具有慢启动规则的双车道交通流模型的亚稳态
Metastable States in Two-Lane Traffic Flow Models With Slow-To-Start Rule
摘要：
利用计算机模拟，我们表明，亚稳态仍然发生在两车道交通模型慢启动规则。然而，这些亚稳态不再存在于存在侵略性驱动器（\textit{which do not look back before changing lanes}）的系统中。实际上，电路中仅存在一个积极驱动器会触发高流量状态的击穿。在这些系统中，稳态是唯一的，其松弛动力学应取决于车道变换概率$p_{ch}$和电路中存在的激进驾驶员的数量。研究还发现，弛豫时间$τ$以幂律形式发散：$τ\propto p_{ch}^{-β}, β=1$。
英文摘要：
Using computer simulations, we show that metastable states still occur in two-lane traffic models with slow to start rules. However, these metastable states no longer exist in systems where aggressive drivers (\textit{which do not look back before changing lanes}) are present. Indeed, the presence of only one aggressive driver in the circuit, triggers the breakdown of the high flow states. In these systems, the steady state is unique and its relaxation dynamics should depend on the lane changing probability $p_{ch}$ and the number of aggressive drivers present in the circuit. It is found also that the relaxation time $τ$ diverges as the form of a power-law : $τ\propto p_{ch}^{-β}, β=1$.
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