Abstract
We study avalanche dynamics on scale-free networks, following a power-law degree distribution, pd(k) ∼ kθ, through the Bak-Tang-Wiesenfeld sandpile model. The threshold height of a node i is set to be ki1-η with 0≤η<1. We obtain the exponents for the avalanche size and the duration distributions analytically as a function of γ and η by using the branching process approach. The analytic solution is checked with numerical simulations on both artificial uncorrelated networks such as the static model and real-world networks. While numerical results of the avalanche size distribution for artificial uncorrelated scale-free networks are in reasonable agreement with the analytic prediction, those for real-world networks are not, which may be attributed to non-trivial degree-degree correlations in real-world networks.
Original language | English |
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Pages (from-to) | 93-103 |
Number of pages | 11 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 346 |
Issue number | 1-2 SPEC. ISS. |
DOIs | |
Publication status | Published - 2005 Feb 1 |
Externally published | Yes |
Keywords
- Avalanche
- Branching process
- Scale-free network
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics