Flocking and turning: a new model for self-organized collective motion

Autores
Cavagna, Andrea; del Castello, Lorenzo; Giardina, Irene; Grigera, Tomas Sebastian; 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.
Fil: Cavagna, Andrea. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; Italia. The Graduate Center. Initiative for the Theoretical Sciences; Estados Unidos
Fil: del Castello, Lorenzo. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; Italia
Fil: Giardina, Irene. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. The Graduate Center. Initiative for the Theoretical Sciences; Estados Unidos
Fil: Grigera, Tomas Sebastian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina. Universidad Nacional de La Plata; Argentina
Fil: Jelic, Asja. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; Italia
Fil: Melillo, Stefania. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; Italia
Fil: Mora, Thierry. Centre National de la Recherche Scientifique. Université Paris VI; Francia
Fil: Parisi, Leonardo. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; Italia
Fil: Silvestri, Edmondo. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; Italia
Fil: Viale, Massimiliano. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; Italia
Fil: Walczak, Aleksandra M.. Centre National de la Recherche Scientifique. Université Paris VI; Francia
Materia
FLOCKING
ACTIVE MATTER
COLLECTIVE BEHAVIOR
EMERGENT BEHAVIOR
ANIMAL GROUPS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/5143
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Flocking and turning: a new model for self-organized collective motionCavagna, Andreadel Castello, LorenzoGiardina, IreneGrigera, Tomas SebastianJelic, AsjaMelillo, StefaniaMora, ThierryParisi, LeonardoSilvestri, EdmondoViale, MassimilianoWalczak, Aleksandra M.FLOCKINGACTIVE MATTERCOLLECTIVE BEHAVIOREMERGENT BEHAVIORANIMAL GROUPShttps://purl.org/becyt/ford/1.6https://purl.org/becyt/ford/1Birds 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.Fil: Cavagna, Andrea. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; Italia. The Graduate Center. Initiative for the Theoretical Sciences; Estados UnidosFil: del Castello, Lorenzo. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; ItaliaFil: Giardina, Irene. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. The Graduate Center. Initiative for the Theoretical Sciences; Estados UnidosFil: Grigera, Tomas Sebastian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina. Universidad Nacional de La Plata; ArgentinaFil: Jelic, Asja. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; ItaliaFil: Melillo, Stefania. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; ItaliaFil: Mora, Thierry. Centre National de la Recherche Scientifique. Université Paris VI; FranciaFil: Parisi, Leonardo. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; ItaliaFil: Silvestri, Edmondo. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; ItaliaFil: Viale, Massimiliano. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; ItaliaFil: Walczak, Aleksandra M.. Centre National de la Recherche Scientifique. Université Paris VI; FranciaSpringer2014-09-27info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/5143Cavagna, Andrea; del Castello, Lorenzo; Giardina, Irene; Grigera, Tomas Sebastian; Jelic, Asja; et al.; Flocking and turning: a new model for self-organized collective motion; Springer; Journal Of Statistical Physics; 158; 3; 27-9-2014; 601-6270022-4715enginfo:eu-repo/semantics/altIdentifier/arxiv/1403.1202v2info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs10955-014-1119-3info:eu-repo/semantics/altIdentifier/doi/10.​1007/​s10955-014-1119-3info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1403.1202v2info:eu-repo/semantics/altIdentifier/doi/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:59:41Zoai:ri.conicet.gov.ar:11336/5143instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:59:42.279CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
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
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, Tomas Sebastian
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, Tomas Sebastian
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, Tomas Sebastian
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 FLOCKING
ACTIVE MATTER
COLLECTIVE BEHAVIOR
EMERGENT BEHAVIOR
ANIMAL GROUPS
topic FLOCKING
ACTIVE MATTER
COLLECTIVE BEHAVIOR
EMERGENT BEHAVIOR
ANIMAL GROUPS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.6
https://purl.org/becyt/ford/1
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.
Fil: Cavagna, Andrea. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; Italia. The Graduate Center. Initiative for the Theoretical Sciences; Estados Unidos
Fil: del Castello, Lorenzo. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; Italia
Fil: Giardina, Irene. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. The Graduate Center. Initiative for the Theoretical Sciences; Estados Unidos
Fil: Grigera, Tomas Sebastian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina. Universidad Nacional de La Plata; Argentina
Fil: Jelic, Asja. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; Italia
Fil: Melillo, Stefania. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; Italia
Fil: Mora, Thierry. Centre National de la Recherche Scientifique. Université Paris VI; Francia
Fil: Parisi, Leonardo. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; Italia
Fil: Silvestri, Edmondo. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; Italia
Fil: Viale, Massimiliano. Centro Nazionale di Ricerca. Istituto Sistemi Complessi; Italia. Universita Di Roma; Italia
Fil: Walczak, Aleksandra M.. Centre National de la Recherche Scientifique. Université Paris VI; Francia
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
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://hdl.handle.net/11336/5143
Cavagna, Andrea; del Castello, Lorenzo; Giardina, Irene; Grigera, Tomas Sebastian; Jelic, Asja; et al.; Flocking and turning: a new model for self-organized collective motion; Springer; Journal Of Statistical Physics; 158; 3; 27-9-2014; 601-627
0022-4715
url http://hdl.handle.net/11336/5143
identifier_str_mv Cavagna, Andrea; del Castello, Lorenzo; Giardina, Irene; Grigera, Tomas Sebastian; Jelic, Asja; et al.; Flocking and turning: a new model for self-organized collective motion; Springer; Journal Of Statistical Physics; 158; 3; 27-9-2014; 601-627
0022-4715
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/arxiv/1403.1202v2
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs10955-014-1119-3
info:eu-repo/semantics/altIdentifier/doi/10.​1007/​s10955-014-1119-3
info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1403.1202v2
info:eu-repo/semantics/altIdentifier/doi/
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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