A Kinematic Constraint on Pedestrian Walking: Power-law Scaling between Critical Angular Velocity and Speed
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911011789864960 |
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| author | Wang, Jinghui Lv, Wei Li, Chao Li, Yufei |
| author_facet | Wang, Jinghui Lv, Wei Li, Chao Li, Yufei |
| contents | This paper presents a statistical analysis of speed and angular velocity obtained from pedestrian experiments across nine distinct datasets. Experimental scenarios included crossing motion, unidirectional/bidirectional flows, bidirectional/four-directional crossing flows, pedestrian-vehicle interactions, unidirectional flow in a circular corridor, and circle antipode configurations. We applied filtering methods to reduce noise and analyzed the data at different sampling frequencies. The results reveal a universal power-law scaling between critical angular velocity and speed, with a scaling exponent of approximately -0.8. This relationship defines a bounded region in the speed-angular velocity phase space, suggesting a kinematic constraint on pedestrian motion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15321 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Kinematic Constraint on Pedestrian Walking: Power-law Scaling between Critical Angular Velocity and Speed Wang, Jinghui Lv, Wei Li, Chao Li, Yufei Physics and Society This paper presents a statistical analysis of speed and angular velocity obtained from pedestrian experiments across nine distinct datasets. Experimental scenarios included crossing motion, unidirectional/bidirectional flows, bidirectional/four-directional crossing flows, pedestrian-vehicle interactions, unidirectional flow in a circular corridor, and circle antipode configurations. We applied filtering methods to reduce noise and analyzed the data at different sampling frequencies. The results reveal a universal power-law scaling between critical angular velocity and speed, with a scaling exponent of approximately -0.8. This relationship defines a bounded region in the speed-angular velocity phase space, suggesting a kinematic constraint on pedestrian motion. |
| title | A Kinematic Constraint on Pedestrian Walking: Power-law Scaling between Critical Angular Velocity and Speed |
| topic | Physics and Society |
| url | https://arxiv.org/abs/2506.15321 |