Fractal structures of yang–mills fields and non-extensive statistics: Applications to high energy physics

A Deppman, E Megías, DP Menezes - Physics, 2020 - mdpi.com
In this work, we provide an overview of the recent investigations on the non-extensive Tsallis
statistics and its applications to high energy physics and astrophysics, including physics at …

Description of high-energy collisions using Tsallis thermodynamics: Transverse momentum and rapidity distributions

L Marques, J Cleymans, A Deppman - Physical Review D, 2015 - APS
A systematic analysis of transverse momentum and rapidity distributions measured in high-
energy proton-proton (pp) collisions for energies ranging from 53 GeV to 7 TeV using Tsallis …

From QCD-based hard-scattering to nonextensive statistical mechanical descriptions of transverse momentum spectra in high-energy and collisions

CY Wong, G Wilk, LJL Cirto, C Tsallis - Physical Review D, 2015 - APS
Transverse spectra of both jets and hadrons obtained in high-energy pp and pp¯ collisions
at central rapidity exhibit power-law behavior of 1/p T n at high p T. The power index n is 4–5 …

Economics and Finance: q-Statistical Stylized Features Galore

C Tsallis - Entropy, 2017 - mdpi.com
The Boltzmann–Gibbs (BG) entropy and its associated statistical mechanics were
generalized, three decades ago, on the basis of the nonadditive entropy S q (q∈ R), which …

Fractals, nonextensive statistics, and QCD

A Deppman, E Megías, DP Menezes - Physical Review D, 2020 - APS
In this work, we analyze how scaling properties of Yang-Mills field theory manifest as self-
similarity of truncated n-point functions by scale evolution. The presence of such structures …

Thermodynamics with fractal structure, Tsallis statistics, and hadrons

A Deppman - Physical Review D, 2016 - APS
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 …

[HTML][HTML] Comparative study of the heavy-quark dynamics with the Fokker-Planck equation and the Plastino-Plastino equation

E Megías, A Deppman, R Pasechnik, C Tsallis - Physics Letters B, 2023 - Elsevier
Abstract The Fokker-Planck Equation (FPE) is a fundamental tool for the investigation of
kinematic aspects of a wide range of systems. The Plastino-Plastino Equation (PPE) is the …

Fractal structure and non-extensive statistics

A Deppman, T Frederico, E Megías, DP Menezes - Entropy, 2018 - mdpi.com
The role played by non-extensive thermodynamics in physical systems has been under
intense debate for the last decades. With many applications in several areas, the Tsallis …

Quark matter revisited with non-extensive MIT bag model

PHG Cardoso, T Nunes da Silva, A Deppman… - The European Physical …, 2017 - Springer
In this work we revisit the MIT bag model to describe quark matter within both the usual
Fermi-Dirac and the Tsallis statistics. We verify the effects of the non-additivity of the latter by …

Role of dimensionality in complex networks

S Brito, LR Da Silva, C Tsallis - Scientific reports, 2016 - nature.com
Deep connections are known to exist between scale-free networks and non-Gibbsian
statistics. For example, typical degree distributions at the thermodynamical limit are of the …