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

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

2008-02-25

arxiv.org/abs/0802.3586v1

Physical Review E 74, 036101 (2006)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 4 figures

Scientific paper

10.1103/PhysRevE.74.036101

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.

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