Theoretical investigation of synchronous totally asymmetric exclusion processes on lattices with multiple-input-single-output junctions.
Theoretical investigation of synchronous totally asymmetric exclusion processes on lattices with multiple-input-single-output junctions.
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DOI：
10.1103/physreve.77.051108
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发表时间：
2008-05
期刊：
影响因子：
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通讯作者：
Ruili Wang;Mingzhe Liu;R. Jiang
中科院分区：
文献类型：
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作者：
Ruili Wang;Mingzhe Liu;R. Jiang
本文研究了具有多输入单输出(MISO)结的格子上同步完全不对称排斥过程的动力学，该结由m个子链组成，主链为输出链。MISO路口是一种复杂的几何形状，与许多生物过程以及车辆和行人交通流量有关。发展了平均场方法来处理连接子链和主链的连接。给出了稳态粒子流、密度分布和相图的理论结果。研究发现，随着子链数目的增加，相界在相图中向左移动。非平衡定态、定态相和相界由系统的边界条件和子链的数目决定。由计算机模拟得到的密度分布与我们的理论分析非常吻合。
In this paper, we investigate the dynamics of synchronous totally asymmetric exclusion processes on lattices with a multiple-input-single-output (MISO) junction, which consists of m subchains for the input and one main chain for the output. A MISO junction is a type of complex geometry that is relevant to many biological processes as well as vehicular and pedestrian traffic flow. A mean-field approach is developed to deal with the junction that connects the subchains and the main chain. Theoretical results for stationary particle currents, density profiles, and a phase diagram have been obtained. It is found that the phase boundary moves toward the left in the phase diagram with an increase of the number of subchains. The nonequilibrium stationary states, stationary-state phases, and phase boundaries are determined by the boundary conditions of the system as well as by the number of subchains. The density profiles obtained from computer simulations show very good agreement with our theoretical analysis.