eprintid: 1078
rev_number: 9
eprint_status: archive
userid: 6
dir: disk0/00/00/10/78
datestamp: 2012-01-25 13:47:35
lastmod: 2012-01-25 13:47:35
status_changed: 2012-01-25 13:47:35
type: article
metadata_visibility: show
creators_name: Gabrielli, Andrea
creators_name: Caldarelli, Guido
creators_id: 
creators_id: guido.caldarelli@imtlucca.it
title: Invasion percolation and the time scaling behavior of a queuing model of human dynamics
ispublished: pub
subjects: HA
subjects: QC
divisions: EIC
full_text_status: none
keywords: diffusion; percolation problems (theory); growth processes;  stochastic processes (theory)
abstract: In this paper we study the properties of the Barabási model of queuing under the hypothesis that the number of tasks is steadily growing in time. We map this model exactly onto an invasion percolation dynamics on a Cayley tree. This allows us to recover the correct waiting time distribution PW(τ)~τ−3/2 at the stationary state (as observed in different realistic data) and also to characterize it as a sequence of causally and geometrically connected bursts of activity. We also find that the approach to stationarity is very slow.
date: 2009
publication: Journal of Statistical Mechanics: Theory and Experiment
volume: 2009
number: 02
publisher: IOPscience
pagerange: P02046
id_number: doi:10.1088/1742-5468/2009/02/P02046
refereed: TRUE
issn: 1742-5468
official_url: http://dx.doi.org/10.1088/1742-5468/2009/02/P02046
citation:   Gabrielli, Andrea and Caldarelli, Guido  Invasion percolation and the time scaling behavior of a queuing model of human dynamics.  Journal of Statistical Mechanics: Theory and Experiment, 2009 (02).  P02046.  ISSN 1742-5468      (2009)