scholarly journals System-size independence of a large deviation function for frequency of events in a one-dimensional forest-fire model with a single ignition site

2014 ◽  
Vol 47 (14) ◽  
pp. 145001
Author(s):  
Tetsuya Mitsudo
Keyword(s):  
Forest Fire ◽  
Large Deviation ◽  
System Size ◽  
Deviation Function ◽  
Fire Model ◽  
One Dimensional ◽  
Large Deviation Function ◽  
Forest Fire Model ◽  
Ignition Site

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 Exact results for the one-dimensional self-organized critical forest-fire model

1993 ◽  
Vol 71 (23) ◽  
pp. 3739-3742 ◽  
Author(s):  
Barbara Drossel ◽  
Siegfried Clar ◽  
Franz Schwabl
Keyword(s):  
Forest Fire ◽  
Exact Results ◽  
Fire Model ◽  
One Dimensional ◽  
Self Organized ◽  
Forest Fire Model ◽  
The One

scholarly journals Solitons in the One-Dimensional Forest Fire Model

2001 ◽  
Vol 86 (11) ◽  
pp. 2475-2477 ◽  
Author(s):  
Per Bak ◽  
Kan Chen ◽  
Maya Paczuski
Keyword(s):  
Forest Fire ◽  
Fire Model ◽  
One Dimensional ◽  
Forest Fire Model ◽  
The One
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