非Poissonian时间网络模型中的老化和渗流动力学
Aging and percolation dynamics in a Non-Poissonian temporal network model
摘要：
我们对最近提出的非泊松活性驱动（NoPAD）模型[Moinet等人，Phys.Rev.Lett.，114（2015）]，一个时间网络模型，结合了经验观察到的社交互动的突发性。我们专注于老化效应出现的非泊松动力学的链接激活，以及它们对时间集成网络的拓扑性质，如度分布的影响。本文导出了集成网络度分布随时间变化的解析表达式，探讨了网络的消失极限和强老化极限。我们还解决了这些时间网络上发生的渗透过程，通过计算一个巨大的连接组件的出现的阈值，突出了老化的依赖性。通过对NoPAD模型的大量数值模拟，我们的分析预测得到了检验。
英文摘要：
We present an exhaustive mathematical analysis of the recently proposed Non-Poissonian Ac- tivity Driven (NoPAD) model [Moinet et al. Phys. Rev. Lett., 114 (2015)], a temporal network model incorporating the empirically observed bursty nature of social interactions. We focus on the aging effects emerging from the Non-Poissonian dynamics of link activation, and on their effects on the topological properties of time-integrated networks, such as the degree distribution. Analytic expressions for the degree distribution of integrated networks as a function of time are derived, ex- ploring both limits of vanishing and strong aging. We also address the percolation process occurring on these temporal networks, by computing the threshold for the emergence of a giant connected component, highlighting the aging dependence. Our analytic predictions are checked by means of extensive numerical simulations of the NoPAD model.
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