The European Physical Journal B

, Volume 58, Issue 2, pp 197–206 | Cite as

Phase transition in a mixture of adaptive cruise control vehicles and manual vehicles

  • R. JiangEmail author
  • M.-B. Hu
  • B. Jia
  • R. Wang
  • Q.-S. Wu
Interdisciplinary Physics


In this paper, we have investigated the effects of adaptive cruise control (ACC) vehicles in a mixture with manually-controlled (manual) vehicles. The manual vehicles are simulated by using the modified comfortable driving model, which can describe synchronized traffic flow. The phase transition probabilities from free flow to synchronized flow and from synchronized flow to jams are studied. The impact of ACC vehicles on the flow rates in free flow and synchronized flow and on the propagation velocity of the downstream front of jams are investigated. The dependence of microscopic properties of traffic flow, including the spatiotemporal patterns and the velocity distribution, is explored. Our results are expected to be useful for developing ACC systems.


45.70.Vn Granular models of complex systems; traffic flow 89.40.-a Transportation 02.60.Cb Numerical simulation; solution of equations 


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  1. B. Van Arem, C.J.G. van Driel, R. Visser, IEEE Trans. ITS 7, 429 (2006) Google Scholar
  2. P. Ioannou, IEEE Trans. ITS 4, 113 (2003) Google Scholar
  3. J. VanderWerf, S. Shladover, N. Kourjanskaia et al., Transp. Res. Rec. 1748, 167 (2001) CrossRefGoogle Scholar
  4. S.E. Shladover, Transp. Res. Rec. 1727, 154 (2000) CrossRefGoogle Scholar
  5. G. Marsden, M. McDonald, M. Brackstone, Transp. Res. Part C, 9, 33 (2001) Google Scholar
  6. P.J. Zheng, M. McDonald, Transp. Res. Part C, 13, 421 (2005) Google Scholar
  7. O. Gietelink, J. Ploeg, B. De Schutter et al., Veh. Sys. Dyna. 44, 569 (2006) CrossRefGoogle Scholar
  8. J.S. Gu, S. Yi, K. Yi, Int. J. Auto. Tech. 7, 619 (2006) Google Scholar
  9. J. Zhou, H. Peng, IEEE Trans. ITS 6, 229 (2005) Google Scholar
  10. J.M. Wang, R. Rajamani, IEEE Trans. Veh. Tech. 53, 1480 (2004) CrossRefGoogle Scholar
  11. D.H. Han, K.S. Yi, Proc. Institute Mech. Eng. Part D, 220 (D3), 321 (2006) Google Scholar
  12. J. Wang, R. Rajamani, Proc. Institute Mech. Eng. Part D, 218 (D2), 111 (2004) Google Scholar
  13. S. Kikuchi, N. Uno, M. Tanaka, J. Transp. Eng.-ASCE 129, 146 (2003) CrossRefGoogle Scholar
  14. H. Rakha, J. Hankey, A. Patterson et al., ITS J. 6, 225 (2001) zbMATHGoogle Scholar
  15. P. Fancher, H. Peng, Z. Bareket, et al., Veh. Sys. Dyna. 37, 125 Suppl. (2002) Google Scholar
  16. C.Y. Liang, H. Peng, JSME Int. J. Series C, 43, 671 (2000) Google Scholar
  17. J.G. Yi, R. Horowitz, Transp. Res., Part C, 14, 81 (2006) Google Scholar
  18. P.Y. Li, A. Shrivastava, Transp. Res. Part C, 10, 275 (2002) Google Scholar
  19. P.A. Ioannou, M. Stefanovic, IEEE Trans. ITS 6, 79 (2005) Google Scholar
  20. J.L. Zhang, P.A. Ioannou, IEEE Trans. ITS 7, 92 (2006) Google Scholar
  21. J. VanderWerf, S.E. Shladover, M.A. Miller, et al., Transp. Res. Rec. 1800, 78 (2002) CrossRefGoogle Scholar
  22. B.S. Kerner, e-print arXiv:cond-mat/0309017. Google Scholar
  23. M. Treiber, D. Helbing, e-print arXiv:cond-mat/0210096; A. Kesting, M. Treiber, M. Schoenhof, et al., e-print arXiv:physics/0601096 (to appear in Proc. Traffic and Granular Flow '05) Google Scholar
  24. L.C. Davis, Phys. Rev. E 69, 066110 (2004) CrossRefADSGoogle Scholar
  25. L.C. Davis, Physica A 379, 274 (2007) CrossRefADSGoogle Scholar
  26. R. Jiang, Q.S. Wu, Phys. Lett. A 359, 99 (2006) CrossRefADSGoogle Scholar
  27. R. Jiang, Q.S. Wu, Eur. Phys. J. B 46, 581 (2005) CrossRefADSGoogle Scholar
  28. R. Jiang, Q.S. Wu, J. Phys. A 37, 8197 (2004) zbMATHCrossRefADSGoogle Scholar
  29. R. Jiang, Q.S. Wu, J.Phys. A 36, 381 (2003) zbMATHCrossRefADSGoogle Scholar
  30. B.S. Kerner, S.L. Klenov, D.E. Wolf, J. Phys. A 35, 9971 (2002) zbMATHCrossRefADSGoogle Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  1. 1.School of Engineering Science, University of Science and technology of ChinaHefeiChina
  2. 2.School of Traffic and Transportation, Beijing Jiaotong UniversityBeijingP.R. China
  3. 3.Institute of Information Sciences and Technology, Massey University Private Bag 102-904AucklandNew Zealand

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