Impact of effective injection rates on density and phase diagram at the branching point
Impact of effective injection rates on density and phase diagram at the branching point
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有效注入速率对分支点密度和相图的影响
DOI：
10.1142/s0217979218502910
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发表时间：
2018-10
影响因子：
1.7
通讯作者：
Yanna Liu
中科院分区：
文献类型：
--
作者：
Song Xiao;Xiaoyu Chen;Ruquan Liang;Yanna Liu
本文通过理论计算和计算机模拟研究了分支点不同有效注入速率对密度分布和相图的影响。在分支点处，单车道被分成两个子车道。满足p+q = 1和p [公式：见正文] q的变量p和q分别用于描述进入两个子通道的电流的百分比。在不同的有效注入速率下，相图分为三个区域和两条过渡线。显然，子通道2总是处于低密度（LD）阶段，因为小的p导致较少的颗粒移动通过子通道2。然而，副车道3在高密度（HD）阶段（即，交通堵塞）中是容易的，因为大的q。此外，当入口率[公式：见正文] [公式：见正文] 0.5时，车道1的电流经常处于最大电流（MC）。随着q值的增加，LD/LD/LD和MC/LD/LD相的区域急剧缩小，而HD/LD/HD相的区域只扩大。这一结果意味着相图的变化是由变量q决定的，同时，大的q将可能导致交通拥堵。
In this paper, the effects of different effective injection rates at the branching point on density profiles and phase diagram have been investigated by theoretical calculation and computer simulation. At the branching point, a single-lane is divided into two sub-lanes. The variables p and q which satisfy p+q = 1 and p [Formula: see text] q are used to describe the percent of currents which enter two sub-channels, respectively. With different effective injection rates, the phase diagram includes three regions and two transition lines. Obviously, the sub-lane 2 is always in the low-density (LD) phase because the small p leads to fewer particles moving through sub-lane 2. However, sub-lane 3 is easy in the high-density (HD) phase (namely, traffic jam) because of the large q. In addition, the current of lane 1 is often in the maximal current (MC) when entrance rate [Formula: see text] [Formula: see text] 0.5. With the increase of variable q, the regions of LD/LD/LD and MC/LD/LD phases shrink dramatically while the region of the HD/LD/HD phase only expands. This result implies that the changes of the phase diagram are determined by the variable q, meanwhile, the large q will likely lead to traffic congestion.
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