Delay in the dispersal of flocks moving in unbounded space using long-range interactions
Abstract Since the pioneering work by Vicsek and his collaborators on the motion of self-propelled particles, most of the subsequent studies have focused on the onset of ordered states through a phase transition driven by particle density and noise. Usually, the particles in these systems are placed...
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Nature Portfolio
2018
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oai:doaj.org-article:a4786ca9143b4a8b81bd4a67f17582302021-12-02T11:41:04ZDelay in the dispersal of flocks moving in unbounded space using long-range interactions10.1038/s41598-018-34208-x2045-2322https://doaj.org/article/a4786ca9143b4a8b81bd4a67f17582302018-10-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-34208-xhttps://doaj.org/toc/2045-2322Abstract Since the pioneering work by Vicsek and his collaborators on the motion of self-propelled particles, most of the subsequent studies have focused on the onset of ordered states through a phase transition driven by particle density and noise. Usually, the particles in these systems are placed within periodic boundary conditions and interact via short-range velocity alignment forces. However, when the periodic boundaries are eliminated, letting the particles move in open space, the system is not able to organize into a coherently moving group since even small amounts of noise cause the flock to break apart. While the phase transition has been thoroughly studied, the conditions to keep the flock cohesive in open space are still poorly understood. Here we extend the Vicsek model of collective motion by introducing long-range alignment interactions between the particles. We show that just a small number of these interactions is enough for the system to build up long lasting ordered states of collective motion in open space and in the presence of noise. This finding was verified for other models in addition to the Vicsek one, suggesting its generality and revealing the importance that long-range interactions can have for the cohesion of the flock.Martín ZumayaHernán LarraldeMaximino AldanaNature PortfolioarticleLong-range NeighborsVicsek ModelSelf-propelled ParticlesInteractive AlignmentCollective MotionMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-9 (2018) |
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Long-range Neighbors Vicsek Model Self-propelled Particles Interactive Alignment Collective Motion Medicine R Science Q |
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Long-range Neighbors Vicsek Model Self-propelled Particles Interactive Alignment Collective Motion Medicine R Science Q Martín Zumaya Hernán Larralde Maximino Aldana Delay in the dispersal of flocks moving in unbounded space using long-range interactions |
description |
Abstract Since the pioneering work by Vicsek and his collaborators on the motion of self-propelled particles, most of the subsequent studies have focused on the onset of ordered states through a phase transition driven by particle density and noise. Usually, the particles in these systems are placed within periodic boundary conditions and interact via short-range velocity alignment forces. However, when the periodic boundaries are eliminated, letting the particles move in open space, the system is not able to organize into a coherently moving group since even small amounts of noise cause the flock to break apart. While the phase transition has been thoroughly studied, the conditions to keep the flock cohesive in open space are still poorly understood. Here we extend the Vicsek model of collective motion by introducing long-range alignment interactions between the particles. We show that just a small number of these interactions is enough for the system to build up long lasting ordered states of collective motion in open space and in the presence of noise. This finding was verified for other models in addition to the Vicsek one, suggesting its generality and revealing the importance that long-range interactions can have for the cohesion of the flock. |
format |
article |
author |
Martín Zumaya Hernán Larralde Maximino Aldana |
author_facet |
Martín Zumaya Hernán Larralde Maximino Aldana |
author_sort |
Martín Zumaya |
title |
Delay in the dispersal of flocks moving in unbounded space using long-range interactions |
title_short |
Delay in the dispersal of flocks moving in unbounded space using long-range interactions |
title_full |
Delay in the dispersal of flocks moving in unbounded space using long-range interactions |
title_fullStr |
Delay in the dispersal of flocks moving in unbounded space using long-range interactions |
title_full_unstemmed |
Delay in the dispersal of flocks moving in unbounded space using long-range interactions |
title_sort |
delay in the dispersal of flocks moving in unbounded space using long-range interactions |
publisher |
Nature Portfolio |
publishDate |
2018 |
url |
https://doaj.org/article/a4786ca9143b4a8b81bd4a67f1758230 |
work_keys_str_mv |
AT martinzumaya delayinthedispersalofflocksmovinginunboundedspaceusinglongrangeinteractions AT hernanlarralde delayinthedispersalofflocksmovinginunboundedspaceusinglongrangeinteractions AT maximinoaldana delayinthedispersalofflocksmovinginunboundedspaceusinglongrangeinteractions |
_version_ |
1718395476995211264 |