Power laws in zero-range processes on random networks

Abstract

We study statistical properties of a zero-range process (ZRP) on random networks. We derive an analytic expression for the distribution of particles (also called node occupation distribution) in the steady state of the ZRP in the ensemble of uncorrelated random graphs. We analyze the dependence of this distribution on the node-degree distribution. In particular, we show that when the degree distribution is tuned properly, one can obtain scale-free fluctuations in the distribution of particles. Such fluctuations lead to a power law in the distribution of particles, just like in the ZRP with the hopping rate u(m)=1+b/m on homogeneous graphs.

6 pages, EPJ Latex style

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Cited by in corpus (5)

• Condensation in the inhomogeneous zero-range process: an interplay between interaction and diffusion disorder
• Power laws in zero-range processes on random networks
• Finite-size effects in dynamics of zero-range processes
• Dynamics of condensate formation in stochastic transport with pair-factorized steady states: Nucleation and coarsening time scales
• Random walk with priorities in communication-like networks