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

doi:10.1103/PhysRevE.105.034117

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

Université de Montpellier
CNRS

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

1 Downloads (Pure)

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 language	English
Article number	034117
Number of pages	18
Journal	Physical Review E
Volume	105
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.105.034117
Publication status	Published - 15 Mar 2022

Funding

This work has been partly funded by SULSA (Scottish Universities Life Science Alliance) . We would also like to thank the Visitors Scholar Programme from the University of Aberdeen for funding the visits of N.K. to Aberdeen, during which a substantial part of this work was developed.

Keywords

CAR-FOLLOWING MODELS
DYNAMICS
DIAGRAM
WAVES

Access to Document

10.1103/PhysRevE.105.034117Licence: Unspecified

Bonin_etal_ArXiv_Two_species_TASEP_AAMAccepted author manuscript, 6.96 MBLicence: Unspecified

https://arxiv.org/abs/2102.02486Licence: Unspecified

Cite this

@article{871c3b46ce284027bccfc819e997ecc5,

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

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.",

keywords = "CAR-FOLLOWING MODELS, DYNAMICS, DIAGRAM, WAVES",

author = "Pierre Bonnin and Ian Stansfield and Romano, \{M. Carmen\} and Norbert Kern",

year = "2022",

month = mar,

day = "15",

doi = "10.1103/PhysRevE.105.034117",

language = "English",

volume = "105",

journal = "Physical Review E",

issn = "2470-0045",

publisher = "American Physical Society",

number = "3",

}

TY - JOUR

T1 - Two-species totally asymmetric simple exclusion process model

T2 - From a simple description to intermittency and traveling traffic jams

AU - Bonnin, Pierre

AU - Stansfield, Ian

AU - Romano, M. Carmen

AU - Kern, Norbert

PY - 2022/3/15

Y1 - 2022/3/15

N2 - 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.

AB - 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.

KW - CAR-FOLLOWING MODELS

KW - DYNAMICS

KW - DIAGRAM

KW - WAVES

U2 - 10.1103/PhysRevE.105.034117

DO - 10.1103/PhysRevE.105.034117

M3 - Article

SN - 2470-0045

VL - 105

JO - Physical Review E

JF - Physical Review E

IS - 3

M1 - 034117

ER -

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

Abstract

Funding

Keywords

Access to Document

Fingerprint

Cite this