Scaling laws and simulation results for the self--organized critical forest--fire model

S. Clar; B. Drossel; F. Schwabl

doi:10.1103/physreve.50.1009

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Scaling laws and simulation results for the self--organized critical forest--fire model

S. Clar·B. Drossel·F. Schwabl

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Abstract

We discuss the properties of a self--organized critical forest--fire model which has been introduced recently. We derive scaling laws and define critical exponents. The values of these critical exponents are determined by computer simulations in 1 to 8 dimensions. The simulations suggest a critical dimension $d_c=6$ above which the critical exponents assume their mean--field values. Changing the lattice symmetry and allowing trees to be immune against fire, we show that the critical exponents are universal.

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S. Clar, B. Drossel, F. Schwabl. 1994-05-04. Scaling laws and simulation results for the self--organized critical forest--fire model. https://doi.org/10.1103/physreve.50.1009

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