Convective instability and structure formation in traffic flow

Namiko Mitarai, Hiizu Nakanishi

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The effects of a localized perturbation in an initially uniform traffic flow are investigated with the optimal velocity model under an open boundary condition. The parameter region where the uniform solution is convectively unstable is determined by linear analysis. It is shown that the oscillatory flow, which is linearly unstable but convectively stabilized, is triggered out of a linearly unstable uniform flow by a localized perturbation, and in the upper stream it eventually breaks up into an alternating sequence of jams and free flows. This observation suggests that the real traffic flow pattern observed near an on-ramp [B. S. Kerner: Phys. Rev. Lett. 81 (1998) 3797] is a noise-sustained structure in an open flow system. We also find that, in a certain parameter region, the convectively stabilized uniform flow is destabilized by the non-linearly induced free flow.

Original languageEnglish
Pages (from-to)3752-3761
Number of pages10
JournalJournal of the Physical Society of Japan
Volume69
Issue number11
Publication statusPublished - Nov 2000

Fingerprint

traffic
uniform flow
free flow
perturbation
ramps
flow distribution
boundary conditions

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Convective instability and structure formation in traffic flow. / Mitarai, Namiko; Nakanishi, Hiizu.

In: Journal of the Physical Society of Japan, Vol. 69, No. 11, 11.2000, p. 3752-3761.

Research output: Contribution to journalArticle

@article{26813ce923b04650a5c009500c857c83,
title = "Convective instability and structure formation in traffic flow",
abstract = "The effects of a localized perturbation in an initially uniform traffic flow are investigated with the optimal velocity model under an open boundary condition. The parameter region where the uniform solution is convectively unstable is determined by linear analysis. It is shown that the oscillatory flow, which is linearly unstable but convectively stabilized, is triggered out of a linearly unstable uniform flow by a localized perturbation, and in the upper stream it eventually breaks up into an alternating sequence of jams and free flows. This observation suggests that the real traffic flow pattern observed near an on-ramp [B. S. Kerner: Phys. Rev. Lett. 81 (1998) 3797] is a noise-sustained structure in an open flow system. We also find that, in a certain parameter region, the convectively stabilized uniform flow is destabilized by the non-linearly induced free flow.",
author = "Namiko Mitarai and Hiizu Nakanishi",
year = "2000",
month = "11",
language = "English",
volume = "69",
pages = "3752--3761",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "11",

}

TY - JOUR

T1 - Convective instability and structure formation in traffic flow

AU - Mitarai, Namiko

AU - Nakanishi, Hiizu

PY - 2000/11

Y1 - 2000/11

N2 - The effects of a localized perturbation in an initially uniform traffic flow are investigated with the optimal velocity model under an open boundary condition. The parameter region where the uniform solution is convectively unstable is determined by linear analysis. It is shown that the oscillatory flow, which is linearly unstable but convectively stabilized, is triggered out of a linearly unstable uniform flow by a localized perturbation, and in the upper stream it eventually breaks up into an alternating sequence of jams and free flows. This observation suggests that the real traffic flow pattern observed near an on-ramp [B. S. Kerner: Phys. Rev. Lett. 81 (1998) 3797] is a noise-sustained structure in an open flow system. We also find that, in a certain parameter region, the convectively stabilized uniform flow is destabilized by the non-linearly induced free flow.

AB - The effects of a localized perturbation in an initially uniform traffic flow are investigated with the optimal velocity model under an open boundary condition. The parameter region where the uniform solution is convectively unstable is determined by linear analysis. It is shown that the oscillatory flow, which is linearly unstable but convectively stabilized, is triggered out of a linearly unstable uniform flow by a localized perturbation, and in the upper stream it eventually breaks up into an alternating sequence of jams and free flows. This observation suggests that the real traffic flow pattern observed near an on-ramp [B. S. Kerner: Phys. Rev. Lett. 81 (1998) 3797] is a noise-sustained structure in an open flow system. We also find that, in a certain parameter region, the convectively stabilized uniform flow is destabilized by the non-linearly induced free flow.

UR - http://www.scopus.com/inward/record.url?scp=0034551290&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034551290&partnerID=8YFLogxK

M3 - Article

VL - 69

SP - 3752

EP - 3761

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 11

ER -