Publisher’s Note: Phase diagram and critical behavior of a forest-fire model in a gradient of immunity [Phys. Rev. E83, 011125 (2011)]

2011 ◽  
Vol 83 (2) ◽  
Author(s):  
Nara Guisoni ◽  
Ernesto S. Loscar ◽  
Ezequiel V. Albano
Keyword(s):  
Phase Diagram ◽  
Forest Fire ◽  
Critical Behavior ◽  
Fire Model ◽  
Forest Fire Model

Forest Fires

2017 ◽  
Author(s):  
Paul Charbonneau
Keyword(s):  
Forest Fire ◽  
Forest Fires ◽  
Model Simulation ◽  
Percolation Cluster ◽  
Natural Process ◽  
Wildfire Management ◽  
Fire Model ◽  
Self Organized ◽  
Forest Fire Model ◽  
Self Organized Criticality

This chapter explores how a “natural” process generates dynamically something that is conceptually similar to a percolation cluster by using the case of forest fires. It first provides an overview of the forest-fire model, which is essentially a probabilistic cellular automata, before discussing its numerical implementation using the Python code. It then describes a representative simulation showing the triggering, growth, and decay of a large fire in a representative forest-fire model simulation on a small 100 x 100 lattice. It also considers the behavior of the forest-fire model as well as its self-organized criticality and concludes with an analysis of the advantages and limitations of wildfire management. The chapter includes exercises and further computational explorations, along with a suggested list of materials for further reading.

scholarly journals Universality in the One-Dimensional Self-Organized Critical Forest-Fire Model

1994 ◽  
Vol 49 (9) ◽  
pp. 856-860
Author(s):  
Barbara Drossel ◽  
Siegfried Clar ◽  
Franz Schwabl
Keyword(s):  
Size Distribution ◽  
Forest Fire ◽  
Nearest Neighbor ◽  
The Self ◽  
One Dimension ◽  
Fire Model ◽  
One Dimensional ◽  
Self Organized ◽  
Forest Fire Model ◽  
The One

Abstract We modify the rules of the self-organized critical forest-fire model in one dimension by allowing the fire to jum p over holes of ≤ k sites. An analytic calculation shows that not only the size distribution of forest clusters but also the size distribution of fires is characterized by the same critical exponent as in the nearest-neighbor model, i.e. the critical behavior of the model is universal. Computer simulations confirm the analytic results.

scholarly journals Phase transitions in a forest-fire model

1997 ◽  
Vol 55 (3) ◽  
pp. 2174-2183 ◽  
Author(s):  
S. Clar ◽  
K. Schenk ◽  
F. Schwabl
Keyword(s):  
Phase Transitions ◽  
Forest Fire ◽  
Fire Model ◽  
Forest Fire Model
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