Stationary and dynamical properties of a zero range process on scale-free networks

Details Stationary and dynamical properties of a zero range process on scale-free networks Stationary and dynamical properties of a zero range process on scale-free networks

2005-07-11

arxiv.org/abs/cond-mat/0507239v2

Phys. Rev. E 72, 056123 (2005)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 6 eps figures, accepted version in PRE

Scientific paper

10.1103/PhysRevE.72.056123

We study the condensation phenomenon in a zero range process on scale-free networks. We show that the stationary state property depends only on the degree distribution of underlying networks. The model displays a stationary state phase transition between a condensed phase and an uncondensed phase, and the phase diagram is obtained analytically. As for the dynamical property, we find that the relaxation dynamics depends on the global structure of underlying networks. The relaxation time follows the power law $\tau \sim L^z$ with the network size $L$ in the condensed phase. The dynamic exponent $z$ is found to take a different value depending on whether underlying networks have a tree structure or not.

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