2018/01/12 by Darío Javier Zamora, J. D. Zamora, M. C. Rocca +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Classical mechanics #Computer science #Dimensional regularization #Fractional Differential Equations Solutions #Gravitation #Mathematical physics #Mathematics #Partition function (quantum field theory) #Physics #Quantum mechanics #Regularization (linguistics) #Statistical Mechanics and Entropy #Statistical mechanics #Statistical physics #Tsallis entropy #Tsallis statistics #cond-mat.stat-mech
paper · pdf · doi:10.1016/j.physa.2018.01.018
published as Physica A, Vol. 497 (2018) 310 · 20 Pages, 2 Figures
openalex publication_date 2018/01/12 · arxiv created 2018/03/06 · arxiv updated 2018/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.