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
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/101713

id SEDICI_bdf601d0abe910d89072b8353d64543e
oai_identifier_str oai:sedici.unlp.edu.ar:10915/101713
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling 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)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
601-627
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
_version_ 1844616075525750784
score 13.070432