期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 433, 期 -, 页码 274-278出版社
ELSEVIER
DOI: 10.1016/j.physa.2014.11.013
关键词
Traffic flow; Traffic jerk; Phase transition; TDGL equation; mKdV equation
资金
- National High Technology Research and Development Program of China (863 Program) [2012AA2304]
- K.C. Wong Magna Fund in Ningbo University, China
Based on optimal velocity car following model, a new model considering traffic jerk is proposed to describe the jamming transition in traffic flow on a highway. Traffic jerk means the sudden braking and acceleration of vehicles, which has a significant impact on traffic movement. The nature of the model is researched by using linear and nonlinear analysis method. A thermodynamic theory is formulated to describe the phase transition and critical phenomenon in traffic flow. The time-dependent Ginzburg-Landau (TDGL) equation and the modified Korteweg-de Vries (mKdV) equation are derived to describe the traffic flow near the critical point and the traffic jam. In addition, the connection between the TDGL and the mKdV equations are also given. (C) 2015 Published by Elsevier B.V.
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