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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Autores principales: Martín Zumaya, Hernán Larralde, Maximino Aldana
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Publicado: Nature Portfolio 2018
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Acceso en línea:https://doaj.org/article/a4786ca9143b4a8b81bd4a67f1758230
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spelling 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)
institution DOAJ
collection DOAJ
language EN
topic Long-range Neighbors
Vicsek Model
Self-propelled Particles
Interactive Alignment
Collective Motion
Medicine
R
Science
Q
spellingShingle 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
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