Journal
NONLINEAR DYNAMICS
Volume 83, Issue 1-2, Pages 793-800Publisher
SPRINGER
DOI: 10.1007/s11071-015-2367-8
Keywords
Traffic flow; Traffic jerk; Phase transition; TDGL equation; mKdV equation
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Funding
- National Natural Science Foundation of China [71571107, 11372166]
- Scientific Research Fund of Zhejiang Provincial, China [LY15A020007, LY15E080013, LY13A020007]
- Natural Science Foundation of Ningbo [2014A610028, 2014A610022]
- K. C. Wong Magna Fund in Ningbo University, China
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A new traffic flow model is proposed based on an optimal velocity car-following model, which takes the traffic jerk effect into consideration. The nature of the model is researched by using linear and nonlinear analysis method. In traffic flow, the phase transition and the critical phenomenon which are described by the thermodynamic theory. The time-dependent Ginzburg-Landau (TDGL) equation and the modified Korteweg-de Veris (mKdV) equation are derived to describe the traffic flow near the critical point. In addition, the connection between the TDGL and the mKdV equations is also given. Numerical simulation is given to demonstrate the theoretical results.
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