relation: http://eprints.imtlucca.it/1157/
title: Invasion percolation with temperature and the nature of self-organized criticality in real systems
creator: Gabrielli, Andrea
creator: Caldarelli, Guido
creator: Pietronero, Luciano
subject: QC Physics
description: 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.
publisher: American Physical Society
date: 2000-12
type: Article
type: PeerReviewed
identifier:   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)  
relation: http://dx.doi.org/10.1103/PhysRevE.62.7638
relation: doi:10.1103/PhysRevE.62.7638