Exact and approximate results of non-extensive quantum statistics

We develop an analytical technique to derive explicit forms of thermodynamical quantities within the asymptotic approach to non-extensive quantum distribution functions. Using it, we find an expression for the number of particles in a boson system which we compare with other approximate scheme (i.e....

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Tirnakli, Ugur, Torres, Diego F.
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2000
Materias:
Física
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132504
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-132504
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
spellingShingle Física
Tirnakli, Ugur
Torres, Diego F.
Exact and approximate results of non-extensive quantum statistics
topic_facet Física
description We develop an analytical technique to derive explicit forms of thermodynamical quantities within the asymptotic approach to non-extensive quantum distribution functions. Using it, we find an expression for the number of particles in a boson system which we compare with other approximate scheme (i.e. factorization approach), and with the recently obtained exact result. To do this, we investigate the predictions on Bose-Einstein condensation and the blackbody radiation. We find that both approximation techniques give results similar to (up to O(q − 1)) the exact ones, making them a useful tool for computations. Because of the simplicity of the factorization approach formulae, it appears that this is the easiest way to handle with physical systems which might exhibit slight deviations from extensivity.
format Articulo
Preprint
author Tirnakli, Ugur
Torres, Diego F.
author_facet Tirnakli, Ugur
Torres, Diego F.
author_sort Tirnakli, Ugur
title Exact and approximate results of non-extensive quantum statistics
title_short Exact and approximate results of non-extensive quantum statistics
title_full Exact and approximate results of non-extensive quantum statistics
title_fullStr Exact and approximate results of non-extensive quantum statistics
title_full_unstemmed Exact and approximate results of non-extensive quantum statistics
title_sort exact and approximate results of non-extensive quantum statistics
publishDate 2000
url http://sedici.unlp.edu.ar/handle/10915/132504
work_keys_str_mv AT tirnakliugur exactandapproximateresultsofnonextensivequantumstatistics
AT torresdiegof exactandapproximateresultsofnonextensivequantumstatistics
bdutipo_str Repositorios
_version_ 1764820454020743168

Ejemplares similares