Discrete Laplacian thermostat for flocks and swarms: the fully conserved Inertial Spin Model

Autores
Cavagna, Andrea; Cristín, Javier; Giardina, Irene; Grigera, Tomas Sebastian; Veca, Mario
Año de publicación
2024
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Experiments on bird flocks and midge swarms reveal that these natural sys-tems are well described by an active theory in which conservation laws playa crucial role. By building a symplectic structure that couples the particles’velocities to the generator of their internal rotations (spin), the Inertial SpinModel (ISM) reinstates a second-order temporal dynamics that captures manyphenomenological traits of flocks and swarms. The reversible structure ofthe ISM predicts that the total spin is a constant of motion, the central con-servation law responsible for all the novel dynamical features of the model.However, fluctuations and dissipation introduced in the original model to makeit relax, violate the spin conservation law, so that the ISM aligns with thebiophysical phenomenology only within finite-size regimes, beyond which theoverdamped dynamics characteristic of the Vicsek model takes over. Here, we introduce a novel version of the ISM, in which the irreversible terms neededto relax the dynamics strictly respect the conservation of the spin. We performa numerical investigation of the fully conservative model, exploring both thefixed-network case, which belongs to the equilibrium class of Model G, andthe active case, characterized by self-propulsion of the agents and an out-of-equilibrium reshuffling of the underlying interaction network. Our simulationsnot only capture the correct spin wave phenomenology of the ordered phase,but they also yield dynamical critical exponents in the near-ordering phase thatagree very well with the theoretical predictions.
Fil: Cavagna, Andrea. Università degli Studi di Roma "La Sapienza"; Italia
Fil: Cristín, Javier. Università degli Studi di Roma "La Sapienza"; Italia
Fil: Giardina, Irene. Università di Roma; 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: Veca, Mario. Università degli Studi di Roma "La Sapienza"; Italia
Materia
COLELCTIVE BEHAVIOUR
INERTIAL SPIN MODEL
CONSERVATION LAW
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:11336/273477
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Discrete Laplacian thermostat for flocks and swarms: the fully conserved Inertial Spin ModelCavagna, AndreaCristín, JavierGiardina, IreneGrigera, Tomas SebastianVeca, MarioCOLELCTIVE BEHAVIOURINERTIAL SPIN MODELCONSERVATION LAWhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Experiments on bird flocks and midge swarms reveal that these natural sys-tems are well described by an active theory in which conservation laws playa crucial role. By building a symplectic structure that couples the particles’velocities to the generator of their internal rotations (spin), the Inertial SpinModel (ISM) reinstates a second-order temporal dynamics that captures manyphenomenological traits of flocks and swarms. The reversible structure ofthe ISM predicts that the total spin is a constant of motion, the central con-servation law responsible for all the novel dynamical features of the model.However, fluctuations and dissipation introduced in the original model to makeit relax, violate the spin conservation law, so that the ISM aligns with thebiophysical phenomenology only within finite-size regimes, beyond which theoverdamped dynamics characteristic of the Vicsek model takes over. Here, we introduce a novel version of the ISM, in which the irreversible terms neededto relax the dynamics strictly respect the conservation of the spin. We performa numerical investigation of the fully conservative model, exploring both thefixed-network case, which belongs to the equilibrium class of Model G, andthe active case, characterized by self-propulsion of the agents and an out-of-equilibrium reshuffling of the underlying interaction network. Our simulationsnot only capture the correct spin wave phenomenology of the ordered phase,but they also yield dynamical critical exponents in the near-ordering phase thatagree very well with the theoretical predictions.Fil: Cavagna, Andrea. Università degli Studi di Roma "La Sapienza"; ItaliaFil: Cristín, Javier. Università degli Studi di Roma "La Sapienza"; ItaliaFil: Giardina, Irene. Università di Roma; 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: Veca, Mario. Università degli Studi di Roma "La Sapienza"; ItaliaIOP Publishing2024-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/273477Cavagna, Andrea; Cristín, Javier; Giardina, Irene; Grigera, Tomas Sebastian; Veca, Mario; Discrete Laplacian thermostat for flocks and swarms: the fully conserved Inertial Spin Model; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 57; 41; 9-2024; 1-251751-8113CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1751-8121/ad7ca0info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8121/ad7ca0info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:11:17Zoai:ri.conicet.gov.ar:11336/273477instacron: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 11:11:17.521CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Discrete Laplacian thermostat for flocks and swarms: the fully conserved Inertial Spin Model
title Discrete Laplacian thermostat for flocks and swarms: the fully conserved Inertial Spin Model
spellingShingle Discrete Laplacian thermostat for flocks and swarms: the fully conserved Inertial Spin Model
Cavagna, Andrea
COLELCTIVE BEHAVIOUR
INERTIAL SPIN MODEL
CONSERVATION LAW
title_short Discrete Laplacian thermostat for flocks and swarms: the fully conserved Inertial Spin Model
title_full Discrete Laplacian thermostat for flocks and swarms: the fully conserved Inertial Spin Model
title_fullStr Discrete Laplacian thermostat for flocks and swarms: the fully conserved Inertial Spin Model
title_full_unstemmed Discrete Laplacian thermostat for flocks and swarms: the fully conserved Inertial Spin Model
title_sort Discrete Laplacian thermostat for flocks and swarms: the fully conserved Inertial Spin Model
dc.creator.none.fl_str_mv Cavagna, Andrea
Cristín, Javier
Giardina, Irene
Grigera, Tomas Sebastian
Veca, Mario
author Cavagna, Andrea
author_facet Cavagna, Andrea
Cristín, Javier
Giardina, Irene
Grigera, Tomas Sebastian
Veca, Mario
author_role author
author2 Cristín, Javier
Giardina, Irene
Grigera, Tomas Sebastian
Veca, Mario
author2_role author
author
author
author
dc.subject.none.fl_str_mv COLELCTIVE BEHAVIOUR
INERTIAL SPIN MODEL
CONSERVATION LAW
topic COLELCTIVE BEHAVIOUR
INERTIAL SPIN MODEL
CONSERVATION LAW
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Experiments on bird flocks and midge swarms reveal that these natural sys-tems are well described by an active theory in which conservation laws playa crucial role. By building a symplectic structure that couples the particles’velocities to the generator of their internal rotations (spin), the Inertial SpinModel (ISM) reinstates a second-order temporal dynamics that captures manyphenomenological traits of flocks and swarms. The reversible structure ofthe ISM predicts that the total spin is a constant of motion, the central con-servation law responsible for all the novel dynamical features of the model.However, fluctuations and dissipation introduced in the original model to makeit relax, violate the spin conservation law, so that the ISM aligns with thebiophysical phenomenology only within finite-size regimes, beyond which theoverdamped dynamics characteristic of the Vicsek model takes over. Here, we introduce a novel version of the ISM, in which the irreversible terms neededto relax the dynamics strictly respect the conservation of the spin. We performa numerical investigation of the fully conservative model, exploring both thefixed-network case, which belongs to the equilibrium class of Model G, andthe active case, characterized by self-propulsion of the agents and an out-of-equilibrium reshuffling of the underlying interaction network. Our simulationsnot only capture the correct spin wave phenomenology of the ordered phase,but they also yield dynamical critical exponents in the near-ordering phase thatagree very well with the theoretical predictions.
Fil: Cavagna, Andrea. Università degli Studi di Roma "La Sapienza"; Italia
Fil: Cristín, Javier. Università degli Studi di Roma "La Sapienza"; Italia
Fil: Giardina, Irene. Università di Roma; 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: Veca, Mario. Università degli Studi di Roma "La Sapienza"; Italia
description Experiments on bird flocks and midge swarms reveal that these natural sys-tems are well described by an active theory in which conservation laws playa crucial role. By building a symplectic structure that couples the particles’velocities to the generator of their internal rotations (spin), the Inertial SpinModel (ISM) reinstates a second-order temporal dynamics that captures manyphenomenological traits of flocks and swarms. The reversible structure ofthe ISM predicts that the total spin is a constant of motion, the central con-servation law responsible for all the novel dynamical features of the model.However, fluctuations and dissipation introduced in the original model to makeit relax, violate the spin conservation law, so that the ISM aligns with thebiophysical phenomenology only within finite-size regimes, beyond which theoverdamped dynamics characteristic of the Vicsek model takes over. Here, we introduce a novel version of the ISM, in which the irreversible terms neededto relax the dynamics strictly respect the conservation of the spin. We performa numerical investigation of the fully conservative model, exploring both thefixed-network case, which belongs to the equilibrium class of Model G, andthe active case, characterized by self-propulsion of the agents and an out-of-equilibrium reshuffling of the underlying interaction network. Our simulationsnot only capture the correct spin wave phenomenology of the ordered phase,but they also yield dynamical critical exponents in the near-ordering phase thatagree very well with the theoretical predictions.
publishDate 2024
dc.date.none.fl_str_mv 2024-09
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/11336/273477
Cavagna, Andrea; Cristín, Javier; Giardina, Irene; Grigera, Tomas Sebastian; Veca, Mario; Discrete Laplacian thermostat for flocks and swarms: the fully conserved Inertial Spin Model; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 57; 41; 9-2024; 1-25
1751-8113
CONICET Digital
CONICET
url http://hdl.handle.net/11336/273477
identifier_str_mv Cavagna, Andrea; Cristín, Javier; Giardina, Irene; Grigera, Tomas Sebastian; Veca, Mario; Discrete Laplacian thermostat for flocks and swarms: the fully conserved Inertial Spin Model; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 57; 41; 9-2024; 1-25
1751-8113
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://iopscience.iop.org/article/10.1088/1751-8121/ad7ca0
info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8121/ad7ca0
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 IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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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