论文标题
在活动粒子系统中的爆发和信息传播
Burstiness and information spreading in the active particles systems
论文作者
论文摘要
我们使用Vicsek模型描述的二维活动粒子系统构建时间网络。研究特定颗粒的事件时期的爆发进行了数值研究。我们发现，对于不同的噪声强度，目标边缘的间隔时间的分布是通过重尾的，揭示了信号的强烈爆发。为了进一步表征爆发的性质，计算出爆发参数和内存系数。结果表明，在Vicsek模型的临界点附近，爆发参数达到每个密度的最小值，表明Vicsek模型的相变与信号的爆发性质之间存在关系。此外，记忆在爆发中起着可忽略的作用。此外，我们使用易感感染模型研究了我们的时间网络上的扩展动力学，并观察到爆发性与信息传播动力学之间的正相关。
We construct the temporal network using the two-dimensional active particle systems which are described by the Vicsek model. The bursts of the interevent times for a specific pair of particles are investigated numerically. We find that for different noise strength, the distribution of the interevent times of a target edge follows by a heavy-tail, revealing a strong burstiness of the signals. To further characterize the nature of the burstiness, the burstiness parameter and the memory coefficient are calculated. The results show that near the critical points of the Vicsek model, the burstiness parameters reach the minimum values for each density, indicating a relation between the phase transition of the Vicsek model and the bursty nature of the signals. Besides, the memory plays a negligible role in the burstiness. Further, we investigate the spreading dynamics on our temporal network with the susceptible-infected model, and observe a positive correlation between the burstiness and the information spreading dynamics.
