eprintid: 1086
rev_number: 18
eprint_status: archive
userid: 6
dir: disk0/00/00/10/86
datestamp: 2012-01-26 14:19:40
lastmod: 2014-12-05 09:24:53
status_changed: 2012-01-26 14:19:40
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 critical transient in the Barabási Model of human dynamics
ispublished: pub
subjects: QC
subjects: QH
divisions: EIC
full_text_status: public
keywords: PACS: 89.75.Da, 02.50.Le, 64.60.Ak, 89.65.Ef

note: © 2007 American Physical Society
abstract: We introduce an exact probabilistic description for L=2 of the Barabási model for the dynamics of a list of L tasks. This permits us to study the problem out of the stationary state and to solve explicitly the extremal limit case where a critical behavior for the waiting time distribution is observed. This behavior deviates at any finite time from that of the stationary state. We study also the characteristic relaxation time for finite time deviations from stationarity in all cases showing that it diverges in the extremal limit, confirming that these deviations are important at all time.
date: 2007-05
date_type: published
publication: Physical Review Letters
volume: 98
number: 20
publisher: American Physical Society
id_number: 10.1103/PhysRevLett.98.208701
refereed: TRUE
issn: 0031-9007
official_url: http://dx.doi.org/10.1103/PhysRevLett.98.208701
related_url_url: http://arxiv.org/abs/physics/0702110
citation:   Gabrielli, Andrea and Caldarelli, Guido  Invasion percolation and critical transient in the Barabási Model of human dynamics.  Physical Review Letters, 98 (20).   ISSN 0031-9007      (2007)  
document_url: http://eprints.imtlucca.it/1086/1/Caldarelli_PRL_07.pdf