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Sandpile Dynamics Driven by Degree on Scale-Free Networks
作者姓名:殷艳萍  张端明  潘贵军  何敏华
作者单位:[1]Department of Physics, Huazhong University of Science and Technology, Wuhan 430074 [2]Faculty of Physics and Electronic Technology, Hubei University, Whan 430062
基金项目:Supported by the National Natural Science Foundation of China under Grant Nos 10675048 and 10604017.
摘    要:We introduce a sandpile model driven by degree on scale-free networks, where the perturbation is triggered at nodes with the same degree. We numerically investigate the avalanche behaviour of sandpile driven by different degrees on scale-free networks. It is observed that the avalanche area has the same behaviour with avalanche size. When the sandpile is driven at nodes with the minimal degree, the avalanches of our model behave similarly to those of the original Bak-Tang-Wiesenfeld (BTW) model on scale-free networks. As the degree of driven nodes increases from the minimal value to the maximal value, the avalanche distribution gradually changes from a clean power law, then a mixture of Poissonian and power laws, finally to a Poisson-like distribution. The average avalanche area is found to increase with the degree of driven nodes so that perturbation triggered on higher-degree nodes will result in broader spreading of avalanche propagation.

关 键 词:干扰仪  离子雪崩  沙堆模型  离子碰撞
收稿时间:2007-2-6
修稿时间:2007-02-06

Sandpile Dynamics Driven by Degree on Scale-Free Networks
YIN Yan-Ping,ZHANG Duan-Ming,PAN Gui-Jun,HE Min-Hua.Sandpile Dynamics Driven by Degree on Scale-Free Networks[J].Chinese Physics Letters,2007,24(8):2200-2203.
Authors:YIN Yan-Ping  ZHANG Duan-Ming  PAN Gui-Jun  HE Min-Hua
Institution:1 Department of Physics, Huazhong University of Science and Technology, Wuhan 430074 ; 2 Faculty of Physics and Electronic Technology, Hubei University, Whan 430062
Abstract:We introduce a sandpile model driven by degree on scale-free networks, where the perturbation is triggered at nodes with the same degree. We numerically investigate the avalanche behaviour of sandpile driven by different degrees on scale-free networks. It is observed that the avalanche area has the same behaviour with avalanche size. When the sandpile is driven at nodes with the minimal degree, the avalanches of our model behave similarly to those of the original Bak--Tang--Wiesenfeld (BTW) model on scale-free networks. As the degree of driven nodes increases from the minimalvalue to the maximal value, the avalanche distribution gradually changes from a clean power law, then a mixture of Poissonian and power laws, finally to a Poisson-like distribution. The average avalanche area is found to increase with the degree of driven nodes so that perturbation triggered on higher-degree nodes will result in broader spreading of avalanche propagation.
Keywords:05  65  +b  05  10  -a  45  70  Ht  89  75  Hc
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