2004/01/27 by D. -S. Lee, K. -I. Goh, B. Kahng +1 · 1 citation
Physics and Astronomy · #cond-mat.stat-mech
paper · pdf · doi:10.1016/j.physa.2004.02.028
published as Physica A 338, 84 (2004) · 8 pages, elsart style
arxiv created 2004/01/27 · arxiv updated 2009/12/01
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-2 η)/(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.