2008/02/19 by Bartłomiej Waclaw, B. Waclaw, Z. Burda +2
Mathematics · Physics and Astronomy · #Combinatorics #Complex Network Analysis Techniques #Complex network #Degree distribution #Distribution (mathematics) #Materials science #Mathematical analysis #Mathematics #Node (physics) #Physics #Power law #Quantum mechanics #Random graph #Range (aeronautics) #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Uncorrelated #Zero (linguistics) #cond-mat.other #cond-mat.stat-mech
paper · pdf · doi:10.1140/epjb/e2008-00361-0
published as Eur. Phys. J. B 65, 565 (2008) · 6 pages, EPJ Latex style
arxiv created 2008/02/19 · openalex publication_date 2008/10/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.