Forest-fire model with immune trees

B. Drossel and F. Schwabl

Physica A: Statistical Mechanics and its Applications, 1993, vol. 199, issue 2, 183-197

Abstract: We present a generalization of the forest-fire model of P. Bak et al. by including the immunity g which is the probability that a tree is not ignited although one of its neighbors is burning. When g reaches a critical value gc(p), which depends on the tree growth rate p, the fire cannot survive any more, i.e. a continuous phase transition takes place from a steady state with fire to a steady state without fire. We present results of computer simulations and explain them by analytic calculations. The fire spreading at the phase transition represents a new type of percolation which is called “fluctuating site percolation”.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:199:y:1993:i:2:p:183-197

DOI: 10.1016/0378-4371(93)90001-K

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