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arXiv · 1101.5139

Dynamic Singularities in Cooperative Exclusion

Alan Gabel·S. Redner
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Abstract

We investigate cooperative exclusion, in which the particle velocity can be an increasing function of the density. Within a hydrodynamic theory, an initial density upsteps and downsteps can evolve into: (a) shock waves, (b) continuous compression or rarefaction waves, or (c) a mixture of shocks and continuous waves. These unusual phenomena arise because of an inflection point in the current versus density relation. This anomaly leads to a group velocity that can either be an increasing or a decreasing function of the density on either side of these wave singularities.

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Alan Gabel, S. Redner. 2011-05-24. Dynamic Singularities in Cooperative Exclusion. https://doi.org/10.1088/1742-5468%2F2011%2F06%2Fp06008

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