Spontaneous symmetry breaking in a two-lane system with parallel update
Spontaneous symmetry breaking in a two-lane system with parallel update
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DOI：
10.1088/1751-8113/40/31/003
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发表时间：
2007-07
期刊：
影响因子：
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通讯作者：
R. Jiang;Ruili Wang;Maobin Hu;B. Jia;Qing-Song Wu
中科院分区：
文献类型：
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作者：
R. Jiang;Ruili Wang;Maobin Hu;B. Jia;Qing-Song Wu
研究了一类具有窄入口的两通道完全非对称简单排斥进程(TASEP)的并行更新问题。粒子在相反方向的两条平行车道上移动，而不会改变车道。狭窄的入口是这样模拟的：如果另一条车道的出口位置被占用，则不允许粒子进入(另见Pronina和Kolomeisky，2007J.Phys。答：数学。西奥。40 2275)。我们主要关注粒子在整体中确定性跳跃的情况。用平均场近似分析了相图、体积密度和粒子流。结果表明，存在两个对称性破缺相，其中一个(非对称低密度/低密度相)只占相图中的一条线。还观察到了多稳态现象。由于在平均场计算中没有考虑相关性，因此进行了蒙特卡罗模拟，模拟结果与平均场预测有偏差。当α=1时，再现了一个跷跷板阶段，并与随机更新的双车道系统的结果进行了比较。最后，给出了粒子以Q<；1的速率跳跃的初步模拟结果，结果表明随机跳跃的引入改变了相图结构。
This paper studies a two-lane totally asymmetric simple exclusion processes (TASEP) with narrow entrances under parallel update. Particles move on two parallel lanes in the opposite directions without lane changing. The narrow entrances are modelled in this way: the entry of a particle is not allowed if the exit site of the other lane is occupied (see also Pronina and Kolomeisky 2007 J. Phys. A: Math. Theor. 40 2275). We mainly focus on the case where particles hop deterministically in the bulk. The phase diagram, bulk density and particle currents are analysed using mean-field approximation. It is shown that there are two symmetry breaking phases, and one of them (i.e., asymmetric low density/low-density phase) occupies only a line in the phase diagram. A multi-stable phenomenon is also observed. Monte Carlo simulations are carried out and the simulation results deviate from the mean-field prediction, because correlations are not considered in mean-field calculation. A seesaw phase is reproduced when α = 1. The results are also compared with that obtained from the two-lane system with random update. Finally, preliminary simulation results where particles hop with the rate q < 1 in the bulk are reported and it is shown that the introduction of stochastic hopping changes the phase diagram structure.