Physical peculiarities of divergences emerging in q-deformed statistics

It was found in [Europhysics Letters 104, (2013), 60003] that classical Tsallis theory exhibits poles in the partition function Z and the mean energy < U >. These occur at a countably set of the q-line. We give here, via a simple procedure, a mathematical account of them. Further, by f...

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Autores principales: Rocca, Mario Carlos, Plastino, Ángel Luis, Ferri, Gustavo Luís
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2016
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132131
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Sumario:It was found in [Europhysics Letters 104, (2013), 60003] that classical Tsallis theory exhibits poles in the partition function Z and the mean energy < U >. These occur at a countably set of the q-line. We give here, via a simple procedure, a mathematical account of them. Further, by focusing attention upon the pole-physics, we encounter interesting effects. In particular, for the specific heat, we uncover hidden gravitational effects