Scaling of connected spin avalanches in growing networks

作     者：Joanna Tomkowicz Krzysztof Kułakowski 

作者机构：Faculty of Physics and Applied Computer Science AGH University of Science and Technology al. Mickiewicza 30 PL-30059 Kraków Poland 

出 版 物：《Physical Review E》 (物理学评论E辑：统计、非线性和软体物理学)

年 卷 期：2010年第81卷第5期

页      面：052101-052101页

核心收录：

学科分类：07[理学] 070203[理学-原子与分子物理] 0702[理学-物理学] 

基　　金：EU 

主　　题：Personal communication systems 

摘      要：We use the damage spreading method to investigate the spectra of connected spin avalanches in the exponential networks and the scale-free networks with antiferromagnetically coupled spins. The results suggest that the avalanche spectra are characterized by the same statistics as the degree distribution in their home networks. Further, the obtained mean range Z of an avalanche, i.e., the maximal distance reached by an avalanche from the damaged site, scales with the avalanche size s as Z/Nβ=f(s/Nα), where α=0.5 and β=0.33. These values are true for both kinds of networks for the number M of nodes to which new nodes are attached between 4 and 10; a check for M=25 confirms these values as well.