arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 1302.2878cond-mat.stat-mech
收藏

双车道路段的车辆密度是否取决于单车道路段的车辆位置?

Can car density in a two-lane section depend on the position of the latter in a single-lane road?

Nina Pesheva, Jordan Brankov

摘要:

我们在这里报告的结果完全不对称的简单排斥过程(TASEP),定义在一个开放的网络,由头部和尾部简单的链段与双链节插入之间的研究。数值模拟的结果相对较短的链揭示了一个有趣的新功能的网络。当通过系统的电流达到最大值时,沿着网络向前或向后的双链部分的简单平移会导致平行链中密度分布形状的急剧变化,从而影响网络该部分中的汽车总数。在注入和排出速率相等(α= β>1/2)、头部和尾部长度相等的对称情况下,两条平行链中的密度分布几乎是线性的,这是共存线(激波相)的特征。在向前(向后)移动截面时,它们的形状变为简单链的高(低)密度相的典型形状。同时,还计算了平行链数量较多路段的车辆总体积密度。观察到的效果可能有有趣的影响交通流量控制以及在活细胞中的生物运输过程。这种现象的解释提供了在双链段的两端的有效注入和排出速率的有限尺寸的依赖性。

英文摘要:

We report here results on the study of the totally asymmetric simple exclusion processes (TASEP), defined on an open network, consisting of head and tail simple chain segments with a double-chain section inserted in-between. Results of numerical simulations for relatively short chains reveal an interesting new feature of the network. When the current through the system takes its maximum value, a simple translation of the double-chain section forward or backward along the network, leads to a sharp change in the shape of the density profiles in the parallel chains, thus affecting the total number of cars in that part of the network. In the symmetric case of equal injection and ejection rates (α= β>1/2) and equal lengths of the head and tail sections, the density profiles in the two parallel chains are almost linear, characteristic for the coexistence line (shock phase). Upon moving the section forward (backward), their shape changes to the one typical for the high (low) density phases of a simple chain. The total bulk density of cars in a section with a large number of parallel chains is evaluated too. The observed effect might have interesting implications for the traffic flow control as well as for biological transport processes in living cells. An explanation of this phenomenon is offered in terms of finite-size dependence of the effective injection and ejection rates at the ends of the double-chain section.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑