Dimensional regularization of Renyi’s statistical mechanics
We show that typical Renyi’s statistical mechanics’ quantifiers exhibit poles. We are referring to the partition function Z and the mean energy < U >. Renyi’s entropy is characterized by a real parameter α. The poles emerge in a numerable set of rational numbers belonging to the α-line. Physic...
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Autores principales: | , , |
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Formato: | Articulo Preprint |
Lenguaje: | Inglés |
Publicado: |
2018
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Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/125268 |
Aporte de: |
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I19-R120-10915-125268 |
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record_format |
dspace |
institution |
Universidad Nacional de La Plata |
institution_str |
I-19 |
repository_str |
R-120 |
collection |
SEDICI (UNLP) |
language |
Inglés |
topic |
Ciencias Exactas Física Matemática Renyi entropy Divergences Dimensional regularization Specific heat |
spellingShingle |
Ciencias Exactas Física Matemática Renyi entropy Divergences Dimensional regularization Specific heat Plastino, Ángel Luis Rocca, Mario Carlos Ferri, Gustavo Luis Dimensional regularization of Renyi’s statistical mechanics |
topic_facet |
Ciencias Exactas Física Matemática Renyi entropy Divergences Dimensional regularization Specific heat |
description |
We show that typical Renyi’s statistical mechanics’ quantifiers exhibit poles. We are referring to the partition function Z and the mean energy < U >. Renyi’s entropy is characterized by a real parameter α. The poles emerge in a numerable set of rational numbers belonging to the α-line. Physical effects of these poles are studied by appeal to dimensional regularization, as usual. Interesting effects are found, as for instance, gravitational ones. In particular, negative specific heats. |
format |
Articulo Preprint |
author |
Plastino, Ángel Luis Rocca, Mario Carlos Ferri, Gustavo Luis |
author_facet |
Plastino, Ángel Luis Rocca, Mario Carlos Ferri, Gustavo Luis |
author_sort |
Plastino, Ángel Luis |
title |
Dimensional regularization of Renyi’s statistical mechanics |
title_short |
Dimensional regularization of Renyi’s statistical mechanics |
title_full |
Dimensional regularization of Renyi’s statistical mechanics |
title_fullStr |
Dimensional regularization of Renyi’s statistical mechanics |
title_full_unstemmed |
Dimensional regularization of Renyi’s statistical mechanics |
title_sort |
dimensional regularization of renyi’s statistical mechanics |
publishDate |
2018 |
url |
http://sedici.unlp.edu.ar/handle/10915/125268 |
work_keys_str_mv |
AT plastinoangelluis dimensionalregularizationofrenyisstatisticalmechanics AT roccamariocarlos dimensionalregularizationofrenyisstatisticalmechanics AT ferrigustavoluis dimensionalregularizationofrenyisstatisticalmechanics |
bdutipo_str |
Repositorios |
_version_ |
1764820451469557761 |