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Sandpile avalanche dynamics on scale-free networks

✍ Scribed by D.-S. Lee; K.-I. Goh; B. Kahng; D. Kim

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
201 KB
Volume
338
Category
Article
ISSN
0378-4371

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✦ Synopsis

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 through the Bak-Tang-Wiesenfeld (BTW) sandpile model. The threshold height of a node i is set as k 1-Á i with 0 6 Á ‘ 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 and , respectively. They are given as =( -2Á)=( -1-Á) and = ( -1 -Á)=( -2) for ‘ 3 -Á, 3=2 and 2 for ¿ 3 -Á, respectively. The power-law distributions are modiÿed by a logarithmic correction at = 3 -Á.

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