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Exploring jamming transitions and density waves in bidirectional pedestrian traffic

  • Interdisciplinary Physics
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Abstract

In this paper we propose a two-dimensional lattice hydrodynamic model considering path change in the bidirectional flow of pedestrians on the road. The stability condition and the mKdV equation describing the density wave of pedestrian traffic jamming are obtained by linear stability and nonlinear analyses. The phase diagram produced from these analyses indicates that the phase transition occurs amongst the freely moving phase, the coexisting phase and the uniformly congested phase below the critical point ac. Additionally the results reveal the existence of a critical magnitude of path change (γc). Once the magnitude of path change exceeds the critical value, it gives rise to unstable density waves. Moreover, numerical simulations are performed and the results are in accordance with the theoretical analyses.

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Authors and Affiliations

  1. Institute of Physical Science and Engineering, Guangxi University, Nanning, 53004, P.R. China

    Y. Xue & H.-H. Tian

  2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, P.R. China

    Y. Xue & Y.-F. Wei

  3. Department of Building and Construction, City University of Hong Kong, Hong Kong, Hong Kong

    H.-D. He & W.-Z. Lu

Authors
  1. Y. Xue
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  2. H.-H. Tian
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  3. H.-D. He
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  4. W.-Z. Lu
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  5. Y.-F. Wei
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Corresponding author

Correspondence to W.-Z. Lu.

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Xue, Y., Tian, HH., He, HD. et al. Exploring jamming transitions and density waves in bidirectional pedestrian traffic. Eur. Phys. J. B 69, 289–295 (2009). https://doi.org/10.1140/epjb/e2009-00149-8

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  • DOI: https://doi.org/10.1140/epjb/e2009-00149-8

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