Crossover from Percolation to Self-Organized Criticality

Preprint

17 August 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9408045

Abstract

We include immunity against fire as a new parameter into the self-organized critical forest-fire model. When the immunity assumes a critical value, clusters of burnt trees are identical to percolation clusters of random bond percolation. As long as the immunity is below its critical value, the asymptotic critical exponents are those of the original self-organized critical model, i.e. the system performs a crossover from percolation to self-organized criticality. We present a scaling theory and computer simulation results.

Keywords

CROSSOVER FROM PERCOLATION
COMPUTER SIMULATION
ORGANIZED CRITICAL
INCLUDE IMMUNITY
CRITICAL VALUE
NEW PARAMETER
FOREST FIRE
PERCOLATION

All Related Versions

Version 1, 1994-08-17, ArXiv
Published version: Physical Review E, 50 (4), R2399.

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