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arXiv · 1803.08125

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

J. D. Zamora·M. C. Rocca·A. Plastino·G. L. Ferri
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Abstract

Typical Tsallis' statistical mechanics' quantifiers like the partition function and the mean energy exhibit poles. We are speaking of the partition function ${\cal Z}$ and the mean energy $<{\cal U}>$. 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.

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J. D. Zamora, M. C. Rocca, A. Plastino, G. L. Ferri. 2018-03-06. Dimensionally regularized Tsallis' Statistical Mechanics and two-body Newton's gravitation. https://doi.org/10.1016/j.physa.2018.01.018

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