Abstract
It was found in [A. Plastino, M.C. Rocca, Europhys. Lett. 104, 60003 (2013)] 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.
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Rocca, M., Plastino, A. & Ferri, G. Physical peculiarities of divergences emerging in q-deformed statistics. Eur. Phys. J. B 89, 150 (2016). https://doi.org/10.1140/epjb/e2016-70185-4
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DOI: https://doi.org/10.1140/epjb/e2016-70185-4