The Boltzmann–Gibbs (BG) statistical mechanics constitutes one of the pillars of
contemporary theoretical physics. It is constructed upon the other pillars—classical …

The pillars of contemporary theoretical physics are classical mechanics, Maxwell
electromagnetism, relativity, quantum mechanics, and Boltzmann–Gibbs (BG) statistical …

Definition The concept of entropy constitutes, together with energy, a cornerstone of
contemporary physics and related areas. It was originally introduced by Clausius in 1865 …

In this Letter, we show that the Shore-Johnson axioms for the maximum entropy principle in
statistical estimation theory account for a considerably wider class of entropic functional than …

In this work, we study the formal connections between the non-linear Fokker-Planck
Equation associated with the non-additive entropy and the Boltzmann Equation with the non …

Recently, it has been found that, with the Rényi statistics, the asymptotically flat
Schwarzschild black hole can be in thermal equilibrium with infinite heat reservoir at a fixed …

We compare two types of Tsallis distribution, that is, with and without thermodynamical
description, using the experimental data from the STAR, PHENIX, ALICE, and CMS …

A system presenting fractal structure in its thermodynamical functions is introduced, and it is
shown that Tsallis statistics is the correct framework for describing the thermodynamical …

Science and its evolution are based on complex epistemological structures. Two of the
pillars of such a construction definitively are enthusiasm and skepticism, both being …

The analysis of high-energy particle collisions is an excellent testbed for the non-extensive
statistical approach. In these reactions we are far from the thermodynamical limit. In small …