2003/09/30 by Gunnar Pruessner, Henrik Jeldtoft Jensen
Environmental Science · Mathematics · Physics and Astronomy · #Fire effects on ecosystems #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.70.066707
published as Phys. Rev. E 70 066707-1--25 (2004) · 38 pages, 28 figures, REVTeX 4, RMP style; V2 is for clarifications as well as corrections and update of references
arxiv created 2003/12/18 · openalex publication_date 2004/12/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Drossel-Schwabl forest fire model is one of the best studied models of nonconservative self-organized criticality. However, using an alternative 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.