论文标题
流量流有多种淬火疾病
Traffic flow with multiple quenched disorders
论文作者
论文摘要
我们通过在纽厄尔（Newell）跟随汽车跟踪模型的所有参数中引入淬火性疾病来研究异质的交通动态。具体而言，我们考虑自由流速度，果酱密度和向后波速的随机性。使用β分布对淬火疾病进行建模。据观察，在低密度下，平均排尺寸和车辆的平均速度随着Ben-Naim，Krapivsky和Redner（BKR）的及时而发展。在密度和密度分布函数的第二矩的时间演变中未观察到幂律行为，这表明本系统和粘性气体之间没有等效性。与完全不对称的简单排除过程（TASEP）相反，我们发现固定间隙分布中没有幂律行为，并且从排形成阶段到层状相的过渡与自由流向拥堵过渡到层状相结合，并且始终是一阶，独立于自由流速度的猝灭障碍。使用平均场理论，我们得出了车辆的间隙分布，并表明该相变始终是一阶，与自由流速度中的淬火障碍无关，证实了模拟结果。我们还表明，过渡密度是热力学极限中车辆中车辆的平均间隙的相互隔离。
We study heterogeneous traffic dynamics by introducing quenched disorders in all the parameters of Newell's car-following model. Specifically, we consider randomness in the free-flow speed, the jam density, and the backward wave speed. The quenched disorders are modeled using beta distributions. It is observed that, at low densities, the average platoon size and the average speed of vehicles evolve as power-laws in time as derived by Ben-Naim, Krapivsky, and Redner (BKR). No power-law behavior has been observed in the time evolution of the second moment of density and density distribution function indicating no equivalence between the present system and the sticky gas. As opposed to a totally asymmetric simple exclusion process (TASEP), we found no power-law behavior in the stationary gap distribution and the transition from the platoon forming phase to the laminar phase coincides with the free-flow to congestion transition and is always of first-order, independent of the quenched disorder in the free-flow speed. Using mean-field theory, we derived the gap distribution of vehicles and showed that the phase transition is always of first-order, independent of the quenched disorder in the free-flow speed corroborating the simulation results. We also showed that the transition density is the reciprocal of the average gap of vehicles in the platoon in the thermodynamic limit.
