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Dynamics of congestion transition triggered by multiple walkers on complex networks

  • Statistical and Nonlinear Physics
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Abstract.

The congestion transition triggered by multiple walkers walking along the shortest path on complex networks is numerically investigated. These networks are composed of nodes that have a finite capacity in analogy to the buffer memory of a computer. It is found that a transition from free-flow phase to congestion phase occurs at a critical walker density fc, which varies for complex networks with different topological structures. The dynamic pictures of congestion for networks with different topological structures show that congestion on scale-free networks is a percolation process of congestion clusters, while the dynamics of congestion transition on non-scale-free networks is mainly a process of nucleation.

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Authors and Affiliations

  1. Soft Matter Lab, Institute of Theoretical Physics and Astrophysics and Department of Physics, Xiamen University, Xiamen, 361005, P.R. China

    H. Lin & C.-X. Wu

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  1. H. Lin
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  2. C.-X. Wu
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Correspondence to C.-X. Wu.

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Lin, H., Wu, CX. Dynamics of congestion transition triggered by multiple walkers on complex networks. Eur. Phys. J. B 51, 543–547 (2006). https://doi.org/10.1140/epjb/e2006-00249-y

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  • DOI: https://doi.org/10.1140/epjb/e2006-00249-y

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