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 τ and δ, respectively, Applying the theory of the multiplicative branching process, we find that the exponents τ and δ are given as τ = γ (γ-1) and δ = (γ-1)/(γ-2) for the degree distribution pd(k) ∼ k -γ with 2 < γ < 3, with a logarithmic correction at γ = 3, while they are 3/2 and 2, respectively, for γ > 3 and when pd(k) follows an exponential-type distribution. The analytic solutions are supported by our numerical simulation results.
|Number of pages||5|
|Journal||Journal of the Korean Physical Society|
|Issue number||3 I|
|Publication status||Published - 2004 Mar 1|
- Complex network
ASJC Scopus subject areas
- Physics and Astronomy(all)