交通流的微正则和正则方法
Microcanonical and canonical approach to traffic flow
摘要：
单车道道路上的相同的汽车系统被视为一个微正则和正则系综。汽车行为的特征在于汽车速度的概率作为距离和前面汽车速度的函数。计算是在具有离散汽车速度的离散1D晶格上进行的。用微正则方法计算了一组车辆的总速度概率随密度的变化。对于正则系综，发现了车辆密度随总速度的波动，描述了车辆大减速率时自由流与阻塞流之间的相变以及车辆小减速率时同速度队列的形成.
英文摘要：
A system of identical cars on a single-lane road is treated as a microcanonical and canonical ensemble. Behaviour of the cars is characterized by the probability of car velocity as a function of distance and velocity of the car ahead. The calculations a performed on a discrete 1D lattice with discrete car velocities. Probability of total velocity of a group of cars as a function of density is calculated in microcanonical approach. For a canonical ensemble, fluctuations of car density as a function of total velocity is found. Phase transitions between free and jammed flow for large deceleration rate of cars and formation of queues of cars with the same velocity for low deceleration rate are described.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
