Self-organized random walks and stochastic sandpile: from linear to branched avalanches

S.s Manna and A.l Stella

Physica A: Statistical Mechanics and its Applications, 2002, vol. 316, issue 1, 135-143

Abstract: In a model of self-organized criticality unstable sites discharge to just one of their neighbours. For constant discharge ratio α and for a certain range of values of the input energy, avalanches are simple branchless Pólya random walks, and their scaling properties can be derived exactly. If α fluctuates widely enough, avalanches become branched, due to multiple discharges, and behave like those of the stochastic sandpile. At the threshold for branched behaviour, peculiar scaling and anomalous diffusive transport are observed.

Keywords: Self-organized criticality; Sandpile models; Avalanches (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:316:y:2002:i:1:p:135-143

DOI: 10.1016/S0378-4371(02)01497-8

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