Existence of spontaneous symmetry breaking in two-lane totally asymmetric simple exclusion processes with an intersection

We study two-lane totally asymmetric simple exclusion processes(TASEPs)with an intersection.Monte Carlo simulations show that only symmetric phases exist in the system.To verify the existence of asymmetric phases,we carry out a cluster mean-field analysis.Analytical results show that the densities of the two upstream segments of the intersection site are always equal,which indicates that the system is not in asymmetric phases.It demonstrates that the spontaneous symmetry breaking does not exist in the system.The density profiles and the boundaries of the symmetric phases are also investigated.We find that the cluster mean-field analysis shows better agreement with simulations than the simple mean-field analysis where the correlation of sites is ignored.

Theoretical investigation of total-asymmetric simple exclusion processes with attachment and detachment

In this paper, traffic systems with attachment and detachment have been studied by total-asymmetric simple exclusion processes （TASEPs）. Attachment and detachment in a one-dimensional system is a type of complex geometry that is relevant to biological transport with the random update rule. The analytical results are presented and have shown good agreement with the extensive Monte Carlo computer simulations.

Effect of unequal injection rates on asymmetric exclusion processes with junction

In this paper, we investigate the effect of unequal injection rates on totally asymmetric simple exclusion processes （TASEPs） with a 2-input 1-output junction and parallel update. A mean-field approach is developed to deal with the junction that connects two sub-chains and the single main chain. We obtain the stationary particle currents, density profiles and phase diagrams. Interestingly, we find that the number of stationary-state phases is changeable depending on the value of a1 （a1 is the injection rate on the first sub-chain）. When a1 〉 1/3, there are seven stationary-state phases in the system, however when a1 〈 1/3, only six stationary-state phases exist in the system. The theoretical calculations are shown to be in agreement with Monte Carlo simulations.

Recent developments in totally asymmetric simple exclusion processes with local inhomogeneity

A totally asymmetric simple exclusion process (TASEP) has become an essential tool in modeling and analyzing non-equilibrium systems.A wide variety of TASEP models have been developed that are motivated by real-world traffic,biological transport and by the dynamics of the process itself.This paper provides an overview of recent developments in TASEP with inhomogeneity.Some important generalizations and extensions of inhomogeneous TASEP models are reviewed,and several popular mean-field techniques used to analyze the inhomogeneous TASEP models are summarized.A comparison between similar TASEP models under different updating procedures is given.Phase separations in such disordered systems have been identified.The present status of the inhomogeneous TASEP models and areas for future investigations are also described.

蒙特卡罗模拟在非平衡动态系统中的应用(英文)

非平衡系统几乎存在于自然和人造系统的各个层面上,它以非零连续的流量为特征。完全非对称简单排他过程被认为是对这类系统建模和模拟的一个范例。对蒙特卡罗方法如何模拟该类系统进行了介绍。分析了通过蒙特卡罗模拟观察到的一些有趣的物理现象如自发性对称破缺、有限尺寸效应和跳跃过程。非对称的低-低密度相破缺与系统的有限尺寸效应密切相关,建议开展更细致的蒙特卡罗模拟以进一步加深对仍处于争论中的非平衡系统有限尺寸效应的认识。

元胞自动机交通流模型中的车辆更新方式研究

基于TASEP(Totally Asymmetric Simple Exclusion Process)模型,使用蒙特卡洛方法模拟开放边界条件下不同车辆更新方式对稳态时车辆特性及相变行为的影响,得到不同注入概率α和输出概率β条件下的交通流基本图。结果表明,不同更新方式对系统的稳态特性及相变行为有较大影响,流量和密度随α和β的不同而变化,模拟结果与解析解吻合。随机更新方式下道路车流量的大小由输出概率决定,当输出概率达到一定值时,它的增大无法提高道路上的车流量;顺序更新方式的优点是仅当输入和输出概率都相等时,系统保持畅行相;而局部并行更新方式下得出的相图则与顺序和全局并行更新这两种方式下得到的相图类似且可以更好地反映交通流现实。

基于TASEP模型的复杂网络级联故障研究

研究复杂网络的级联故障对网络内部动力学行为的影响,对维护网络安全、保障网络稳定具有极高的应用价值。从网络级联角度分析,对于完全非对称的简单排它过程模型中系统流量变化的问题,采用基于完全非对称的简单排它过程的网络模型进行级联故障研究。通过研究网络最大强连通子图尺寸、网络强连通子图个数以及网络流量之间的关系得出,网络最大强连通子图尺寸与流量呈正相关,网络流量达到最低阈值的决定性因素是网络强连通子图个数。在不同平均度的网络中进行仿真实验,结果表明随着连边去除率的增加,网络平均度越大,网络流量的下降率越低;取不同粒子密度再对网络进行仿真实验,结果表明在低密度区间与高密度区间上,平均密度的变化对流量下降率的影响较小,在中间密度区间上流量下降率几乎不变。

基于交通路网的TASEP模型的扩展研究

完全非对称的简单排它过程(Totally Asymmetric Simple Exclusion Process,TASEP)模型是一种描述一维晶格上粒子运输的一种经典模型,其主要考虑了粒子之间的体积排斥效应,已被广泛应用到生物、交通等领域。文中主要对传统的TASEP模型进行了扩展研究,结合实际交通网络的结构和特性对TASEP模型进行了如下改进:1)粒子在各条边上的跳跃率是异质的,即设置各条边上的跳跃率不同且符合泊松分布;2)在交叉路口的粒子在选择下一个路段时是非随机的。具体地,设计了一种实时路径策略,结合各个时刻各条边上的流量值与粒子数得到对应边上粒子的平均移动“速度”;在此基础上引入“理性”参数α来控制粒子的路径选择:α的值越大,粒子越倾向于运动到平均速度越快的连边上。结果显示,随着参数α值的增大,网络中粒子的整体运动得到了优化,使得系统的流量有较大的提升,从而可以缓解网络拥塞。文中通过结合复杂网络的概念和方法,对传统TASEP模型做出了两点改进:1)设计出粒子在交叉口处的路径策略优化其行驶路径;2)为研究城市交通流模型提供了新的思路和方向。