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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Detalles Bibliográficos
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
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Sumario: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.