Dynamical Renormalization Group Approach to the Collective Behavior of Swarms
- Autores
- Cavagna, Andrea; Di Carlo, Luca; Giardina, Irene; Grandinetti, Luca; Grigera, Tomás Sebastián; Pisegna, Giulia
- Año de publicación
- 2019
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We study the critical behavior of a model with nondissipative couplings aimed at describing the collective behavior of natural swarms, using the dynamical renormalization group under a fixed-network approximation. At one loop, we find a crossover between an unstable fixed point, characterized by a dynamical critical exponent z ¼ d=2, and a stable fixed point with z ¼ 2, a result we confirm through numerical simulations. The crossover is regulated by a length scale given by the ratio between the transport coefficient and the effective friction, so that in finite-size biological systems with low dissipation, dynamics is ruled by the unstable fixed point. In three dimensions this mechanism gives z ¼ 3=2, a value significantly closer to the experimental window, 1.0 ≤ z ≤ 1.3, than the value z ≈ 2 numerically found in fully dissipative models, either at or off equilibrium. This result indicates that nondissipative dynamical couplings are necessary to develop a theory of natural swarms fully consistent with experiments.
Instituto de Física de Líquidos y Sistemas Biológicos - Materia
-
Física
Biología
Collective behavior
Swarming. active matter
Bose-Einstein condensates
Collective dynamics - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/132531
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Dynamical Renormalization Group Approach to the Collective Behavior of SwarmsCavagna, AndreaDi Carlo, LucaGiardina, IreneGrandinetti, LucaGrigera, Tomás SebastiánPisegna, GiuliaFísicaBiologíaCollective behaviorSwarming. active matterBose-Einstein condensatesCollective dynamicsWe study the critical behavior of a model with nondissipative couplings aimed at describing the collective behavior of natural swarms, using the dynamical renormalization group under a fixed-network approximation. At one loop, we find a crossover between an unstable fixed point, characterized by a dynamical critical exponent z ¼ d=2, and a stable fixed point with z ¼ 2, a result we confirm through numerical simulations. The crossover is regulated by a length scale given by the ratio between the transport coefficient and the effective friction, so that in finite-size biological systems with low dissipation, dynamics is ruled by the unstable fixed point. In three dimensions this mechanism gives z ¼ 3=2, a value significantly closer to the experimental window, 1.0 ≤ z ≤ 1.3, than the value z ≈ 2 numerically found in fully dissipative models, either at or off equilibrium. This result indicates that nondissipative dynamical couplings are necessary to develop a theory of natural swarms fully consistent with experiments.Instituto de Física de Líquidos y Sistemas Biológicos2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/132531enginfo:eu-repo/semantics/altIdentifier/issn/1079-7114info:eu-repo/semantics/altIdentifier/issn/0031-9007info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevlett.123.268001info:eu-repo/semantics/altIdentifier/arxiv/1905.01227info:eu-repo/semantics/altIdentifier/pmid/31951428info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:32:12Zoai:sedici.unlp.edu.ar:10915/132531Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:32:13.106SEDICI (UNLP) - Universidad Nacional de La Platafalse |
dc.title.none.fl_str_mv |
Dynamical Renormalization Group Approach to the Collective Behavior of Swarms |
title |
Dynamical Renormalization Group Approach to the Collective Behavior of Swarms |
spellingShingle |
Dynamical Renormalization Group Approach to the Collective Behavior of Swarms Cavagna, Andrea Física Biología Collective behavior Swarming. active matter Bose-Einstein condensates Collective dynamics |
title_short |
Dynamical Renormalization Group Approach to the Collective Behavior of Swarms |
title_full |
Dynamical Renormalization Group Approach to the Collective Behavior of Swarms |
title_fullStr |
Dynamical Renormalization Group Approach to the Collective Behavior of Swarms |
title_full_unstemmed |
Dynamical Renormalization Group Approach to the Collective Behavior of Swarms |
title_sort |
Dynamical Renormalization Group Approach to the Collective Behavior of Swarms |
dc.creator.none.fl_str_mv |
Cavagna, Andrea Di Carlo, Luca Giardina, Irene Grandinetti, Luca Grigera, Tomás Sebastián Pisegna, Giulia |
author |
Cavagna, Andrea |
author_facet |
Cavagna, Andrea Di Carlo, Luca Giardina, Irene Grandinetti, Luca Grigera, Tomás Sebastián Pisegna, Giulia |
author_role |
author |
author2 |
Di Carlo, Luca Giardina, Irene Grandinetti, Luca Grigera, Tomás Sebastián Pisegna, Giulia |
author2_role |
author author author author author |
dc.subject.none.fl_str_mv |
Física Biología Collective behavior Swarming. active matter Bose-Einstein condensates Collective dynamics |
topic |
Física Biología Collective behavior Swarming. active matter Bose-Einstein condensates Collective dynamics |
dc.description.none.fl_txt_mv |
We study the critical behavior of a model with nondissipative couplings aimed at describing the collective behavior of natural swarms, using the dynamical renormalization group under a fixed-network approximation. At one loop, we find a crossover between an unstable fixed point, characterized by a dynamical critical exponent z ¼ d=2, and a stable fixed point with z ¼ 2, a result we confirm through numerical simulations. The crossover is regulated by a length scale given by the ratio between the transport coefficient and the effective friction, so that in finite-size biological systems with low dissipation, dynamics is ruled by the unstable fixed point. In three dimensions this mechanism gives z ¼ 3=2, a value significantly closer to the experimental window, 1.0 ≤ z ≤ 1.3, than the value z ≈ 2 numerically found in fully dissipative models, either at or off equilibrium. This result indicates that nondissipative dynamical couplings are necessary to develop a theory of natural swarms fully consistent with experiments. Instituto de Física de Líquidos y Sistemas Biológicos |
description |
We study the critical behavior of a model with nondissipative couplings aimed at describing the collective behavior of natural swarms, using the dynamical renormalization group under a fixed-network approximation. At one loop, we find a crossover between an unstable fixed point, characterized by a dynamical critical exponent z ¼ d=2, and a stable fixed point with z ¼ 2, a result we confirm through numerical simulations. The crossover is regulated by a length scale given by the ratio between the transport coefficient and the effective friction, so that in finite-size biological systems with low dissipation, dynamics is ruled by the unstable fixed point. In three dimensions this mechanism gives z ¼ 3=2, a value significantly closer to the experimental window, 1.0 ≤ z ≤ 1.3, than the value z ≈ 2 numerically found in fully dissipative models, either at or off equilibrium. This result indicates that nondissipative dynamical couplings are necessary to develop a theory of natural swarms fully consistent with experiments. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019 |
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/10915/132531 |
url |
http://sedici.unlp.edu.ar/handle/10915/132531 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/issn/1079-7114 info:eu-repo/semantics/altIdentifier/issn/0031-9007 info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevlett.123.268001 info:eu-repo/semantics/altIdentifier/arxiv/1905.01227 info:eu-repo/semantics/altIdentifier/pmid/31951428 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
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application/pdf |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
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alira@sedici.unlp.edu.ar |
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