eprintid: 1157
rev_number: 10
eprint_status: archive
userid: 6
dir: disk0/00/00/11/57
datestamp: 2012-02-23 10:47:10
lastmod: 2013-11-20 13:59:43
status_changed: 2012-02-23 10:47:10
type: article
metadata_visibility: show
creators_name: Gabrielli, Andrea
creators_name: Caldarelli, Guido
creators_name: Pietronero, Luciano
creators_id: 
creators_id: guido.caldarelli@imtlucca.it
creators_id: 
title: Invasion percolation with temperature and the nature of self-organized criticality in real systems
ispublished: pub
subjects: QC
divisions: EIC
full_text_status: none
keywords: PACS: 05.40.-a, 62.20.Mk, 02.50.-r

abstract: In this paper we present a theoretical approach that allows us to describe the transition between critical and noncritical behavior when stocastic noise is introduced in extremal models with disorder. Namely, we show that the introduction of thermal noise in invasion percolation (IP) brings the system outside the critical point. This result suggests a possible definition of self-organized criticality systems as ordinary critical systems where the critical point corresponds to set to 0 one of the parameters. We recover both the IP and Eden models for T⃗0 and T⃗∞, respectively. For small T we find a dynamical second-order transition with correlation length diverging when T⃗0.
date: 2000-12
date_type: published
publication: Physical Review E
volume: 62
number: 6
publisher: American Physical Society
pagerange: 7638-7641
id_number: doi:10.1103/PhysRevE.62.7638
refereed: TRUE
issn: 1539-3755
official_url: http://dx.doi.org/10.1103/PhysRevE.62.7638
related_url_url: http://arxiv.org/abs/cond-mat/9910425
citation:   Gabrielli, Andrea and Caldarelli, Guido and Pietronero, Luciano  Invasion percolation with temperature and the nature of self-organized criticality in real systems.  Physical Review E, 62 (6).  pp. 7638-7641.  ISSN 1539-3755      (2000)