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
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/125629
Acceder
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network_name_str CONICET Digital (CONICET)
spelling 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 Técnicas2025-10-22T11:33:12Zoai: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:34982025-10-22 11:33:12.967CONICET 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
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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score 12.982451

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