Two-species totally asymmetric simple exclusion process model: From a simple description to intermittency and traveling traffic jams

Pierre Bonnin*, Ian Stansfield, M. Carmen Romano, Norbert Kern

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We extend the paradigmatic and versatile totally asymmetric simple exclusion process (TASEP) for stochastic 1D transport to allow for two different particle species, each having specific entry and exit rates. We offer a complete mean-field analysis, including a phase diagram, by mapping this model onto an effective one-species TASEP. Stochastic simulations confirm the results, but indicate deviations when the particle species have very different exit rates. We illustrate that this is due to a phenomenon of intermittency, and formulate a refined "intermittent" mean-field theory for this regime. We discuss how nonstationary effects may further enrich the phenomenology.

Original languageEnglish
Article number034117
Number of pages18
JournalPhysical Review E
Volume105
Issue number3
DOIs
Publication statusPublished - 15 Mar 2022

Keywords

  • CAR-FOLLOWING MODELS
  • DYNAMICS
  • DIAGRAM
  • WAVES

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