Sandpile avalanche dynamics on scale-free networks

D.-S. Lee, K.-I. Goh, B. Kahng and D. Kim

Physica A: Statistical Mechanics and its Applications, 2004, vol. 338, issue 1, 84-91

Abstract: Avalanche 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 ki1−η with 0⩽η<1, where ki 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−2η)/(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.

Keywords: Avalanche; Scale-free network; Branching process (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:338:y:2004:i:1:p:84-91

DOI: 10.1016/j.physa.2004.02.028

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