The forest fire model: the subtleties of criticality and scale invariance
File(s)Frontiers_Physics_2020.pdf (1.4 MB)
Published version
Author(s)
Palmieri, Lorenzo
Jensen, Henrik Jeldtoft
Type
Journal Article
Abstract
Amongst the numerous models introduced with SOC, the Forest Fire Model (FFM) is particularly attractive for its close relationship to stochastic spreading, which is central to the study of systems as diverse as epidemics, rumors, or indeed, fires. However, since its introduction, the nature of the model's scale invariance has been controversial, and the lack of scaling observed in many studies diminished its theoretical attractiveness. In this study, we analyse the behavior of the tree density, the average cluster size and the largest cluster and show that the model could be of high practical relevance for the activation dynamics seen in brain and rain studies. From this perspective, its peculiar scaling properties should be regarded as an asset rather than a limitation.
Date Issued
2020-09-04
Date Acceptance
2020-06-09
Citation
Frontiers in Physics, 2020, 8, pp.1-8
ISSN
2296-424X
Publisher
Frontiers Media
Start Page
1
End Page
8
Journal / Book Title
Frontiers in Physics
Volume
8
Copyright Statement
© 2020 Palmieri and Jensen. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
License URL
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000573805100001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
forest fire model
critical density
residence times
largest cluster
scale invariance
cluster size distribution
average cluster size
data collapse
LAWS
Publication Status
Published
Article Number
ARTN 257
Date Publish Online
2020-09-04