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Related Experiment Video

Updated: Mar 27, 2026

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

Flow instability originating from particle configurations using the two-dimensional optimal velocity model.

Ryosuke Ishiwata¹, Yuki Sugiyama¹

¹Department of Complex Systems Science, Graduate School of Information Science, Nagoya University, 4648601 Chikusa-ku Furo-chou, Nagoya, Aichi, Japan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|January 15, 2016

Summary

This study examines particle flow stability in a two-dimensional optimal velocity model. Diagonal interactions destabilize particle flow, removing stable regions via an elliptically polarized mode.

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Last Updated: Mar 27, 2026

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

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Published on: July 19, 2016

Area of Science:

Physics
Complex Systems
Collective Motion

Background:

The two-dimensional optimal velocity model is relevant for pedestrian dynamics and animal collective motion.
Previous work established a linear stability analysis for this model.

Purpose of the Study:

To extend linear stability analysis.
To investigate how particle configuration affects collective oscillation wave modes.

Main Methods:

Linear stability analysis was extended.
The influence of particle interactions, specifically diagonal ones, on wave modes was examined.

Main Results:

The stable region of particle flow is eliminated when diagonal interactions are absent.
An elliptically polarized mode was identified as the cause of this destabilization.

Conclusions:

Particle configuration significantly impacts the stability of collective oscillations.
The absence of diagonal interactions leads to complete destabilization of particle flow in this model.