Abstract
We investigate the avalanche dynamics of the Bak-Tang-Wiesenfeld (BTW) sandpile model on complex networks with general degree distributions. With the threshold height of each node given as its degree in the model, self-organized criticality emerges such that the avalanche size and the duration distribution follow power laws with exponents and , respectively. Applying the theory of the multiplicative branching process, we nd that the exponents and are given as = = ( 1) and = ( 1)=( 2) for the degree distribution pd(k) k with 2 3 and when pd(k) follows an exponential-type distribution. The analytic solutions are supported by our numerical simulation results.
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