Sandpile on Scale-Free Networks
نویسندگان
چکیده
منابع مشابه
Sandpile on scale-free networks.
We investigate the avalanche dynamics of the Bak-Tang-Wiesenfeld sandpile model on scale-free (SF) networks, where the threshold height of each node is distributed heterogeneously, given as its own degree. We find that the avalanche size distribution follows a power law with an exponent tau. Applying the theory of the multiplicative branching process, we obtain the exponent tau and the dynamic ...
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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 k1− i with 06 ¡ 1, where ki is the degree of node i. Using the branching process approach, we obtain the avalanche size and...
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We study avalanche dynamics on scale-free networks, following a power-law degree distribution, pd ðkÞ k ; through the Bak–Tang–Wiesenfeld sandpile model. The threshold height of a node i is set to be k 1 Z i with 0pZo1: We obtain the exponents for the avalanche size and the duration distributions analytically as a function of g and Z by using the branching process approach. The analytic solutio...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2003
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.91.148701