Exclusion in junction geometries.

@article{Zhang2019ExclusionIJ,
  title={Exclusion in junction geometries.},
  author={Keming Zhang and Paul L. Krapivsky and Sidney Redner},
  journal={Physical review. E},
  year={2019},
  volume={99 5-1},
  pages={
          052133
        }
}
  • Keming Zhang, P. Krapivsky, S. Redner
  • Published 1 April 2019
  • Mathematics, Physics, Medicine
  • Physical review. E
We investigate the dynamics of the asymmetric exclusion process at a junction. When two input roads are initially fully occupied and a single output road is initially empty, the ensuing rarefaction wave has a rich spatial structure. The density profile also changes dramatically as the initial densities are varied. Related phenomenology arises when one road feeds into two. Finally, we determine the phase diagram of the open system, where particles are fed into two roads at rate α for each road… 
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