Citation

Rybski D, Butsic V, Kantelhardt JW. Phys. Rev. E 2021; 104(1): L012201.

Copyright

(Copyright © 2021, American Physical Society)

DOI

10.1103/PhysRevE.104.L012201

PMID

unavailable

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/f^{2} scaling (Brownian noise) at the low frequencies f, which turns into white noise for very long simulation times.

Language: en