Finite-size effects in the self-organized critical forest-fire model
Statistical Mechanics
2009-10-31 v2
Abstract
We study finite-size effects in the self-organized critical forest-fire model by numerically evaluating the tree density and the fire size distribution. The results show that this model does not display the finite-size scaling seen in conventional critical systems. Rather, the system is composed of relatively homogeneous patches of different tree densities, leading to two qualitatively different types of fires: those that span an entire patch and those that don't. As the system size becomes smaller, the system contains less patches, and finally becomes homogeneous, with large density fluctuations in time.
Cite
@article{arxiv.cond-mat/9904356,
title = {Finite-size effects in the self-organized critical forest-fire model},
author = {Klaus Schenk and Barbara Drossel and Siegfried Clar and Franz Schwabl},
journal= {arXiv preprint arXiv:cond-mat/9904356},
year = {2009}
}
Comments
10 pages, 11 figures