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

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

1994-05-04

arxiv.org/abs/cond-mat/9405008v1

Physics

Condensed Matter

12 pages, postscript uuencoded, figures included, to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.50.1009

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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