q-Thermostatistics and the black-body radiation problem

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 abov...

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Detalles Bibliográficos
Autores principales: Martínez, S., Pennini, Flavia, Tessone, Claudio J., Plastino, Ángel Luis
Formato: Articulo
Lenguaje:Inglés
Publicado: 2002
Materias:
Física
q-Thermostatistics
Black-body radiation
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132352
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-132352
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
q-Thermostatistics
Black-body radiation
spellingShingle Física
q-Thermostatistics
Black-body radiation
Martínez, S.
Pennini, Flavia
Tessone, Claudio J.
Plastino, Ángel Luis
q-Thermostatistics and the black-body radiation problem
topic_facet Física
q-Thermostatistics
Black-body radiation
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).
format Articulo
Articulo
author Martínez, S.
Pennini, Flavia
Tessone, Claudio J.
Plastino, Ángel Luis
author_facet Martínez, S.
Pennini, Flavia
Tessone, Claudio J.
Plastino, Ángel Luis
author_sort Martínez, S.
title q-Thermostatistics and the black-body radiation problem
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
publishDate 2002
url http://sedici.unlp.edu.ar/handle/10915/132352
work_keys_str_mv AT martinezs qthermostatisticsandtheblackbodyradiationproblem
AT penniniflavia qthermostatisticsandtheblackbodyradiationproblem
AT tessoneclaudioj qthermostatisticsandtheblackbodyradiationproblem
AT plastinoangelluis qthermostatisticsandtheblackbodyradiationproblem
bdutipo_str Repositorios
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