Analysis of Tsallis’ classical partition function’s poles
- Autores
- Plastino, Ángel Luis; Rocca, Mario Carlos
- Año de publicación
- 2017
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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.
Instituto de Física La Plata - Materia
-
Física
q-Statistics
Divergences
Partition function
Dimensional regularization
Specific heat - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/117249
Ver los metadatos del registro completo
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Analysis of Tsallis’ classical partition function’s polesPlastino, Ángel LuisRocca, Mario CarlosFísicaq-StatisticsDivergencesPartition functionDimensional regularizationSpecific heatWhen 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.Instituto de Física La Plata2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf196-204http://sedici.unlp.edu.ar/handle/10915/117249enginfo:eu-repo/semantics/altIdentifier/issn/0378-4371info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2017.06.026info: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:UNLP2025-09-29T11:27:34Zoai:sedici.unlp.edu.ar:10915/117249Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:27:35.094SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Analysis of Tsallis’ classical partition function’s poles |
| title |
Analysis of Tsallis’ classical partition function’s poles |
| spellingShingle |
Analysis of Tsallis’ classical partition function’s poles Plastino, Ángel Luis Física q-Statistics Divergences Partition function Dimensional regularization Specific heat |
| 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 |
| dc.creator.none.fl_str_mv |
Plastino, Ángel Luis Rocca, Mario Carlos |
| author |
Plastino, Ángel Luis |
| author_facet |
Plastino, Ángel Luis Rocca, Mario Carlos |
| author_role |
author |
| author2 |
Rocca, Mario Carlos |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Física q-Statistics Divergences Partition function Dimensional regularization Specific heat |
| topic |
Física q-Statistics Divergences Partition function Dimensional regularization Specific heat |
| dc.description.none.fl_txt_mv |
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. Instituto de Física La Plata |
| 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. |
| publishDate |
2017 |
| dc.date.none.fl_str_mv |
2017 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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http://sedici.unlp.edu.ar/handle/10915/117249 |
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eng |
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eng |
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info:eu-repo/semantics/altIdentifier/issn/0378-4371 info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2017.06.026 |
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