摘要

We investigate the effect of cooperative interactions on the asymmetric exclusion process, which causes the particle velocity to be an increasing function of the density. Within a hydrodynamic theory, 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 be either an increasing or a decreasing function of the density on either side of the inflection point, a property that underlies these localized wave singularities.

  • 出版日期2011-6