Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 390, Issue 20, Pages 3348-3353Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2011.04.033
Keywords
Traffic flow; Car-following model; Time-dependent Ginzburg-Landau equation; Modified Korteweg-de Vries equation
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Funding
- National Natural Science Foundation of China [11072117, 1080204212, 60904068]
- Natural Science Foundation of Zhejiang Province [Y6110007, Y611000713, Y6110502]
- Ningbo University
- Research Grant Council, Government of the Hong Kong Administrative Region, China [CityU9041370, CityU9041499]
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In this paper, an extended car-following model considering the delay of the driver's response in sensing headway is proposed to describe the traffic jam. It is shown that the stability region decreases when the driver's physical delay in sensing headway increases. The phase transition among the freely moving phase, the coexisting phase, and the uniformly congested phase occurs below the critical point. By applying the reductive perturbation method, we get the time-dependent Ginzburg-Landau (TDGL) equation from the car-following model to describe the transition and critical phenomenon in traffic flow. We show the connection between the TDGL equation and the mKdV equation describing the traffic jam. (C) 2011 Elsevier B.V. All rights reserved.
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