Analysis of Tsallis’ classical partition function’s poles

When one integrates the q-exponential function of Tsallis’ so as to get the partition function Z, a gamma function inevitably emerges. Consequently, poles arise.Weinvestigate here the thermodynamic significance of these poles in the case of n classical harmonic oscillators (HO). Given that this is a...

Descripción completa

Detalles Bibliográficos
Autores principales: Plastino, Ángel Luis, Rocca, Mario Carlos
Formato: Articulo
Lenguaje:Inglés
Publicado: 2017
Materias:
Física
q-Statistics
Divergences
Partition function
Dimensional regularization
Specific heat
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/117249
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-117249
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-Statistics
Divergences
Partition function
Dimensional regularization
Specific heat
spellingShingle Física
q-Statistics
Divergences
Partition function
Dimensional regularization
Specific heat
Plastino, Ángel Luis
Rocca, Mario Carlos
Analysis of Tsallis’ classical partition function’s poles
topic_facet Física
q-Statistics
Divergences
Partition function
Dimensional regularization
Specific heat
description When one integrates the q-exponential function of Tsallis’ so as to get the partition function Z, a gamma function inevitably emerges. Consequently, poles arise.Weinvestigate here the thermodynamic significance of these poles in the case of n classical harmonic oscillators (HO). Given that this is an exceedingly well known system, any new feature that may arise can safely be attributed to the poles’ effect. We appeal to the mathematical tools used in Plastino et al. (2016) and Plastino and Rocca (2017), and obtain both bound and unbound states. In the first case, we are then faced with a classical Einstein crystal. We also detect what might be interpreted as pseudo gravitational effects.
format Articulo
Articulo
author Plastino, Ángel Luis
Rocca, Mario Carlos
author_facet Plastino, Ángel Luis
Rocca, Mario Carlos
author_sort Plastino, Ángel Luis
title Analysis of Tsallis’ classical partition function’s poles
title_short Analysis of Tsallis’ classical partition function’s poles
title_full Analysis of Tsallis’ classical partition function’s poles
title_fullStr Analysis of Tsallis’ classical partition function’s poles
title_full_unstemmed Analysis of Tsallis’ classical partition function’s poles
title_sort analysis of tsallis’ classical partition function’s poles
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/117249
work_keys_str_mv AT plastinoangelluis analysisoftsallisclassicalpartitionfunctionspoles
AT roccamariocarlos analysisoftsallisclassicalpartitionfunctionspoles
bdutipo_str Repositorios
_version_ 1764820447123210243

Ejemplares similares