Asymmetric exclusion process with next-nearest-neighbor interaction:: Some comments on traffic flow and a nonequilibrium reentrance transition
Asymmetric exclusion process with next-nearest-neighbor interaction:: Some comments on traffic flow and a nonequilibrium reentrance transition
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DOI：
10.1103/physreve.62.83
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发表时间：
2000-07-01
影响因子：
2.4
通讯作者：
Schütz, GM
中科院分区：
文献类型：
--
作者：
Antal, T;Schütz, GM
研究了具有次近邻相互作用的硬核粒子驱动非平衡晶格气的稳态行为。我们计算周期系统的精确平稳分布，并为系统的相图中的一条特定的线与开放的边界，粒子可以进入和离开系统。对于排斥相互作用的动力学可以解释为一个双速模型的交通流。周期连续时间系统的精确平稳分布与离散时间并行更新的非对称排斥过程（ASEP）的精确平稳分布一致。然而，与（单速）ASEP不同，双速模型的精确陶氏图在某些重要特征上类似于真实的交通流图。从Monte Carlo模拟得到的开放系统的固定相图可以理解的冲击移动通过系统和在边界处的超喂效应，从而证实了最近开发的一般理论的边界诱导相变的理论预测。在吸引相互作用的情况下，我们观察到一个意想不到的再入过渡由于边界效应。
We study the steady-state behavior of a driven nonequilibrium lattice gas of hard-core particles with next-nearest-neighbor interaction. We calculate the exact stationary distribution of the periodic system and for a particular line in the phase diagram of the system with open boundaries where particles can enter and leave the system. For repulsive interactions the dynamics can be interpreted as a two-speed model for traffic flow. The exact stationary distribution of the periodic continuous-time system turns out to coincide with that of the asymmetric exclusion process (ASEP) with discrete-time parallel update. However, unlike in the (single-speed) ASEP, the exact dow diagram for the two-speed model resembles in some important features the flow diagram of real traffic. The stationary phase diagram of the open system obtained from Monte Carlo simulations can be understood in terms of a shock moving through the system and an overfeeding effect at the boundaries, thus confirming theoretical predictions of a recently developed general theory of boundary-induced phase transitions. In the case of attractive interaction we observe an unexpected reentrance transition due to boundary effects.