A new, efficient algorithm for the Forest Fire Model

Details A new, efficient algorithm for the Forest Fire Model A new, efficient algorithm for the Forest Fire Model

2003-09-08

arxiv.org/abs/cond-mat/0309173v2

Phys. Rev. E 70 066707-1--25 (2004)

Physics

Condensed Matter

Statistical Mechanics

38 pages, 28 figures, REVTeX 4, RMP style; V2 is for clarifications as well as corrections and update of references

Scientific paper

10.1103/PhysRevE.70.066707

The Drossel-Schwabl Forest Fire Model is one of the best studied models of non-conservative self-organised criticality. However, using a new algorithm, which allows us to study the model on large statistical and spatial scales, it has been shown to lack simple scaling. We thereby show that the considered model is not critical. This paper presents the algorithm and its parallel implementation in detail, together with large scale numerical results for several observables. The algorithm can easily be adapted to related problems such as percolation.

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