An inverse-cascade model for self-organized critical behavior

D.L. Turcotte, B.D. Malamud, G. Morein and W.I. Newman

Physica A: Statistical Mechanics and its Applications, 1999, vol. 268, issue 3, 629-643

Abstract: We introduce an inverse-cascade model to explain self-organized critical behavior. This model is motivated by the forest-fire model. In the forest-fire model trees are randomly planted on a grid, sparks are also dropped on the grid resulting in fires in which trees are lost. In the inverse-cascade model single trees are introduced and these combine to form larger and larger clusters. This is the inverse cascade and gives a power-law (fractal) frequency-size distribution of clusters. Model fires eliminate trees from all cluster sizes but significant numbers of trees are lost only from the largest clusters and this loss terminates the power-law scaling. Finally, our model illustrates important differences between critical and self-organized critical behavior.

Keywords: Self-organized criticality; Fractals; Inverse-cascade model; Forest-fire model (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:268:y:1999:i:3:p:629-643

DOI: 10.1016/S0378-4371(99)00092-8

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