Dynamical Renormalization Group Approach to the Collective Behavior of Swarms
- Autores
- Cavagna, Andrea; Di Carlo, Luca; Giardina, Irene; Grandinetti, Luca; Grigera, Tomas Sebastian; 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=d/2, and a stable fixed point with z=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=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.
Fil: Cavagna, Andrea. Consiglio Nazionale delle Ricerche; Italia. Università Degli Studi Di Roma "la Sapienza". Dipartimento Di Sanita Publica E Malattie Infetive; Italia
Fil: Di Carlo, Luca. Consiglio Nazionale delle Ricerche; Italia. Università Degli Studi Di Roma "la Sapienza". Dipartimento Di Sanita Publica E Malattie Infetive; Italia
Fil: Giardina, Irene. Consiglio Nazionale delle Ricerche; Italia. Università Degli Studi Di Roma "la Sapienza". Dipartimento Di Sanita Publica E Malattie Infetive; Italia. Istituto Nazionale Di Fisica Nucleare; Italia
Fil: Grandinetti, Luca. Politecnico di Torino; Italia
Fil: Grigera, Tomas Sebastian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
Fil: Pisegna, Giulia. Consiglio Nazionale delle Ricerche; Italia. Università Degli Studi Di Roma "la Sapienza". Dipartimento Di Sanita Publica E Malattie Infetive; Italia - Materia
-
Collective behavior
active matter
renormalization group - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/125629
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Dynamical Renormalization Group Approach to the Collective Behavior of SwarmsCavagna, AndreaDi Carlo, LucaGiardina, IreneGrandinetti, LucaGrigera, Tomas SebastianPisegna, GiuliaCollective behavioractive matterrenormalization grouphttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We 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=d/2, and a stable fixed point with z=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=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.Fil: Cavagna, Andrea. Consiglio Nazionale delle Ricerche; Italia. Università Degli Studi Di Roma "la Sapienza". Dipartimento Di Sanita Publica E Malattie Infetive; ItaliaFil: Di Carlo, Luca. Consiglio Nazionale delle Ricerche; Italia. Università Degli Studi Di Roma "la Sapienza". Dipartimento Di Sanita Publica E Malattie Infetive; ItaliaFil: Giardina, Irene. Consiglio Nazionale delle Ricerche; Italia. Università Degli Studi Di Roma "la Sapienza". Dipartimento Di Sanita Publica E Malattie Infetive; Italia. Istituto Nazionale Di Fisica Nucleare; ItaliaFil: Grandinetti, Luca. Politecnico di Torino; ItaliaFil: Grigera, Tomas Sebastian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; ArgentinaFil: Pisegna, Giulia. Consiglio Nazionale delle Ricerche; Italia. Università Degli Studi Di Roma "la Sapienza". Dipartimento Di Sanita Publica E Malattie Infetive; ItaliaAmerican Physical Society2019-12-23info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/125629Cavagna, Andrea; Di Carlo, Luca; Giardina, Irene; Grandinetti, Luca; Grigera, Tomas Sebastian; et al.; Dynamical Renormalization Group Approach to the Collective Behavior of Swarms; American Physical Society; Physical Review Letters; 123; 26; 23-12-2019; 1-50031-9007CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevLett.123.268001info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.123.268001info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:03:24Zoai:ri.conicet.gov.ar:11336/125629instacron: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 10:03:24.946CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
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 Collective behavior active matter renormalization group |
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, Tomas Sebastian Pisegna, Giulia |
author |
Cavagna, Andrea |
author_facet |
Cavagna, Andrea Di Carlo, Luca Giardina, Irene Grandinetti, Luca Grigera, Tomas Sebastian Pisegna, Giulia |
author_role |
author |
author2 |
Di Carlo, Luca Giardina, Irene Grandinetti, Luca Grigera, Tomas Sebastian Pisegna, Giulia |
author2_role |
author author author author author |
dc.subject.none.fl_str_mv |
Collective behavior active matter renormalization group |
topic |
Collective behavior active matter renormalization group |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
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=d/2, and a stable fixed point with z=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=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. Fil: Cavagna, Andrea. Consiglio Nazionale delle Ricerche; Italia. Università Degli Studi Di Roma "la Sapienza". Dipartimento Di Sanita Publica E Malattie Infetive; Italia Fil: Di Carlo, Luca. Consiglio Nazionale delle Ricerche; Italia. Università Degli Studi Di Roma "la Sapienza". Dipartimento Di Sanita Publica E Malattie Infetive; Italia Fil: Giardina, Irene. Consiglio Nazionale delle Ricerche; Italia. Università Degli Studi Di Roma "la Sapienza". Dipartimento Di Sanita Publica E Malattie Infetive; Italia. Istituto Nazionale Di Fisica Nucleare; Italia Fil: Grandinetti, Luca. Politecnico di Torino; Italia Fil: Grigera, Tomas Sebastian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina Fil: Pisegna, Giulia. Consiglio Nazionale delle Ricerche; Italia. Università Degli Studi Di Roma "la Sapienza". Dipartimento Di Sanita Publica E Malattie Infetive; Italia |
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=d/2, and a stable fixed point with z=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=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 |
2019-12-23 |
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/11336/125629 Cavagna, Andrea; Di Carlo, Luca; Giardina, Irene; Grandinetti, Luca; Grigera, Tomas Sebastian; et al.; Dynamical Renormalization Group Approach to the Collective Behavior of Swarms; American Physical Society; Physical Review Letters; 123; 26; 23-12-2019; 1-5 0031-9007 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/125629 |
identifier_str_mv |
Cavagna, Andrea; Di Carlo, Luca; Giardina, Irene; Grandinetti, Luca; Grigera, Tomas Sebastian; et al.; Dynamical Renormalization Group Approach to the Collective Behavior of Swarms; American Physical Society; Physical Review Letters; 123; 26; 23-12-2019; 1-5 0031-9007 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevLett.123.268001 info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.123.268001 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
American Physical Society |
publisher.none.fl_str_mv |
American Physical Society |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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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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13.070432 |