conserved-mass aggregation model on weighted complex networks
• Variability of Contact Process in Complex Networks
• Zero-range process with long-range interactions at a T-junction
• Finite-size effects in dynamics of zero-range processes
• Slow dynamics of Zero Range Process in the Framework of Traps Model
• Traffic properties for stochastic routings on scale-free networks