Noise-induced transition to stop-and-go waves in single-file traffic rationalized by an analogy with Kapitza's inverted pendulum
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916666606092288 |
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| author | Dufour, Oscar Cordes, Jakob Nicolas, Alexandre Tordeux, Antoine Rodney, David Schadschneider, Andreas |
| author_facet | Dufour, Oscar Cordes, Jakob Nicolas, Alexandre Tordeux, Antoine Rodney, David Schadschneider, Andreas |
| contents | Stop-and-go waves in vehicular traffic are commonly explained as a linear collective instability induced by e.g. response delays. We explore an alternative mechanism that more faithfully mirrors oscillation formation in dense single-file traffic. Stochastic noise plays a key role in this model; as it is increased, the base (uniform) flow abruptly switches to stop-and-go dynamics despite its unconditional linear stability. We elucidate the instability mechanism and rationalize it quantitatively by likening the system to a cyclically driven Kapitza pendulum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23594 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Noise-induced transition to stop-and-go waves in single-file traffic rationalized by an analogy with Kapitza's inverted pendulum Dufour, Oscar Cordes, Jakob Nicolas, Alexandre Tordeux, Antoine Rodney, David Schadschneider, Andreas Physics and Society Stop-and-go waves in vehicular traffic are commonly explained as a linear collective instability induced by e.g. response delays. We explore an alternative mechanism that more faithfully mirrors oscillation formation in dense single-file traffic. Stochastic noise plays a key role in this model; as it is increased, the base (uniform) flow abruptly switches to stop-and-go dynamics despite its unconditional linear stability. We elucidate the instability mechanism and rationalize it quantitatively by likening the system to a cyclically driven Kapitza pendulum. |
| title | Noise-induced transition to stop-and-go waves in single-file traffic rationalized by an analogy with Kapitza's inverted pendulum |
| topic | Physics and Society |
| url | https://arxiv.org/abs/2503.23594 |