Flocking and turning: a new model for self-organized collective motion
- Autores
- Cavagna, Andrea; del Castello, Lorenzo; Giardina, Irene; Grigera, Tomás Sebastián; Jelic, Asja; Melillo, Stefania; Mora, Thierry; Parisi, Leonardo; Silvestri, Edmondo; Viale, Massimiliano; Walczak, Aleksandra M.
- Año de publicación
- 2014
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Birds in a flock move in a correlated way, resulting in large polarization of velocities. A good understanding of this collective behavior exists for linear motion of the flock. Yet observing actual birds, the center of mass of the group often turns giving rise to more complicated dynamics, still keeping strong polarization of the flock. Here we propose novel dynamical equations for the collective motion of polarized animal groups that account for correlated turning including solely social forces. We exploit rotational symmetries and conservation laws of the problem to formulate a theory in terms of generalized coordinates of motion for the velocity directions akin to a Hamiltonian formulation for rotations. We explicitly derive the correspondence between this formulation and the dynamics of the individual velocities, thus obtaining a new model of collective motion. In the appropriate overdamped limit we recover the well-known Vicsek model, which dissipates rotational information and does not allow for polarized turns. Although the new model has its most vivid success in describing turning groups, its dynamics is intrinsically different from previous ones in a wide dynamical regime, while reducing to the hydrodynamic description of Toner and Tu at very large length-scales. The derived framework is therefore general and it may describe the collective motion of any strongly polarized active matter system.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas - Materia
-
Física
Flocking
Active matter
Collective behavior
Emergent behavior
Animal groups - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/101713
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Flocking and turning: a new model for self-organized collective motionCavagna, Andreadel Castello, LorenzoGiardina, IreneGrigera, Tomás SebastiánJelic, AsjaMelillo, StefaniaMora, ThierryParisi, LeonardoSilvestri, EdmondoViale, MassimilianoWalczak, Aleksandra M.FísicaFlockingActive matterCollective behaviorEmergent behaviorAnimal groupsBirds in a flock move in a correlated way, resulting in large polarization of velocities. A good understanding of this collective behavior exists for linear motion of the flock. Yet observing actual birds, the center of mass of the group often turns giving rise to more complicated dynamics, still keeping strong polarization of the flock. Here we propose novel dynamical equations for the collective motion of polarized animal groups that account for correlated turning including solely social forces. We exploit rotational symmetries and conservation laws of the problem to formulate a theory in terms of generalized coordinates of motion for the velocity directions akin to a Hamiltonian formulation for rotations. We explicitly derive the correspondence between this formulation and the dynamics of the individual velocities, thus obtaining a new model of collective motion. In the appropriate overdamped limit we recover the well-known Vicsek model, which dissipates rotational information and does not allow for polarized turns. Although the new model has its most vivid success in describing turning groups, its dynamics is intrinsically different from previous ones in a wide dynamical regime, while reducing to the hydrodynamic description of Toner and Tu at very large length-scales. The derived framework is therefore general and it may describe the collective motion of any strongly polarized active matter system.Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas2014-09-27info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf601-627http://sedici.unlp.edu.ar/handle/10915/101713enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/5143info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs10955-014-1119-3info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1403.1202v2info:eu-repo/semantics/altIdentifier/issn/0022-4715info:eu-repo/semantics/altIdentifier/arxiv/1403.1202v2info:eu-repo/semantics/altIdentifier/doi/10.1007/s10955-014-1119-3info:eu-repo/semantics/altIdentifier/hdl/11336/5143info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:20:06Zoai:sedici.unlp.edu.ar:10915/101713Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:20:06.99SEDICI (UNLP) - Universidad Nacional de La Platafalse |
dc.title.none.fl_str_mv |
Flocking and turning: a new model for self-organized collective motion |
title |
Flocking and turning: a new model for self-organized collective motion |
spellingShingle |
Flocking and turning: a new model for self-organized collective motion Cavagna, Andrea Física Flocking Active matter Collective behavior Emergent behavior Animal groups |
title_short |
Flocking and turning: a new model for self-organized collective motion |
title_full |
Flocking and turning: a new model for self-organized collective motion |
title_fullStr |
Flocking and turning: a new model for self-organized collective motion |
title_full_unstemmed |
Flocking and turning: a new model for self-organized collective motion |
title_sort |
Flocking and turning: a new model for self-organized collective motion |
dc.creator.none.fl_str_mv |
Cavagna, Andrea del Castello, Lorenzo Giardina, Irene Grigera, Tomás Sebastián Jelic, Asja Melillo, Stefania Mora, Thierry Parisi, Leonardo Silvestri, Edmondo Viale, Massimiliano Walczak, Aleksandra M. |
author |
Cavagna, Andrea |
author_facet |
Cavagna, Andrea del Castello, Lorenzo Giardina, Irene Grigera, Tomás Sebastián Jelic, Asja Melillo, Stefania Mora, Thierry Parisi, Leonardo Silvestri, Edmondo Viale, Massimiliano Walczak, Aleksandra M. |
author_role |
author |
author2 |
del Castello, Lorenzo Giardina, Irene Grigera, Tomás Sebastián Jelic, Asja Melillo, Stefania Mora, Thierry Parisi, Leonardo Silvestri, Edmondo Viale, Massimiliano Walczak, Aleksandra M. |
author2_role |
author author author author author author author author author author |
dc.subject.none.fl_str_mv |
Física Flocking Active matter Collective behavior Emergent behavior Animal groups |
topic |
Física Flocking Active matter Collective behavior Emergent behavior Animal groups |
dc.description.none.fl_txt_mv |
Birds in a flock move in a correlated way, resulting in large polarization of velocities. A good understanding of this collective behavior exists for linear motion of the flock. Yet observing actual birds, the center of mass of the group often turns giving rise to more complicated dynamics, still keeping strong polarization of the flock. Here we propose novel dynamical equations for the collective motion of polarized animal groups that account for correlated turning including solely social forces. We exploit rotational symmetries and conservation laws of the problem to formulate a theory in terms of generalized coordinates of motion for the velocity directions akin to a Hamiltonian formulation for rotations. We explicitly derive the correspondence between this formulation and the dynamics of the individual velocities, thus obtaining a new model of collective motion. In the appropriate overdamped limit we recover the well-known Vicsek model, which dissipates rotational information and does not allow for polarized turns. Although the new model has its most vivid success in describing turning groups, its dynamics is intrinsically different from previous ones in a wide dynamical regime, while reducing to the hydrodynamic description of Toner and Tu at very large length-scales. The derived framework is therefore general and it may describe the collective motion of any strongly polarized active matter system. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas |
description |
Birds in a flock move in a correlated way, resulting in large polarization of velocities. A good understanding of this collective behavior exists for linear motion of the flock. Yet observing actual birds, the center of mass of the group often turns giving rise to more complicated dynamics, still keeping strong polarization of the flock. Here we propose novel dynamical equations for the collective motion of polarized animal groups that account for correlated turning including solely social forces. We exploit rotational symmetries and conservation laws of the problem to formulate a theory in terms of generalized coordinates of motion for the velocity directions akin to a Hamiltonian formulation for rotations. We explicitly derive the correspondence between this formulation and the dynamics of the individual velocities, thus obtaining a new model of collective motion. In the appropriate overdamped limit we recover the well-known Vicsek model, which dissipates rotational information and does not allow for polarized turns. Although the new model has its most vivid success in describing turning groups, its dynamics is intrinsically different from previous ones in a wide dynamical regime, while reducing to the hydrodynamic description of Toner and Tu at very large length-scales. The derived framework is therefore general and it may describe the collective motion of any strongly polarized active matter system. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-09-27 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://sedici.unlp.edu.ar/handle/10915/101713 |
url |
http://sedici.unlp.edu.ar/handle/10915/101713 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/5143 info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs10955-014-1119-3 info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1403.1202v2 info:eu-repo/semantics/altIdentifier/issn/0022-4715 info:eu-repo/semantics/altIdentifier/arxiv/1403.1202v2 info:eu-repo/semantics/altIdentifier/doi/10.1007/s10955-014-1119-3 info:eu-repo/semantics/altIdentifier/hdl/11336/5143 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
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openAccess |
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http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
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application/pdf 601-627 |
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