Hyperbolic theory of relativistic conformal dissipative fluids

Autores
Lehner, Luis; Reula, Oscar Alejandro; Rubio, Marcelo Enrique
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We develop a complete description of the class of conformal relativistic dissipative fluids of divergence form, following the formalism described in [1] and [2]. This type of theories is fully described in terms of evolution variables whose dynamics is governed by total divergencetype conservation laws. Specifically, we give a characterization of the whole family of conformal fluids in terms of a single master scalar function defined up to second order corrections in dissipative effects, which we explicitly find in general form. This allows us to identify the equilibrium states of the theory, as well as to derive constitutive relations and a Fourier-like law for the corresponding first-order theory heat flux. Finally, we show that among this class of theories– and near equilibrium configurations– there exist symmetric hyperbolic ones, implying that for them one can define well posed initial value problems.
Fil: Lehner, Luis. Perimeter Institute for Theoretical Physics; Canadá
Fil: Reula, Oscar Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Rubio, Marcelo Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Materia
FLUIDS
HYPERBOLICITY
RELATIVITY
THERMODYNAMICS
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:11336/91677
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Hyperbolic theory of relativistic conformal dissipative fluidsLehner, LuisReula, Oscar AlejandroRubio, Marcelo EnriqueFLUIDSHYPERBOLICITYRELATIVITYTHERMODYNAMICShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We develop a complete description of the class of conformal relativistic dissipative fluids of divergence form, following the formalism described in [1] and [2]. This type of theories is fully described in terms of evolution variables whose dynamics is governed by total divergencetype conservation laws. Specifically, we give a characterization of the whole family of conformal fluids in terms of a single master scalar function defined up to second order corrections in dissipative effects, which we explicitly find in general form. This allows us to identify the equilibrium states of the theory, as well as to derive constitutive relations and a Fourier-like law for the corresponding first-order theory heat flux. Finally, we show that among this class of theories– and near equilibrium configurations– there exist symmetric hyperbolic ones, implying that for them one can define well posed initial value problems.Fil: Lehner, Luis. Perimeter Institute for Theoretical Physics; CanadáFil: Reula, Oscar Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Rubio, Marcelo Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaAmerican Physical Society2018-01-09info: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/11336/91677Lehner, Luis; Reula, Oscar Alejandro; Rubio, Marcelo Enrique; Hyperbolic theory of relativistic conformal dissipative fluids; American Physical Society; Physical Review D; 97; 2; 9-1-2018; 1-482470-00102470-0029CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevD.97.024013info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.97.024013info:eu-repo/semantics/altIdentifier/url/arxiv.org/abs/1710.08033info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:02:43Zoai:ri.conicet.gov.ar:11336/91677instacron: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:34982025-10-15 15:02:43.674CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Hyperbolic theory of relativistic conformal dissipative fluids
title Hyperbolic theory of relativistic conformal dissipative fluids
spellingShingle Hyperbolic theory of relativistic conformal dissipative fluids
Lehner, Luis
FLUIDS
HYPERBOLICITY
RELATIVITY
THERMODYNAMICS
title_short Hyperbolic theory of relativistic conformal dissipative fluids
title_full Hyperbolic theory of relativistic conformal dissipative fluids
title_fullStr Hyperbolic theory of relativistic conformal dissipative fluids
title_full_unstemmed Hyperbolic theory of relativistic conformal dissipative fluids
title_sort Hyperbolic theory of relativistic conformal dissipative fluids
dc.creator.none.fl_str_mv Lehner, Luis
Reula, Oscar Alejandro
Rubio, Marcelo Enrique
author Lehner, Luis
author_facet Lehner, Luis
Reula, Oscar Alejandro
Rubio, Marcelo Enrique
author_role author
author2 Reula, Oscar Alejandro
Rubio, Marcelo Enrique
author2_role author
author
dc.subject.none.fl_str_mv FLUIDS
HYPERBOLICITY
RELATIVITY
THERMODYNAMICS
topic FLUIDS
HYPERBOLICITY
RELATIVITY
THERMODYNAMICS
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 develop a complete description of the class of conformal relativistic dissipative fluids of divergence form, following the formalism described in [1] and [2]. This type of theories is fully described in terms of evolution variables whose dynamics is governed by total divergencetype conservation laws. Specifically, we give a characterization of the whole family of conformal fluids in terms of a single master scalar function defined up to second order corrections in dissipative effects, which we explicitly find in general form. This allows us to identify the equilibrium states of the theory, as well as to derive constitutive relations and a Fourier-like law for the corresponding first-order theory heat flux. Finally, we show that among this class of theories– and near equilibrium configurations– there exist symmetric hyperbolic ones, implying that for them one can define well posed initial value problems.
Fil: Lehner, Luis. Perimeter Institute for Theoretical Physics; Canadá
Fil: Reula, Oscar Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Rubio, Marcelo Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
description We develop a complete description of the class of conformal relativistic dissipative fluids of divergence form, following the formalism described in [1] and [2]. This type of theories is fully described in terms of evolution variables whose dynamics is governed by total divergencetype conservation laws. Specifically, we give a characterization of the whole family of conformal fluids in terms of a single master scalar function defined up to second order corrections in dissipative effects, which we explicitly find in general form. This allows us to identify the equilibrium states of the theory, as well as to derive constitutive relations and a Fourier-like law for the corresponding first-order theory heat flux. Finally, we show that among this class of theories– and near equilibrium configurations– there exist symmetric hyperbolic ones, implying that for them one can define well posed initial value problems.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-09
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/11336/91677
Lehner, Luis; Reula, Oscar Alejandro; Rubio, Marcelo Enrique; Hyperbolic theory of relativistic conformal dissipative fluids; American Physical Society; Physical Review D; 97; 2; 9-1-2018; 1-48
2470-0010
2470-0029
CONICET Digital
CONICET
url http://hdl.handle.net/11336/91677
identifier_str_mv Lehner, Luis; Reula, Oscar Alejandro; Rubio, Marcelo Enrique; Hyperbolic theory of relativistic conformal dissipative fluids; American Physical Society; Physical Review D; 97; 2; 9-1-2018; 1-48
2470-0010
2470-0029
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/PhysRevD.97.024013
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.97.024013
info:eu-repo/semantics/altIdentifier/url/arxiv.org/abs/1710.08033
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
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 13.22299

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