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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/5143
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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 Técnicas2025-09-29T10:27:08Zoai: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:34982025-09-29 10:27:08.489CONICET 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/ |
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openAccess |
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https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
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application/pdf application/pdf application/pdf |
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Springer |
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Springer |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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