移动代理网络上的运输动力学
Transportation dynamics on networks of mobile agents
摘要：
现有的交通动力学研究大多集中在固定结构的网络上，但移动节点的网络已经变得普遍，如手机网络。我们引入一个模型来探索移动网络上的基本物理传输。特别感兴趣的是依赖于代理移动的速度和通信范围的吞吐量。我们的计算揭示了前者的层次依赖性，而对于后者，我们发现一个代数幂律之间的吞吐量和通信范围的指数确定的速度。我们发展了一个基于福克-普朗克方程的物理理论来解释这些现象。我们的研究结果为自然和工程系统中常见的复杂运输动力学提供了见解。
英文摘要：
Most existing works on transportation dynamics focus on networks of a fixed structure, but networks whose nodes are mobile have become widespread, such as cell-phone networks. We introduce a model to explore the basic physics of transportation on mobile networks. Of particular interest are the dependence of the throughput on the speed of agent movement and communication range. Our computations reveal a hierarchical dependence for the former while, for the latter, we find an algebraic power law between the throughput and the communication range with an exponent determined by the speed. We develop a physical theory based on the Fokker-Planck equation to explain these phenomena. Our findings provide insights into complex transportation dynamics arising commonly in natural and engineering systems.
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