Critical behavior of propagation on small-world networks
Critical behavior of propagation on small-world networks
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DOI：
10.1103/physreve.64.050901
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发表时间：
2001-11-01
影响因子：
2.4
通讯作者：
Zanette, DH
中科院分区：
文献类型：
--
作者：
Zanette, DH
我们报告了数字证据，表明流行病模型（可以解释为谣言的传播）在底层小世界网络的有限随机性下表现出关键行为。这种转变发生在谣言在其起源的一小部分区域“消亡”的政权和谣言在整个人口的有限部分中传播的政权之间。通过有限尺寸尺度分析评估临界指数，并研究临界随机性与网络连通性的依赖性。该系统作为小网络随机性函数的行为与最近报道的流行病学模型具有明显的相似性 [M.库珀曼和 G. 艾布拉姆森，物理学家。莱特牧师。 86, 2909 (2001)]，尽管各自的动力学规则存在很大差异。
We report numerical evidence that an epidemiclike model, which can be interpreted as the propagation of a rumor, exhibits critical behavior at a finite randomness of the underlying small-world network. The transition occurs between a regime where the rumor "dies" in a small neighborhood of its ori.-in, and a regime where it spreads over a finite fraction of the whole population. Critical exponents are evaluated through finite-size scaling analysis, and the dependence of the critical randomness with the network connectivity is studied. The behavior of this system as a function of the small-network randomness bears noticeable similarities with an epidemiological model reported recently [M. Kuperman and G. Abramson, Phys. Rev. Lett. 86, 2909 (2001)], in spite of substantial differences in the respective dynamical rules.