Noise-induced stop-and-go traffic dynamics: Modelling and control
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918230490087424 |
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| author | Korbmacher, Raphael Khound, Parthib Tordeux, Antoine Gronwald, Frank |
| author_facet | Korbmacher, Raphael Khound, Parthib Tordeux, Antoine Gronwald, Frank |
| contents | This contribution investigates an original stochastic approach for the emergence of stop-and-go waves in traffic flow, a collective phenomenon with significant safety and environmental implications. Using a stable nonlinear car-following model, the study shows that minimal white Gaussian noise can destabilise the flow, leading to a phase transition from laminar to periodic dynamics through a nonlinear instability phenomenon, analogous to Kapitza's pendulum. Furthermore, a simple linear transformation of the model, which amplifies the response and introduces a positive acceleration bias, counteracts noise-induced effects and recovers the stability of uniform solutions. The findings are supported by simulations, offering new insights into the modelling and mitigation of oscillatory traffic dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_04073 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Noise-induced stop-and-go traffic dynamics: Modelling and control Korbmacher, Raphael Khound, Parthib Tordeux, Antoine Gronwald, Frank Physics and Society This contribution investigates an original stochastic approach for the emergence of stop-and-go waves in traffic flow, a collective phenomenon with significant safety and environmental implications. Using a stable nonlinear car-following model, the study shows that minimal white Gaussian noise can destabilise the flow, leading to a phase transition from laminar to periodic dynamics through a nonlinear instability phenomenon, analogous to Kapitza's pendulum. Furthermore, a simple linear transformation of the model, which amplifies the response and introduces a positive acceleration bias, counteracts noise-induced effects and recovers the stability of uniform solutions. The findings are supported by simulations, offering new insights into the modelling and mitigation of oscillatory traffic dynamics. |
| title | Noise-induced stop-and-go traffic dynamics: Modelling and control |
| topic | Physics and Society |
| url | https://arxiv.org/abs/2512.04073 |