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arXiv · 1404.0418

Physical peculiarities of divergences emerging in q-deformed statistics

M. C. Rocca·A. Plastino·G. L. Ferri
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Abstract

It was found in [Europhysics Letters {\bf 104}, (2013), 60003] that classical Tsallis theory exhibits poles in the partition function ${\cal Z}$ and the mean energy $<{\cal U}>$. 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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M. C. Rocca, A. Plastino, G. L. Ferri. 2014-04-01. Physical peculiarities of divergences emerging in q-deformed statistics. https://doi.org/10.1140/epjb/e2016-70185-4

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