Dimensionally regularized Tsallis' Statistical Mechanics and two-body Newton's gravitation

Abstract

Typical Tsallis' statistical mechanics' quantifiers like the partition function and the mean energy exhibit poles. We are speaking of the partition function $\mathcal{Z}$ and the mean energy $<\mathcal{U}>$. The poles appear for distinctive values of Tsallis' characteristic real parameter $q$, at a numerable set of rational numbers of the $q-$line. These poles are dealt with dimensional regularization resources. The physical effects of these poles on the specific heats are studied here for the two-body classical gravitation potential.

arXiv comment20 Pages, 2 Figures

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