Collective dynamics of densely confined active polar disks with self- and mutual alignment

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 interactio...

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Main Author: Weizhen Tang, Yating Zheng, Amir Shee, Guozheng Lin, Zhangang Han, Pawel Romanczuk, Cristián Huepe
Format: Article
Language:English
Published: SciPost 2025-07-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.19.1.012
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author Weizhen Tang, Yating Zheng, Amir Shee, Guozheng Lin, Zhangang Han, Pawel Romanczuk, Cristián Huepe
author_facet Weizhen Tang, Yating Zheng, Amir Shee, Guozheng Lin, Zhangang Han, Pawel Romanczuk, Cristián Huepe
author_sort Weizhen Tang, Yating Zheng, Amir Shee, Guozheng Lin, Zhangang Han, Pawel Romanczuk, Cristián Huepe
collection DOAJ
description 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.
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institution Kabale University
issn 2542-4653
language English
publishDate 2025-07-01
publisher SciPost
record_format Article
series SciPost Physics
spelling doaj-art-004ee6b31e9a413d994b863d6670e0592025-08-20T03:33:42ZengSciPostSciPost Physics2542-46532025-07-0119101210.21468/SciPostPhys.19.1.012Collective dynamics of densely confined active polar disks with self- and mutual alignmentWeizhen Tang, Yating Zheng, Amir Shee, Guozheng Lin, Zhangang Han, Pawel Romanczuk, Cristián HuepeWe 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.https://scipost.org/SciPostPhys.19.1.012
spellingShingle Weizhen Tang, Yating Zheng, Amir Shee, Guozheng Lin, Zhangang Han, Pawel Romanczuk, Cristián Huepe
Collective dynamics of densely confined active polar disks with self- and mutual alignment
SciPost Physics
title Collective dynamics of densely confined active polar disks with self- and mutual alignment
title_full Collective dynamics of densely confined active polar disks with self- and mutual alignment
title_fullStr Collective dynamics of densely confined active polar disks with self- and mutual alignment
title_full_unstemmed Collective dynamics of densely confined active polar disks with self- and mutual alignment
title_short Collective dynamics of densely confined active polar disks with self- and mutual alignment
title_sort collective dynamics of densely confined active polar disks with self and mutual alignment
url https://scipost.org/SciPostPhys.19.1.012
work_keys_str_mv AT weizhentangyatingzhengamirsheeguozhenglinzhanganghanpawelromanczukcristianhuepe collectivedynamicsofdenselyconfinedactivepolardiskswithselfandmutualalignment