Chaotic Diffusion in a Triaxial Galactic Model: An Example of Global Stable Chaos

Autores
Cincotta, Pablo Miguel; Giordano, Claudia Marcela
Año de publicación
2024
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work we focus on the chaotic diffusion in the phase space of a triaxial potentialresembling an elliptical galaxy. The transport process is studied in two different action-likestarting spaces in order to cope with circulating and noncirculating orbits. Estimates of thediffusion rate obtained by means of the variance approach are discussed in detail and theirlimitations are exposed. After revisiting the Shannon-entropy-based method from a conceptualpoint of view in the framework of simple arguments taken from the information theory, we applyit to measure changes in the unperturbed actions or integrals of motion of the system for differentsets of small ensembles of random initial conditions. For such sets of ensembles, estimates of theLyapunov times are also provided. The results show that, within the chaotic component of thephase space, the Lyapunov times are shorter than any physical time scale as the Hubble time,but the diffusion times are much larger than the latter. Thus, we conclude that stable chaosdominates the dynamics of realistic galactic models.
Fil: Cincotta, Pablo Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina
Fil: Giordano, Claudia Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina
Materia
INSTABILITES
CHAOS
DIFFUSION
GALACTIC DYNAMICS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/246237
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Chaotic Diffusion in a Triaxial Galactic Model: An Example of Global Stable ChaosCincotta, Pablo MiguelGiordano, Claudia MarcelaINSTABILITESCHAOSDIFFUSIONGALACTIC DYNAMICShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In this work we focus on the chaotic diffusion in the phase space of a triaxial potentialresembling an elliptical galaxy. The transport process is studied in two different action-likestarting spaces in order to cope with circulating and noncirculating orbits. Estimates of thediffusion rate obtained by means of the variance approach are discussed in detail and theirlimitations are exposed. After revisiting the Shannon-entropy-based method from a conceptualpoint of view in the framework of simple arguments taken from the information theory, we applyit to measure changes in the unperturbed actions or integrals of motion of the system for differentsets of small ensembles of random initial conditions. For such sets of ensembles, estimates of theLyapunov times are also provided. The results show that, within the chaotic component of thephase space, the Lyapunov times are shorter than any physical time scale as the Hubble time,but the diffusion times are much larger than the latter. Thus, we conclude that stable chaosdominates the dynamics of realistic galactic models.Fil: Cincotta, Pablo Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; ArgentinaFil: Giordano, Claudia Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; ArgentinaRussian Academy of Sciences. Steklov Mathematical Institute2024-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/246237Cincotta, Pablo Miguel; Giordano, Claudia Marcela; Chaotic Diffusion in a Triaxial Galactic Model: An Example of Global Stable Chaos; Russian Academy of Sciences. Steklov Mathematical Institute; Nelineinaya Dinamika; 8-2024; 1-212658-53242658-5316CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://nd.ics.org.ru/nd240801/info:eu-repo/semantics/altIdentifier/doi/10.20537/nd240801info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:18:33Zoai:ri.conicet.gov.ar:11336/246237instacron: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:34982025-09-10 13:18:33.645CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Chaotic Diffusion in a Triaxial Galactic Model: An Example of Global Stable Chaos
title Chaotic Diffusion in a Triaxial Galactic Model: An Example of Global Stable Chaos
spellingShingle Chaotic Diffusion in a Triaxial Galactic Model: An Example of Global Stable Chaos
Cincotta, Pablo Miguel
INSTABILITES
CHAOS
DIFFUSION
GALACTIC DYNAMICS
title_short Chaotic Diffusion in a Triaxial Galactic Model: An Example of Global Stable Chaos
title_full Chaotic Diffusion in a Triaxial Galactic Model: An Example of Global Stable Chaos
title_fullStr Chaotic Diffusion in a Triaxial Galactic Model: An Example of Global Stable Chaos
title_full_unstemmed Chaotic Diffusion in a Triaxial Galactic Model: An Example of Global Stable Chaos
title_sort Chaotic Diffusion in a Triaxial Galactic Model: An Example of Global Stable Chaos
dc.creator.none.fl_str_mv Cincotta, Pablo Miguel
Giordano, Claudia Marcela
author Cincotta, Pablo Miguel
author_facet Cincotta, Pablo Miguel
Giordano, Claudia Marcela
author_role author
author2 Giordano, Claudia Marcela
author2_role author
dc.subject.none.fl_str_mv INSTABILITES
CHAOS
DIFFUSION
GALACTIC DYNAMICS
topic INSTABILITES
CHAOS
DIFFUSION
GALACTIC DYNAMICS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this work we focus on the chaotic diffusion in the phase space of a triaxial potentialresembling an elliptical galaxy. The transport process is studied in two different action-likestarting spaces in order to cope with circulating and noncirculating orbits. Estimates of thediffusion rate obtained by means of the variance approach are discussed in detail and theirlimitations are exposed. After revisiting the Shannon-entropy-based method from a conceptualpoint of view in the framework of simple arguments taken from the information theory, we applyit to measure changes in the unperturbed actions or integrals of motion of the system for differentsets of small ensembles of random initial conditions. For such sets of ensembles, estimates of theLyapunov times are also provided. The results show that, within the chaotic component of thephase space, the Lyapunov times are shorter than any physical time scale as the Hubble time,but the diffusion times are much larger than the latter. Thus, we conclude that stable chaosdominates the dynamics of realistic galactic models.
Fil: Cincotta, Pablo Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina
Fil: Giordano, Claudia Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina
description In this work we focus on the chaotic diffusion in the phase space of a triaxial potentialresembling an elliptical galaxy. The transport process is studied in two different action-likestarting spaces in order to cope with circulating and noncirculating orbits. Estimates of thediffusion rate obtained by means of the variance approach are discussed in detail and theirlimitations are exposed. After revisiting the Shannon-entropy-based method from a conceptualpoint of view in the framework of simple arguments taken from the information theory, we applyit to measure changes in the unperturbed actions or integrals of motion of the system for differentsets of small ensembles of random initial conditions. For such sets of ensembles, estimates of theLyapunov times are also provided. The results show that, within the chaotic component of thephase space, the Lyapunov times are shorter than any physical time scale as the Hubble time,but the diffusion times are much larger than the latter. Thus, we conclude that stable chaosdominates the dynamics of realistic galactic models.
publishDate 2024
dc.date.none.fl_str_mv 2024-08
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/11336/246237
Cincotta, Pablo Miguel; Giordano, Claudia Marcela; Chaotic Diffusion in a Triaxial Galactic Model: An Example of Global Stable Chaos; Russian Academy of Sciences. Steklov Mathematical Institute; Nelineinaya Dinamika; 8-2024; 1-21
2658-5324
2658-5316
CONICET Digital
CONICET
url http://hdl.handle.net/11336/246237
identifier_str_mv Cincotta, Pablo Miguel; Giordano, Claudia Marcela; Chaotic Diffusion in a Triaxial Galactic Model: An Example of Global Stable Chaos; Russian Academy of Sciences. Steklov Mathematical Institute; Nelineinaya Dinamika; 8-2024; 1-21
2658-5324
2658-5316
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://nd.ics.org.ru/nd240801/
info:eu-repo/semantics/altIdentifier/doi/10.20537/nd240801
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Russian Academy of Sciences. Steklov Mathematical Institute
publisher.none.fl_str_mv Russian Academy of Sciences. Steklov Mathematical Institute
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 12.993085

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