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

Barbara Drossel; Siegfried Clar; Franz Schwabl

doi:10.1515/zna-1994-0907

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

Barbara Drossel·Siegfried Clar·Franz Schwabl

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Abstract

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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Barbara Drossel, Siegfried Clar, Franz Schwabl. 1994-08-17. Universality in the One-Dimensional Self-Organized Critical Forest-Fire Model. https://doi.org/10.1515/zna-1994-0907

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