q-Thermostatistics and the black-body radiation problem

Autores
Martínez, S.; Pennini, Flavia; Tessone, Claudio J.; Plastino, Ángel Luis
Año de publicación
2002
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We give an exact information-theory treatment of the n-dimensional black-body radiation process in a non-extensive scenario. We develop a q-generalization of the laws of (i) Stefan–Boltzmann, (ii) Planck, and (iii) Wien, and show that conventional, canonical results are obtained at temperatures above 1 K. Classical relationships between radiation, pressure, and internal energy are recovered (independently of the q value). Analyzing the particles’ density for q ≈ 1, we see that the non-extensive parameter q introduces a 9ctitious chemical potential. We apply our results to experimental data on the cosmic microwave background and reproduce it with acceptable accuracy for di:erent temperatures (each one associated to a particular q value).
Instituto de Física La Plata
Materia
Física
q-Thermostatistics
Black-body radiation
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/132352

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network_name_str SEDICI (UNLP)
spelling q-Thermostatistics and the black-body radiation problemMartínez, S.Pennini, FlaviaTessone, Claudio J.Plastino, Ángel LuisFísicaq-ThermostatisticsBlack-body radiationWe give an exact information-theory treatment of the n-dimensional black-body radiation process in a non-extensive scenario. We develop a q-generalization of the laws of (i) Stefan–Boltzmann, (ii) Planck, and (iii) Wien, and show that conventional, canonical results are obtained at temperatures above 1 K. Classical relationships between radiation, pressure, and internal energy are recovered (independently of the q value). Analyzing the particles’ density for q ≈ 1, we see that the non-extensive parameter q introduces a 9ctitious chemical potential. We apply our results to experimental data on the cosmic microwave background and reproduce it with acceptable accuracy for di:erent temperatures (each one associated to a particular q value).Instituto de Física La Plata2002info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf85-105http://sedici.unlp.edu.ar/handle/10915/132352enginfo:eu-repo/semantics/altIdentifier/issn/0378-4371info:eu-repo/semantics/altIdentifier/arxiv/cond-mat/0201565info:eu-repo/semantics/altIdentifier/doi/10.1016/s0378-4371(02)00621-0info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:23:09Zoai:sedici.unlp.edu.ar:10915/132352Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:23:09.741SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv q-Thermostatistics and the black-body radiation problem
title q-Thermostatistics and the black-body radiation problem
spellingShingle q-Thermostatistics and the black-body radiation problem
Martínez, S.
Física
q-Thermostatistics
Black-body radiation
title_short q-Thermostatistics and the black-body radiation problem
title_full q-Thermostatistics and the black-body radiation problem
title_fullStr q-Thermostatistics and the black-body radiation problem
title_full_unstemmed q-Thermostatistics and the black-body radiation problem
title_sort q-Thermostatistics and the black-body radiation problem
dc.creator.none.fl_str_mv Martínez, S.
Pennini, Flavia
Tessone, Claudio J.
Plastino, Ángel Luis
author Martínez, S.
author_facet Martínez, S.
Pennini, Flavia
Tessone, Claudio J.
Plastino, Ángel Luis
author_role author
author2 Pennini, Flavia
Tessone, Claudio J.
Plastino, Ángel Luis
author2_role author
author
author
dc.subject.none.fl_str_mv Física
q-Thermostatistics
Black-body radiation
topic Física
q-Thermostatistics
Black-body radiation
dc.description.none.fl_txt_mv We give an exact information-theory treatment of the n-dimensional black-body radiation process in a non-extensive scenario. We develop a q-generalization of the laws of (i) Stefan–Boltzmann, (ii) Planck, and (iii) Wien, and show that conventional, canonical results are obtained at temperatures above 1 K. Classical relationships between radiation, pressure, and internal energy are recovered (independently of the q value). Analyzing the particles’ density for q ≈ 1, we see that the non-extensive parameter q introduces a 9ctitious chemical potential. We apply our results to experimental data on the cosmic microwave background and reproduce it with acceptable accuracy for di:erent temperatures (each one associated to a particular q value).
Instituto de Física La Plata
description We give an exact information-theory treatment of the n-dimensional black-body radiation process in a non-extensive scenario. We develop a q-generalization of the laws of (i) Stefan–Boltzmann, (ii) Planck, and (iii) Wien, and show that conventional, canonical results are obtained at temperatures above 1 K. Classical relationships between radiation, pressure, and internal energy are recovered (independently of the q value). Analyzing the particles’ density for q ≈ 1, we see that the non-extensive parameter q introduces a 9ctitious chemical potential. We apply our results to experimental data on the cosmic microwave background and reproduce it with acceptable accuracy for di:erent temperatures (each one associated to a particular q value).
publishDate 2002
dc.date.none.fl_str_mv 2002
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/132352
url http://sedici.unlp.edu.ar/handle/10915/132352
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0378-4371
info:eu-repo/semantics/altIdentifier/arxiv/cond-mat/0201565
info:eu-repo/semantics/altIdentifier/doi/10.1016/s0378-4371(02)00621-0
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
85-105
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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