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Efficient algorithm for the forest fire model.

Gunnar Pruessner1, Henrik Jeldtoft Jensen

  • 1Department of Mathematics, Imperial College London, 180 Queen's Gate, London SW7 2BZ, United Kingdom. gunnar.pruessner@physics.org

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 9, 2005
PubMed
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The Drossel-Schwabl forest fire model, previously thought to be critical, lacks simple scaling. Our research demonstrates this model is not critical, challenging prior assumptions in self-organized criticality studies.

Area of Science:

  • Physics
  • Complex Systems
  • Statistical Mechanics

Background:

  • The Drossel-Schwabl forest fire model is a well-established model for non-conservative self-organized criticality.
  • Previous studies suggested the model exhibits critical behavior.

Purpose of the Study:

  • To re-evaluate the criticality of the Drossel-Schwabl forest fire model using a novel algorithm.
  • To investigate the model's scaling properties on large statistical and spatial scales.

Main Methods:

  • Development and application of an alternative algorithm for studying the Drossel-Schwabl model.
  • Parallel implementation of the algorithm for large-scale numerical simulations.
  • Analysis of scaling behavior and various observables.

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Main Results:

  • The Drossel-Schwabl forest fire model was shown to lack simple scaling.
  • Numerical results indicate the model is not critical, contrary to previous findings.
  • The developed algorithm is adaptable to related problems like percolation.

Conclusions:

  • The Drossel-Schwabl forest fire model does not exhibit simple scaling and is not critical.
  • The new algorithm provides a robust method for analyzing complex systems at large scales.
  • This work necessitates a re-evaluation of self-organized criticality in similar models.