Jamming transition in a two-dimensional traffic flow model
Jamming transition in a two-dimensional traffic flow model
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DOI：
10.1103/physreve.59.4857
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发表时间：
1999-05-01
影响因子：
2.4
通讯作者：
Nagatani, T
中科院分区：
文献类型：
--
作者：
Nagatani, T
对二维交通流中的相变和临界现象进行了数值和分析研究。将一维点阵交通流体动力学模型扩展到有两种类型汽车（北行汽车和东行汽车）的二维交通流。结果表明，自由移动相、共存相和均匀拥挤相之间的相变发生在临界点以下。高于临界点，不会发生相变。当c小于或等于0.5时，临界点a的值随着东行车比例c的增加而减小。应用线性稳定性理论。找到中性稳定线。通过使用非线性分析推导出与时间相关的 Ginzburg-Landau (TDGL) 方程。相分离线、旋节线和临界点是根据 TDGL 方程计算的。 [S1063-651X(99)00405-5]。
Phase transition and critical phenomenon are investigated in the two-dimensional traffic flow numerically and analytically. The one-dimensional lattice hydrodynamic model of traffic is extended to the two-dimensional traffic flow in which there are two types of cars (northbound and eastbound cars). It is shown that the phase transition among the freely moving phase, the coexisting phase, and the uniformly congested phase occurs below the critical point. Above the critical point, no phase transition occurs. The value a, of the critical point decreases as increasing fraction c of the eastbound cars for c less than or equal to 0.5. The linear stability theory is applied. The neutral stability lines are found. The time-dependent Ginzburg-Landau (TDGL) equation is derived by the use of nonlinear analysis. The phase separation lines, the spinodal lines, and the critical point are calculated from the TDGL equation. [S1063-651X(99)00405-5].