Universality in the One-Dimensional Self-Organized Critical Forest-Fire Model

Details Universality in the One-Dimensional Self-Organized Critical Forest-Fire Model Universality in the One-Dimensional Self-Organized Critical Forest-Fire Model

1994-08-17

arxiv.org/abs/cond-mat/9408046v1

Physics

Condensed Matter

11 pages Revtex, 4 figures included, to be published in Z. Naturforschung A

Scientific paper

We modify the rules of the self-organized critical forest-fire model in one dimension by allowing the fire to jump over holes of $\le k$ sites. An analytic calculation shows that not only the size distribution of forest clusters but also the size distribution of fires is characterized by the same critical exponent as in the nearest-neighbor model, i.e. the critical behavior of the model is universal. Computer simulations confirm the analytic results.

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