On a forest fire model with supposed self-organized criticality View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1991-05

AUTHORS

Peter Grassberger, Holger Kantz

ABSTRACT

We study a stochastic forest fire model introduced by P. Baket al. as a model showing self-organized criticality. This model involves a growth parameterp, and the criticality is supposed to show up in the limitp→0. By simulating the model on much larger lattices, and with much smaller values ofp, we find that the correlations with longest range do not show a nontrivial critical phenomenon in this limit, though we cannot rule out percolation-like critical behavior on a smaller but still divergent length scale. In contrast, the model shows nontrivialdeterministic evolution over time scales ≫1/p in the limitp→0. More... »

PAGES

685-700

Journal

TITLE

Journal of Statistical Physics

ISSUE

3-4

VOLUME

63

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01029205

DOI

http://dx.doi.org/10.1007/bf01029205

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1015803723


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