Collective dynamics of densely confined active polar disks with self- and mutual alignment
Weizhen Tang, Yating Zheng, Amir Shee, Guozheng Lin, Zhangang Han, Pawel Romanczuk, Cristián Huepe
SciPost Phys. 19, 012 (2025) · published 8 July 2025
- doi: 10.21468/SciPostPhys.19.1.012
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Abstract
We study the emerging collective states in a simple mechanical model of a dense group of self-propelled polar disks with off-centered rotation, confined within a circular arena. Each disk presents self-alignment towards the sum of contact forces acting on it, resulting from disk-substrate interactions, while also displaying mutual alignment with neighbors due to having its center of rotation located a distance R behind its centroid, so that central contact forces can also introduce torques. The effect of both alignment mechanisms produces a variety of collective states that combine high-frequency localized circular oscillations with low-frequency milling around the center of the arena, in fluid or solid regimes. We consider cases with small/large R values, isotropic/anisotropic disk-substrate damping, smooth/rough arena boundaries, different densities, and multiple systems sizes, showing that the emergent collective states that we identify are robust, generic, and potentially observable in real-world natural or artificial systems.
Supplementary Information
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Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Weizhen Tang,
- 2 3 Yating Zheng,
- 4 Amir Shee,
- 5 Guozheng Lin,
- 1 Zhangang Han,
- 2 3 Pawel Romanczuk,
- 1 4 6 Cristian Huepe
- 1 北京师范大学 / Beijing Normal University [BNU]
- 2 Humboldt-Universität zu Berlin / Humboldt University of Berlin [HU]
- 3 Research Cluster of Excellence "Science of Intelligence"
- 4 Northwestern University [NUS]
- 5 北京交通大学 / Beijing Jiaotong University [BJTU]
- 6 CHuepe Labs, Inc.