Physical peculiarities of divergences emerging in q-deformed statistics

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 Ƶ and the mean energy . These occur at a countably set of the q-line. We give here, via asimple procedure, a mathematical account of them. Further, by focusing attention upon thepole-physics, we encounter interesting effects. In particular, for the specific heat, weuncover hidden gravitational effects.