Power laws in zero-range processes on random networks

B. Waclaw (), Z. Burda and W. Janke

The European Physical Journal B: Condensed Matter and Complex Systems, 2008, vol. 65, issue 4, 565-570

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 obtainscale-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/mon homogeneous graphs. Copyright Springer 2008

Keywords: 89.75.-k Complex systems; 05.20.-y Classical statistical mechanics; 05.70.Fh Phase transitions: general studies (search for similar items in EconPapers)
Date: 2008
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1140/epjb/e2008-00361-0 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:65:y:2008:i:4:p:565-570

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/e2008-00361-0

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().