Individual particle persistence antagonizes global ordering in populations of nematically aligning self-propelled particles

The transition from individual to collective motion plays a significant role in many biological processes. While the implications of different types of particle-particle interactions for the emergence of particular modes of collective motion have been well studied, it is unclear how particular types of individual migration patterns influence collective motion. Here, motivated by swarming bacteria Myxococcus xanthus, we investigate the combined effects of the individual pattern of migration and particle-particle interactions on the emergence of collective migration. We analyze the effects of a feature of individual pattern migration, the persistence of motion, on the collective properties of the system that emerge from interactions among individuals, particularly when nematic velocity alignment interaction mediates collective dynamics. We find, through computer simulations and mathematical analysis, that an initially disordered migratory state can become globally ordered by increasing either the particle-particle alignment interaction strength or the persistence of individual migration. In contrast, we find that persistence prevents the emergence of global nematic order when both persistence and nematic alignment are comparatively high. We conclude that behavior at the population level not only depends on interactions between individuals but also on their own intrinsic behavior.

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Publication Details

Journal
Physical review. E
Published
2025-02-10
DOI
https://doi.org/10.1103/physreve.111.025409
Primary Topic
Micro and Nano Robotics
Type
article
Field-Weighted Citation Impact
0.00

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article

Individual particle persistence antagonizes global ordering in populations of nematically aligning self-propelled particles

Rainer Klages, Haralampos Hatzikirou, Francisco J. Sevilla, Josué Manik Nava-Sedeño et al.
Physical review. E
Micro and Nano Robotics
article

Individual particle persistence antagonizes global ordering in populations of nematically aligning self-propelled particles

Rainer Klages, Haralampos Hatzikirou, Francisco J. Sevilla, Josué Manik Nava-Sedeño, Andreas Deutsch
article en

Abstract

The transition from individual to collective motion plays a significant role in many biological processes. While the implications of different types of particle-particle interactions for the emergence of particular modes of collective motion have been well studied, it is unclear how particular types of individual migration patterns influence collective motion. Here, motivated by swarming bacteria Myxococcus xanthus, we investigate the combined effects of the individual pattern of migration and particle-particle interactions on the emergence of collective migration. We analyze the effects of a feature of individual pattern migration, the persistence of motion, on the collective properties of the system that emerge from interactions among individuals, particularly when nematic velocity alignment interaction mediates collective dynamics. We find, through computer simulations and mathematical analysis, that an initially disordered migratory state can become globally ordered by increasing either the particle-particle alignment interaction strength or the persistence of individual migration. In contrast, we find that persistence prevents the emergence of global nematic order when both persistence and nematic alignment are comparatively high. We conclude that behavior at the population level not only depends on interactions between individuals but also on their own intrinsic behavior.

Physical review. EVol. 111(2)
Queen Mary University of London (GB), Khalifa University of Science and Technology (AE), London Mathematical Laboratory (GB), Technische Universität Dresden (DE), Universidad Nacional Autónoma de México (MX)
Volkswagen Foundation, Technische Universität Dresden, Zentrum für Informationsdienste und Hochleistungsrechnen, Technische Universität Dresden
Openalex Percentile: Top 98%
Micro and Nano Robotics
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