Possible divergences in Tsallis' thermostatistics

Trying to compute the nonextensive q-partition function for the Harmonic Oscillator in more than two dimensions, one encounters that it diverges, which poses a serious threat to Tsallis’ thermostatistics. Appeal to the so called q-Laplace Transform, where the q-exponential function plays the role of...

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Autores principales: Plastino, Ángel Luis, Rocca, Mario Carlos
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2014
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/101870
https://ri.conicet.gov.ar/11336/23716
http://iopscience.iop.org/article/10.1209/0295-5075/104/60003
https://arxiv.org/abs/1309.5645
Aporte de:
id I19-R120-10915-101870
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Tsallis thermostatistics
Harmonic oscillator
Q-Laplace transform
spellingShingle Física
Tsallis thermostatistics
Harmonic oscillator
Q-Laplace transform
Plastino, Ángel Luis
Rocca, Mario Carlos
Possible divergences in Tsallis' thermostatistics
topic_facet Física
Tsallis thermostatistics
Harmonic oscillator
Q-Laplace transform
description Trying to compute the nonextensive q-partition function for the Harmonic Oscillator in more than two dimensions, one encounters that it diverges, which poses a serious threat to Tsallis’ thermostatistics. Appeal to the so called q-Laplace Transform, where the q-exponential function plays the role of the ordinary exponential, is seen to save the day.
format Articulo
Preprint
author Plastino, Ángel Luis
Rocca, Mario Carlos
author_facet Plastino, Ángel Luis
Rocca, Mario Carlos
author_sort Plastino, Ángel Luis
title Possible divergences in Tsallis' thermostatistics
title_short Possible divergences in Tsallis' thermostatistics
title_full Possible divergences in Tsallis' thermostatistics
title_fullStr Possible divergences in Tsallis' thermostatistics
title_full_unstemmed Possible divergences in Tsallis' thermostatistics
title_sort possible divergences in tsallis' thermostatistics
publishDate 2014
url http://sedici.unlp.edu.ar/handle/10915/101870
https://ri.conicet.gov.ar/11336/23716
http://iopscience.iop.org/article/10.1209/0295-5075/104/60003
https://arxiv.org/abs/1309.5645
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