Dimensionally regularized Tsallis’ statistical mechanics and two-body Newton’s gravitation

J.D. Zamora, M.C. Rocca, A. Plastino and G.L. Ferri

Physica A: Statistical Mechanics and its Applications, 2018, vol. 497, issue C, 310-318

Abstract: Typical Tsallis’ statistical mechanics’ quantifiers like the partition function and the mean energy exhibit poles. We are speaking of the partition function Z and the mean energy 〈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.

Keywords: Tsallis entropy; Divergences; Dimensional regularization; Specific heat (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:497:y:2018:i:c:p:310-318

DOI: 10.1016/j.physa.2018.01.018

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