Critical behaviour of a forest fire model with immune trees
- 7 December 1994
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 27 (23) , L881-L886
- https://doi.org/10.1088/0305-4470/27/23/003
Abstract
A detailed study of the critical, subcritical and supercritical behaviour of a forest fire model with immune trees is presented and it is demonstrated that the model belongs to the same universality class as Reggeon field theory. Consequently, problems emerging from (apparently) unrelated branches of science such as particle physics, catalysis, directed percolation and epidemic spreading can be understood by means of a unified description.Keywords
This publication has 17 references indexed in Scilit:
- Exact results for the one-dimensional self-organized critical forest-fire modelPhysical Review Letters, 1993
- Theory of the one-dimensional forest-fire modelPhysical Review E, 1993
- Statics of a ‘‘self-organized’’ percolation modelPhysical Review Letters, 1993
- Self-organized critical forest-fire model: Mean-field theory and simulation results in 1 to 6 dimenisonsPhysical Review Letters, 1993
- Forest-fire model with immune treesPhysica A: Statistical Mechanics and its Applications, 1993
- Self-organized critical forest-fire modelPhysical Review Letters, 1992
- On a forest fire model with supposed self-organized criticalityJournal of Statistical Physics, 1991
- A forest-fire model and some thoughts on turbulencePhysics Letters A, 1990
- Reggeon field theory (Schlögl's first model) on a lattice: Monte Carlo calculations of critical behaviourAnnals of Physics, 1979
- Recent developments in Reggeon field theoryPhysics Reports, 1978