Two-species TASEP model: from a simple description to intermittency and travelling traffic jams
Statistical Mechanics
2022-04-06 v2 Cellular Automata and Lattice Gases
Abstract
We extend the paradigmatic and versatile TASEP (Totally Asymmetric Simple Exclusion Process) 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 (iMF) theory for this regime. We discuss how non-stationary effects may further enrich the phenomenology.
Keywords
Cite
@article{arxiv.2102.02486,
title = {Two-species TASEP model: from a simple description to intermittency and travelling traffic jams},
author = {Pierre Bonnin and Ian Stansfield and M. Carmen Romano and Norbert Kern},
journal= {arXiv preprint arXiv:2102.02486},
year = {2022}
}