Propagating speed waves in flocks: A mathematical model

Autores
Cavagnaro, Romina Andrea; Conti, Daniele; Giardina, Irene; Grigera, Tomas Sebastian
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
An efficient collective response to external perturbations is one of the most striking abilities of a biological system. One of the crucial aspect of this phenomenon is given by the information transfer, and resulting propagation of signals, within the group. In this respect the existence of density waves that propagate linearly on a flock of birds is well known. However, most aspects of this phenomenon are still not fully captured by theoretical models. In this work we present a model for the propagation of speed fluctuations inside a flock, which is able to reproduce the observed density waves. We study the full solution of the model in d=1, and we find a line in the parameter space along which the system relaxes as fast as possible without oscillating, resembling a generalized critical damping condition. By analyzing the parameters plane we show that this "critical damping" line indeed represents an attractor for a steepest descent dynamics of the return time of the system. Finally we propose a method to test the validity of the model through future experiments.
Fil: Cavagnaro, Romina Andrea. Consiglio Nazionale delle Ricerche; Italia
Fil: Conti, Daniele. Università degli studi di Roma "La Sapienza; Italia
Fil: Giardina, Irene. Università degli studi di Roma "La Sapienza; ; 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
Materia
Active Matter
Flocking
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/89286
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Propagating speed waves in flocks: A mathematical modelCavagnaro, Romina AndreaConti, DanieleGiardina, IreneGrigera, Tomas SebastianActive MatterFlockinghttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1An efficient collective response to external perturbations is one of the most striking abilities of a biological system. One of the crucial aspect of this phenomenon is given by the information transfer, and resulting propagation of signals, within the group. In this respect the existence of density waves that propagate linearly on a flock of birds is well known. However, most aspects of this phenomenon are still not fully captured by theoretical models. In this work we present a model for the propagation of speed fluctuations inside a flock, which is able to reproduce the observed density waves. We study the full solution of the model in d=1, and we find a line in the parameter space along which the system relaxes as fast as possible without oscillating, resembling a generalized critical damping condition. By analyzing the parameters plane we show that this "critical damping" line indeed represents an attractor for a steepest descent dynamics of the return time of the system. Finally we propose a method to test the validity of the model through future experiments.Fil: Cavagnaro, Romina Andrea. Consiglio Nazionale delle Ricerche; ItaliaFil: Conti, Daniele. Università degli studi di Roma "La Sapienza; ItaliaFil: Giardina, Irene. Università degli studi di Roma "La Sapienza; ; 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; ArgentinaAmerican Physical Society2018-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/89286Cavagnaro, Romina Andrea; Conti, Daniele; Giardina, Irene; Grigera, Tomas Sebastian; Propagating speed waves in flocks: A mathematical model; American Physical Society; Physical Review E; 98; 5; 11-20182470-0053CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.98.052404info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.052404info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:33:39Zoai:ri.conicet.gov.ar:11336/89286instacron: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 09:33:39.907CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Propagating speed waves in flocks: A mathematical model
title Propagating speed waves in flocks: A mathematical model
spellingShingle Propagating speed waves in flocks: A mathematical model
Cavagnaro, Romina Andrea
Active Matter
Flocking
title_short Propagating speed waves in flocks: A mathematical model
title_full Propagating speed waves in flocks: A mathematical model
title_fullStr Propagating speed waves in flocks: A mathematical model
title_full_unstemmed Propagating speed waves in flocks: A mathematical model
title_sort Propagating speed waves in flocks: A mathematical model
dc.creator.none.fl_str_mv Cavagnaro, Romina Andrea
Conti, Daniele
Giardina, Irene
Grigera, Tomas Sebastian
author Cavagnaro, Romina Andrea
author_facet Cavagnaro, Romina Andrea
Conti, Daniele
Giardina, Irene
Grigera, Tomas Sebastian
author_role author
author2 Conti, Daniele
Giardina, Irene
Grigera, Tomas Sebastian
author2_role author
author
author
dc.subject.none.fl_str_mv Active Matter
Flocking
topic Active Matter
Flocking
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv An efficient collective response to external perturbations is one of the most striking abilities of a biological system. One of the crucial aspect of this phenomenon is given by the information transfer, and resulting propagation of signals, within the group. In this respect the existence of density waves that propagate linearly on a flock of birds is well known. However, most aspects of this phenomenon are still not fully captured by theoretical models. In this work we present a model for the propagation of speed fluctuations inside a flock, which is able to reproduce the observed density waves. We study the full solution of the model in d=1, and we find a line in the parameter space along which the system relaxes as fast as possible without oscillating, resembling a generalized critical damping condition. By analyzing the parameters plane we show that this "critical damping" line indeed represents an attractor for a steepest descent dynamics of the return time of the system. Finally we propose a method to test the validity of the model through future experiments.
Fil: Cavagnaro, Romina Andrea. Consiglio Nazionale delle Ricerche; Italia
Fil: Conti, Daniele. Università degli studi di Roma "La Sapienza; Italia
Fil: Giardina, Irene. Università degli studi di Roma "La Sapienza; ; 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
description An efficient collective response to external perturbations is one of the most striking abilities of a biological system. One of the crucial aspect of this phenomenon is given by the information transfer, and resulting propagation of signals, within the group. In this respect the existence of density waves that propagate linearly on a flock of birds is well known. However, most aspects of this phenomenon are still not fully captured by theoretical models. In this work we present a model for the propagation of speed fluctuations inside a flock, which is able to reproduce the observed density waves. We study the full solution of the model in d=1, and we find a line in the parameter space along which the system relaxes as fast as possible without oscillating, resembling a generalized critical damping condition. By analyzing the parameters plane we show that this "critical damping" line indeed represents an attractor for a steepest descent dynamics of the return time of the system. Finally we propose a method to test the validity of the model through future experiments.
publishDate 2018
dc.date.none.fl_str_mv 2018-11
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/11336/89286
Cavagnaro, Romina Andrea; Conti, Daniele; Giardina, Irene; Grigera, Tomas Sebastian; Propagating speed waves in flocks: A mathematical model; American Physical Society; Physical Review E; 98; 5; 11-2018
2470-0053
CONICET Digital
CONICET
url http://hdl.handle.net/11336/89286
identifier_str_mv Cavagnaro, Romina Andrea; Conti, Daniele; Giardina, Irene; Grigera, Tomas Sebastian; Propagating speed waves in flocks: A mathematical model; American Physical Society; Physical Review E; 98; 5; 11-2018
2470-0053
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.98.052404
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.052404
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/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 13.070432

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