Advances in Solid State Physics pp 357-369

Part of the Advances in Solid State Physics Volume 41 book series (ASSP, volume 41) | Cite as

The Wonderful World of Active Many-Particle Systems

  • Dirk Helbing


Since the subject of traffic dynamics has captured the interest of physicists, many astonishing effects have been revealed and explained. Some of the questions now understood are the following: Why are vehicles sometimes stopped by so-called “phantom traffic jams”, although they all like to drive fast? What are the mechanisms behind stop-and-go traffic? Why are there several different kinds of congestion, and how are they related? Why do most traffic jams occur considerably before the road capacity is reached? Can a temporary reduction of the traffic volume cause a lasting traffic jam? Why do pedestrians moving in opposite directions normally organize in lanes, while nervous crowds are “freezing by heating”? Why do panicking pedestrians produce dangerous deadlocks? All these questions have been answered by applying and extending methods from statistical physics and non-linear dynamics to self-driven many-particle systems.


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  1. 0.
    This manuscript is partly a translation of D. Helbing: Die wundervolle Welt aktiver Vielteilchensysteme, Physikalische Blätter 57, 27–33 (2001). A more detailed discussion can be found in Ref. [4]Google Scholar
  2. 1.
    M. Schreckenberg and D.E. Wolf (Eds.): Traffic and Granular Flow’ 97 (Springer, Singapore, 1998)Google Scholar
  3. 2.
    D. Helbing, H.J. Herrmann, M. Schreckenberg, and D.E. Wolf (Eds.): Traffic and Granular Flow’ 99: Social, Traffic, and Granular Dynamics (Springer, Berlin, 2000)Google Scholar
  4. 3.
    D. Chowdhury, L. Santen, and A. Schadschneider: Statistical physics of vehicular traffic and some related systems, Phys. Rep. 329, 199–329 (2000)CrossRefGoogle Scholar
  5. 4.
    D. Helbing: Traffic and related self-driven many-particle systems, e-print, Reviews of Modern Physics, in print.Google Scholar
  6. 5.
    F. Schweitzer, W. Ebeling, and B. Tilch: Complex motion of Brownian particles with energy depots, Phys. Rev. Lett. 80, 5044–5047 (1998)CrossRefGoogle Scholar
  7. 6.
    M. Bando, K. Hasebe, A. Nakayama, A. Shibata, and Y. Sugiyama: Dynamical model of traffic congestion and numerical simulation, Phys. Rev. E 51, 1035–1042 (1995)CrossRefGoogle Scholar
  8. 7.
    B. S. Kerner and P. Konhäuser: Structure and parameters of clusters in traffic flow, Phys. Rev. E 50, 54–83 (1994)Google Scholar
  9. 8.
    M. Bando, K. Hasebe, K. Nakanishi, A. Nakayama, A. Shibata, and Y. Sugiyama: Phenomenological study of dynamical model of traffic flow, J. Phys. I France 5, 1389–1399 (1995)CrossRefGoogle Scholar
  10. 9.
    B. S. Kerner and H. Rehborn: Experimental features and characteristics of traffic jams, Phys. Rev. E 53, R1297–R1300 (1996)Google Scholar
  11. 10.
    D. Helbing, A. Hennecke, and M. Treiber: Phase diagram of traffic states in the presence of inhomogeneities, Phys. Rev. Lett. 82, 4360–4363 (1999)CrossRefGoogle Scholar
  12. 11.
    B. S. Kerner: Experimental features of self-organization in traffic flow, Phys. Rev. Lett. 81, 3797–3800 (1998)CrossRefGoogle Scholar
  13. 12.
    G. H. Ristow and H.J. Herrmann: Density patterns in two-dimensional hoppers, Phys. Rev. E 50, R5–R8 (1994)CrossRefGoogle Scholar
  14. 13.
    D. E. Wolf and P. Grassberger (Eds.): Friction, Arching, Contact Dynamics (World Scientific, Singapore, 1997)Google Scholar
  15. 14.
    D. Helbing and P. Molnár: Social force model for pedestrian dynamics, Phys. Rev. E 51, 4282–4286 (1995)CrossRefGoogle Scholar
  16. 15.
    D. Helbing and T. Vicsek: Optimal self-organization, New Journal of Physics 1, 13.1–13.17 (1999) (see Scholar
  17. 16.
    D. Helbing and T. Platkowski: Self-organization in space and induced by fluctuations, Int. J. Chaos Theor. Appl. 5, 25–39 (2000)Google Scholar
  18. 17.
    D. Helbing, I. Farkas, and T. Vicsek: Freezing by heating in a driven mesoscopic system, Phys. Rev. Lett. 84, 1240–1243 (2000)CrossRefGoogle Scholar
  19. 18.
    D. Helbing, I. J. Farkas, and T. Vicsek: Crowd disasters and simulation of panic situations, in Science of Disaster: Climate Disruptions, Heart Attacks and Market Crashes, A. Bunde, J. Kropp, and H. J. Schellnhuber (Eds.) (Springer, Berlin, 2001)Google Scholar
  20. 19.
    D. Helbing, I. Farkas, and T. Vicsek: Simulating dynamical features of escape panic, Nature 407, 487–490 (2000)CrossRefGoogle Scholar
  21. 20.
    D. Helbing: A mathematical model for the behavior of pedestrians, Behavioral Science 36, 298–310 (1991)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Dirk Helbing
    • 1
  1. 1.Institute for Economics and TrafficDresden University of TechnologyDresdenGermany

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