Forest-fire models as a bridge between different paradigms in Self-Organized Criticality
arXiv:cond-mat/9909012 · doi:10.1103/PhysRevE.62.3215
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.
4 pages, 4 figures, submitted to Physical Review Letters (PACS numbers: 05.65.+b, 05.45.-a, 05.70.Jk, 64.60.Ht)
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