Forest-fire models as a bridge between different paradigms in Self-Organized Criticality
Statistical Mechanics
2009-10-31 v1
Abstract
We turn the stochastic critical forest-fire model introduced by Drossel and Schwabl (PRL 69, 1629, 1992) into a deterministic threshold model. This new model has many features in common with sandpile and earthquake models of Self-Organized Criticality. Nevertheless our deterministic forest-fire model exhibits in detail the same macroscopic statistical properties as the original Drossel and Schwabl model. We use the deterministic model and a related semi-deterministic version of the model to elaborate on the relation between forest-fire, sandpile and earthquake models.
Cite
@article{arxiv.cond-mat/9909012,
title = {Forest-fire models as a bridge between different paradigms in Self-Organized Criticality},
author = {Proshun Sinha-Ray and Henrik Jeldtoft Jensen},
journal= {arXiv preprint arXiv:cond-mat/9909012},
year = {2009}
}
Comments
4 pages, 4 figures, submitted to Physical Review Letters (PACS numbers: 05.65.+b, 05.45.-a, 05.70.Jk, 64.60.Ht)