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The BTW mechanism on a self-similar image of a square: A path to unexpected exponents

We define the BTW mechanism on a two-dimensional heterogeneous self-similar lattice. Our model exhibits the power distribution of avalanches with the exponent τ=2−2/ν, where ν is the similarity exponent of the lattice. The inequality τ<1, for the first time detected in this paper inside a broad class of sand-piles, is ensured by random loading uniformly distributed over the lattice.
Year of publication:
2012
Authors: Shapoval, A.B. ; Shnirman, M.G.
Published in:
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 391.2012, 1, p. 15-20
Publisher: Elsevier
Subject: Self-organized criticality | Similarity exponent | Heterogeneous sand-pile | Scaling
Type of publication: Article
Source:
Persistent link: https://www.econbiz.de/10011063927
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