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Phase transitions in the two-lane density difference lattice hydrodynamic model of traffic flow

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Abstract

In this paper, we derive the KdV equation from the two-lane lattice hydrodynamic traffic model considering density difference effect. The soliton solution is obtained from the KdV equation. Under periodical boundary, the KdV soliton of traffic flow is demonstrated by numerical simulation. The numerical simulation result is consistent with the nonlinear analytical result. Under open system, the density fluctuation of the downstream last one lattice is designed to explore the empirical congested traffic states. A phase diagram is presented which includes free traffic, moving localized cluster, triggered stop-and-go traffic, oscillating congested traffic, and homogeneous congested traffic. Finally, the spatiotemporal evolution of all the traffic states described in phase diagram are reproduced. Results suggest that the two-lane density difference hydrodynamic traffic model is suitable to describe the actual traffic.

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Acknowledgments

This work is partially supported by the National Basic Research Program of China (Grant No. 2012CB725401), the National Natural Science Foundation of China (Grant Nos. 71171124, 61340038), the China Postdoctoral Science Foundation (Grant No. 2013M540851), the Natural Science Foundation of Shandong Province (Grant Nos. ZR2013GQ001, 2013ZRB01254) and the Shandong Excellent Young Scientist Research Award Fund Project of China (Grant No. BS2012SF005).

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Authors and Affiliations

  1. MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing , 100044, China

    Tao Wang, Ziyou Gao, Wenyi Zhang & Jing Zhang

  2. School of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao , 266042, China

    Tao Wang

  3. School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao , 266061, China

    Jing Zhang

  4. Public Security Department, Shandong Police College, Shandong, Jinan , 250014, China

    Shubin Li

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  1. Tao Wang
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  2. Ziyou Gao
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  3. Wenyi Zhang
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  4. Jing Zhang
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Correspondence to Ziyou Gao.

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Wang, T., Gao, Z., Zhang, W. et al. Phase transitions in the two-lane density difference lattice hydrodynamic model of traffic flow. Nonlinear Dyn 77, 635–642 (2014). https://doi.org/10.1007/s11071-014-1325-1

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  • DOI: https://doi.org/10.1007/s11071-014-1325-1

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