Scaling laws and simulation results for the self--organized critical forest--fire model
Condensed Matter
2009-10-22 v1
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 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.
Keywords
Cite
@article{arxiv.cond-mat/9405008,
title = {Scaling laws and simulation results for the self--organized critical forest--fire model},
author = {S. Clar and B. Drossel and F. Schwabl},
journal= {arXiv preprint arXiv:cond-mat/9405008},
year = {2009}
}
Comments
12 pages, postscript uuencoded, figures included, to appear in Phys. Rev. E