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Congestion fronts of diffusing particles

Author

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  • Burger, B.
  • Herrmann, H.J.

Abstract

We study two new models of two particle species invading a surface from opposite sides. Collisions of particles of different species lead to the formation of congestion fronts. One of the models implements a reversible process whereas in the other model the congestion front forms irreversibly. For both models we find that the congestion fronts are self-affine but with different roughness exponents. For low densities the system does not congest and we find a phase transition between a phase of freely moving particles and a congestion phase.

Suggested Citation

  • Burger, B. & Herrmann, H.J., 2019. "Congestion fronts of diffusing particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 125-132.
    • Handle: RePEc:eee:phsmap:v:516:y:2019:i:c:p:125-132
    DOI: 10.1016/j.physa.2018.10.030
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    References listed on IDEAS

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    1. Dirk Helbing & Lubos Buzna & Anders Johansson & Torsten Werner, 2005. "Self-Organized Pedestrian Crowd Dynamics: Experiments, Simulations, and Design Solutions," Transportation Science, INFORMS, vol. 39(1), pages 1-24, February.
    2. Csahók, Z. & Honda, K. & Somfai, E. & Vicsek, M. & Vicsek, T., 1993. "Dynamics of surface roughening in disordered media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 136-154.
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