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Physics of Nucleation on Roads

机译:道路成核物理学

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Although the experimental situation on freeways is rather complex, we believe that some general features of traffic flow exist which can be described by relatively simple models. Dynamical models for car cluster formation based on stochastic methods (master equation, Langevin equation, Fokker-Planck-equation) have not been extensively exploited so far in traffic theory. It is the aim of the present contribution to present a stochastic description of jam formation in synchronized traffic using master equation approach. The main and central point is to construct the transition probabilities for the jump processes to condensate one free car to a car cluster or to evaporate the first congested car into free flow. This method allows us to interpret the phase transitions between different states of traffic flow in analogy to aggregation phenomena in metastable and unstable systems like supersaturated van der Waals gases.
机译:尽管高速公路上的实验情况相当复杂,但我们认为存在一些交通流的一般特征,这些特征可以通过相对简单的模型来描述。到目前为止,在交通理论中尚未广泛开发基于随机方法(主方程,Langevin方程,Fokker-Planck方程)的汽车集群形成动力学模型。本贡献的目的是使用主方程方法对同步交通中的堵塞形成进行随机描述。主要和中心点是构造跳跃过程的过渡概率,以将一辆免费的汽车冷凝成一个汽车集群或将第一个拥挤的汽车蒸发成自由流动。这种方法使我们能够以类似于亚稳态和不稳定系统(例如过饱和范德华气体)中的聚集现象的方式解释交通流不同状态之间的相变。

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