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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Sandpile on scale-free networks with assortative mixing
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Sandpile on scale-free networks with assortative mixing

机译：在无标度网络上进行沙粒混合混合

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摘要

We numerically investigate the Bak-Tang-Wiesenfeld sandpile model on scale-free networks with assortative mixing, where the threshold height of each node is equal to its degree. It is observed that a large fraction of multiple topplings are included in avalanches on assortative networks, which is absent on uncorrelated networks. We introduce a parameter (F) over bar (a) to characterize the fraction of multiple topplings in avalanches of area a. The fraction of multiple topplings increases dramatically with the degree of assortativity and has a peak for small a whose height also increase with the assortativity of the networks. Unlike the case on uncorrelated networks, the distributions of avalanche size, area and duration do not follow pure power law, but deviate more obviously from pure power law with the growing degree of assortativity. The results show that the assortative mixing has a strong influence on the behavior of avalanche dynamics on complex networks.
机译：我们在无标度网络上通过分类混合对Bak-Tang-Wiesenfeld沙堆模型进行了数值研究，其中每个节点的阈值高度等于其度数。可以观察到，在分类网络上的雪崩中包含了大部分的多个倒塌，而在不相关的网络上则没有。我们在杆（a）上引入参数（F），以表征面积a的雪崩中多个倾倒的比例。多个倒塌的分数随分类度的增加而急剧增加，并有一个较小的峰值，其高度也随网络分类度的增加而增加。与不相关网络的情况不同，雪崩的大小，面积和持续时间的分布不遵循纯幂定律，而是随着分类度的增加而明显偏离纯幂定律。结果表明，分类混合对雪崩动力学在复杂网络上的行为有很大的影响。

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