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arXiv 1908.11814physics.soc-phcs.CY
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循环迁移的场论

Field theory for recurrent mobility

Mattia Mazzoli, Alex Molas, Aleix Bassolas, Maxime Lenormand, Pere Colet, Jose J. Ramasco

摘要:

了解人类流动性对于预测传染病传播、规划交通基础设施和城市化等应用至关重要。虽然传统上通过调查收集移动信息,但移动技术的普遍采用带来了丰富的(实时)数据。容易获得这些信息为研究迄今尚未探索的理论问题打开了大门。在这项工作中,我们证明了一系列的全球城市,通勤日常流量可以映射到一个良好的行为向量场,满足发散定理,这是,此外,无旋。这个属性使我们能够定义一个潜在的领域,可以成为一个主要的工具,以确定单独的流动性盆地和辨别连续的城市地区。我们还表明,经验通量和潜力可以很好地再现和分析的特点,使用所谓的重力模型,而其他模型的基础上干预的机会有严重的困难。

英文摘要:

Understanding human mobility is crucial for applications such as forecasting epidemic spreading, planning transport infrastructure and urbanism in general. While, traditionally, mobility information has been collected via surveys, the pervasive adoption of mobile technologies has brought a wealth of (real time) data. The easy access to this information opens the door to study theoretical questions so far unexplored. In this work, we show for a series of worldwide cities that commuting daily flows can be mapped into a well behaved vector field, fulfilling the divergence theorem and which is, besides, irrotational. This property allows us to define a potential for the field that can become a major instrument to determine separate mobility basins and discern contiguous urban areas. We also show that empirical fluxes and potentials can be well reproduced and analytically characterized using the so-called gravity model, while other models based on intervening opportunities have serious difficulties.

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