A mesoscopic approach on stability and phase transition between different traffic flow states

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• 作者：Wei-Liang Qian^a ; ^b ; ; Bin Wang^c ; Kai Lin^d ; Romuel F. Machado^e ; Yogiro Hama^f
• 关键词：Catastrophe model ; Phase transition ; Potential function ; Limit circle
• 刊名：International Journal of Non-Linear Mechanics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：89
• 期：Complete
• 页码：59-68
• 全文大小：929 K
• 卷排序：89

文摘

A mesoscopic approach for traffic flow theory. Possible steady and non-steady solutions as well as their stability properties are discussed. Connection between the catastrophe model and Landau's theory of phase transition. The potential function of catastrophe model is calculated from a microscopic model. Limit circle solution is associated with the observed traffic flow characteristics. Possible scenarios of metastable states are discussed.