Sandpile avalanche dynamics on scale-free networks

D. S. Lee, K. I. Goh, B. Kahng, D. Kim

Research output: Contribution to journalArticlepeer-review

59 Citations (Scopus)


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 ki 1-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 - 2η)/(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.

Original languageEnglish
Pages (from-to)84-91
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-2 SPEC. ISS.
Publication statusPublished - 2004 Jul 1
Externally publishedYes

Bibliographical note

Funding Information:
This work is supported by the KOSEF Grant No. R14-2002-059-01000-0 in the ABRL program.


  • Avalanche
  • Branching process
  • Scale-free network

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics


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