Flocking and turning: a new model for self-organized collective motion
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 ke...
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| Autores principales: | , , , , , , , , , , |
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| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
2014
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| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/101713 https://ri.conicet.gov.ar/11336/5143 http://link.springer.com/article/10.1007%2Fs10955-014-1119-3 http://arxiv.org/abs/1403.1202v2 |
| Aporte de: |
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I19-R120-10915-101713 |
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| record_format |
dspace |
| institution |
Universidad Nacional de La Plata |
| institution_str |
I-19 |
| repository_str |
R-120 |
| collection |
SEDICI (UNLP) |
| language |
Inglés |
| topic |
Física Flocking Active matter Collective behavior Emergent behavior Animal groups |
| spellingShingle |
Física Flocking Active matter Collective behavior Emergent behavior Animal groups 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. Flocking and turning: a new model for self-organized collective motion |
| topic_facet |
Física Flocking Active matter Collective behavior Emergent behavior Animal groups |
| 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. |
| format |
Articulo Articulo |
| author |
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_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_sort |
Cavagna, Andrea |
| title |
Flocking and turning: a new model for self-organized collective motion |
| 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 |
| publishDate |
2014 |
| url |
http://sedici.unlp.edu.ar/handle/10915/101713 https://ri.conicet.gov.ar/11336/5143 http://link.springer.com/article/10.1007%2Fs10955-014-1119-3 http://arxiv.org/abs/1403.1202v2 |
| work_keys_str_mv |
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Repositorios |
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1764820442890108928 |