【摘要】 研究具有幂率度分布的随机图上的损伤扩散.利用幸存者统计对损伤扩散过程中的各类个体变化进行了分析和分类,指出幸存者的数量和Hamming距离一样可以作为损伤扩散相变的指示器.讨论了利用平均位损伤作为损伤扩散新测度的可能性,结果表明,幸存者、平均位损伤等概念的引入加深了对具有幂率度分布的随机图上的损伤扩散的理解.更多还原

【Abstract】 Damage spreading on the random graphs with power-law degree distributions is investigated using Glauber dynamics.By terms of the definition of the "survivors",we present a detailed analysis and classification for the different nodes(sites) of the network.Results show that the numbers of the survivors can also be used as an index of the phase transition of the damage spreading.The average site damage is introduced and the possibility that the average site damage could be used as a new measure for the damage spreading is discussed.It is shown that using the concepts of the survivors and the average site damage enables us to give an insight in the nature of the damage spreading in a more detailed way,compared to the regular Hamming distance method.更多还原