Crossover from Percolation to Self-Organized Criticality

Details Crossover from Percolation to Self-Organized Criticality Crossover from Percolation to Self-Organized Criticality

1994-08-17

arxiv.org/abs/cond-mat/9408045v1

Physics

Condensed Matter

4 pages Revtex, two figures included, to be published in PRE

Scientific paper

10.1103/PhysRevE.50.R2399

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.

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