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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/132352
Ver los metadatos del registro completo
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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 |
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SEDICI (UNLP) |
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Universidad Nacional de La Plata |
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UNLP |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
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alira@sedici.unlp.edu.ar |
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score |
13.22299 |