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Formation of Space-Time Structure in a Forest-Fire Model

B. Drossel·F. Schwabl
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Abstract

We present a general stochastic forest-fire model which shows a variety of different structures depending on the parameter values. The model contains three possible states per site (tree, burning tree, empty site) and three parameters (tree growth probability $p$, lightning probability $f$, and immunity $g$). We review analytic and computer simulation results for a quasideterministic state with spiral-shaped fire fronts, for a percolation-like phase transition and a self-organized critical state. Possible applications to excitable systems are discussed.

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B. Drossel, F. Schwabl. 1993-10-26. Formation of Space-Time Structure in a Forest-Fire Model. https://doi.org/10.1016/0378-4371(94)90426-x

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