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  • Letter

Self-organized multistability in the forest fire model

Diego Rybski, Van Butsic, and Jan W. Kantelhardt
Phys. Rev. E 104, L012201 – Published 29 July 2021
Physics logo See synopsis: New Behaviors from an Old Forest Fire Model

Abstract

The forest fire model in statistical physics represents a paradigm for systems close to but not completely at criticality. For large tree growth probabilities p we identify periodic attractors, where the tree density ρ oscillates between discrete values. For lower p this self-organized multistability persists with incrementing numbers of states. Even at low p the system remains quasiperiodic with a frequency p on the way to chaos. In addition, the power-spectrum shows 1/f2 scaling (Brownian noise) at the low frequencies f, which turns into white noise for very long simulation times.

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  • Received 23 April 2021
  • Accepted 17 June 2021

DOI:https://doi.org/10.1103/PhysRevE.104.L012201

©2021 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

synopsis

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New Behaviors from an Old Forest Fire Model

Published 29 July 2021

Self-organizing properties, unnoticed for decades, are observed in changes in the density of trees in a forest that can catch fire.

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Authors & Affiliations

Diego Rybski*

  • Potsdam Institute for Climate Impact Research–PIK, Member of Leibniz Association, P.O. Box 601203, 14412 Potsdam, Germany Department of Environmental Science Policy and Management, University of California Berkeley, 130 Mulford Hall #3114, Berkeley, California 94720, USA; and Complexity Science Hub Vienna, Josefstädterstrasse 39, A-1090 Vienna, Austria

Van Butsic

  • Department of Environmental Science Policy and Management, University of California Berkeley, 130 Mulford Hall #3114, Berkeley, California 94720, USA

Jan W. Kantelhardt

  • Institute of Physics, Martin-Luther-University Halle-Wittenberg, 06099 Halle, Germany

  • *ca-dr@rybski.de

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Issue

Vol. 104, Iss. 1 — July 2021

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