کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9728041 | 1480216 | 2005 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Cascading toppling dynamics on scale-free networks
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We study avalanche dynamics on scale-free networks, following a power-law degree distribution, pd(k)â¼k-γ, 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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 346, Issues 1â2, 1 February 2005, Pages 93-103
Journal: Physica A: Statistical Mechanics and its Applications - Volume 346, Issues 1â2, 1 February 2005, Pages 93-103
نویسندگان
K.-I. Goh, D.-S. Lee, B. Kahng, D. Kim,