Self-Organized Criticality and Synchronization in the Forest-Fire Model
Barbara Drossel (MIT)
TL;DR
This paper investigates the forest-fire model, revealing how different tree growth rules lead to self-organized criticality, synchronization, or intermediate behaviors, with analytical insights applicable across dimensions.
Contribution
It provides an analytical framework for understanding how growth rules influence criticality and synchronization in the forest-fire model across dimensions.
Findings
Self-organized criticality depends on growth rules with rule-dependent exponents.
Synchronization occurs under certain growth conditions.
Intermediate behaviors emerge between criticality and synchronization.
Abstract
Depending on the rule for tree growth, the forest-fire model shows either self-organized criticality with rule-dependent exponents, or synchronization, or an intermediate behavior. This is shown analytically for the one-dimensional system, but holds evidently also in higher dimensions.
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