THE TDGL EQUATION FOR CAR-FOLLOWING MODEL WITH CONSIDERATION OF THE TRAFFIC INTERRUPTION PROBABILITY

Hong-Xia Ge, Yi-Qiang Zhang, Hua Kuang and Siu-Ming Lo ()
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Hong-Xia Ge: Faculty of Science, Ningbo University, Ningbo 315211, China;
Yi-Qiang Zhang: Faculty of Science, Ningbo University, Ningbo 315211, China
Hua Kuang: College of Physical Science and Technology, Guanxi Normal University, Gullin 541004, P. R. China
Siu-Ming Lo: Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong

International Journal of Modern Physics C (IJMPC), 2012, vol. 23, issue 07, 1-9

Abstract: A car-following model which involves the effects of traffic interruption probability is further investigated. The stability condition of the model is obtained through the linear stability analysis. The reductive perturbation method is taken to derive the time-dependent Ginzburg–Landau (TDGL) equation to describe the traffic flow near the critical point. Moreover, the coexisting curve and the spinodal line are obtained by the first and second derivatives of the thermodynamic potential, respectively. The analytical results show that considering the interruption effects could further stabilize traffic flow.

Keywords: Traffic flow; car-following model; TDGL equation; 05.70.Fh; 05.70.Jk (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1142/S0129183112500532

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