### 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 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.

Original language | English |
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Pages (from-to) | 633-637 |

Number of pages | 5 |

Journal | Journal of the Korean Physical Society |

Volume | 44 |

Issue number | 3 I |

Publication status | Published - 2004 Mar 1 |

Externally published | Yes |

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### Keywords

- Avalanche
- Complex network

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Korean Physical Society*,

*44*(3 I), 633-637.