Dimensional regularization of Renyi's statistical mechanics

A Plastino, MC Rocca, GL Ferri - Physica A: Statistical Mechanics and its …, 2018 - Elsevier
We show that typical Renyi's statistical mechanics' quantifiers exhibit poles. We are referring
to the partition function Z and the mean energy< U>. Renyi's entropy is characterized by a …

Verlinde's emergent gravity in an n-dimensional, non-additive Tsallis' scenario

DJ Zamora, MC Rocca, A Plastino, GL Ferri - Physica A: Statistical …, 2018 - Elsevier
This paper brings together four distinct but very important physical notions:(1) Entropic
force,(2) Entropy-along-a-curve,(3) Tsallis'q-statistics, and (4) Emergent gravitation. We …

[PDF][PDF] Doctorate Thesis Nonextensivity in Physics: non linear quantum equations and statistical mechanics of gravitation

DJ Zamora - 2020 - researchgate.net
“Ludwig Boltzmann, who spent much of his life studying statistical mechanics, died in 1906,
by his own hand. Paul Ehrenfest, carrying on the work, died similarly in 1933. Now it is our …

Verlinde's emergent gravity in an dimensional, non-additive Tsallis' scenario

DJ Zamora, MC Rocca, A Plastino, GL Ferri - arXiv preprint arXiv …, 2017 - arxiv.org
This paper brings together four distinct but very important physical notions: 1) Entropic force,
2) Entropy-along-a-curve, 3) Tsallis'q-statistics, and 4) Emergent gravitation. We investigate …

[PDF][PDF] Effects of the q-entropic force in n-dimensions

DJZMC Rocca, A Plastino, GL Ferri - 2017 - researchgate.net
This work investigates the non aditive, classical q-statistical mechanics (Tsallis statistical) of
a phase-space curve in n dimensions and, in particular, in 3 dimensions. We focus attention …

[PDF][PDF] Verlinde's emergent gravity in an n− dimensional, non-additive Tsallis' scenario

DJZMC Rocca, A Plastino, GL Ferri - arXiv preprint arXiv:1711.03866, 2017 - arxiv.org
This paper brings together four distinct but very important physical notions: 1) Entropic force,
2) Entropy-along-a-curve, 3) Tsallis'q-statistics, and 4) Emergent gravitation. We investigate …