Eur. Phys. J. B (2016) 89: 150
https://doi.org/10.1140/epjb/e2016-70185-4

Regular Article

Physical peculiarities of divergences emerging in q-deformed statistics

¹ La Plata National University and Argentina’s National Research Council (IFLP-CCT-CONICET)-C.C. 727, 1900 La Plata, Argentina
² Faculty of C. Exactas-National University La Pampa, Peru y Uruguay, Santa Rosa, La Pampa, Argentina

^a e-mail: mariocarlosrocca@gmail.com

Received: 24 March 2016
Received in final form: 9 May 2016
Published online: 13 June 2016

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.