Sandpile avalanche dynamics on scale-free networks

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dc.creatorLee, D. -S.
dc.creatorGoh, K. -I.
dc.creatorKahng, B.
dc.creatorKim, D.
dc.date2004-01-27
dc.date.accessioned2026-07-07T02:56:06Z
dc.date.available2026-07-07T02:56:06Z
dc.descriptionAvalanche dynamics is an indispensable feature of complex systems. Here we study the self-organized critical dynamics of avalanches on scale-free networks with degree exponent $γ$ through the Bak-Tang-Wiesenfeld (BTW) sandpile model. The threshold height of a node $i$ is set as $k_i^{1-η}$ with $0\leqη<1$, where $k_i$ is the degree of node $i$. Using the branching process approach, we obtain the avalanche size and the duration distribution of sand toppling, which follow power-laws with exponents $τ$ and $δ$, respectively. They are given as $τ=(γ-2 η)/(γ-1-η)$ and $δ=(γ-1-η)/(γ-2)$ for $γ<3-η$, 3/2 and 2 for $γ>3-η$, respectively. The power-law distributions are modified by a logarithmic correction at $γ=3-η$.
dc.description8 pages, elsart style
dc.identifierhttps://arxiv.org/abs/cond-mat/0401531
dc.identifierhttp://arxiv.org/abs/cond-mat/0401531
dc.identifierPhysica A 338, 84 (2004)
dc.identifierdoi:10.1016/j.physa.2004.02.028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23191
dc.subjectStatistical Mechanics
dc.titleSandpile avalanche dynamics on scale-free networks
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