Traffic flow phase transition phenomena based on the kinetic approach☆

被引：0
作者：
Zhang, Zhizhen [1 ,2 ,3 ]
Lu, Changhong [1 ,2 ]
机构：
[1] East China Normal Univ, Sch Math Sci, Key Lab MEA, Minist Educ, Shanghai 200241, Peoples R China
[2] East China Normal Univ, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China
[3] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01002 USA
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2025年 / 662卷
基金：
中国国家自然科学基金;
关键词：
Traffic flow; Cellular automaton; Kinetic method; Phase transition; Discrete model; MODEL;
D O I：
10.1016/j.physa.2025.130423
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
To study the phase transition phenomenon in traffic flow, we propose a discrete Boltzmann model that integrates Boltzmann dynamics with the Cellular Automata framework. This approach combines the theoretical power of the Boltzmann equation with the computational simplicity of Cellular Automata. By examining traffic flows at mesoscopic scales, the model captures the dynamical behavior of traffic in phase space and provides insights into the mechanisms driving phase transitions. The model can also be interpreted as dynamics on a graph. Numerical simulations, conducted under the assumption of a uniform or heterogeneous vehicle density distribution, yield results that align well with observed empirical phenomena. The model allows for the analysis of various parameters influencing traffic flow and serves as a robust tool for studying the global properties of systems governed by complex motion dynamics.
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页数：14
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