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We show that thermodynamic uncertainties (TU) it preserve their form in passing from Boltzmann-Gibbs' statistics to Tsallis' one provided that we express these TU in terms of the appropriate variable conjugate to the temperature in a…

Statistical Mechanics · Physics 2009-11-10 F. Pennini , A. Plastino

Classical and quantum Tsallis distributions have been widely used in many branches of natural and social sciences. But, the quantum field theory of the Tsallis distributions is relatively a less explored arena. In this article we derive the…

High Energy Physics - Phenomenology · Physics 2020-01-07 Mahfuzur Rahaman , Trambak Bhattacharyya , Jan-e Alam

An investigation of black hole thermodynamics based on Tsallis statistical mechanics is explored through the study of the thermodynamics of a gas system located near the horizon of a black hole. In spite of the difficulty in exploring black…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Phuwadon Chunaksorn , Ratchaphat Nakarachinda , Pitayuth Wongjun

The transverse momentum $(p_T)$ spectra of charged particles measured in Au + Au collisions from the beam energy scan (BES) program, Cu + Cu collisions at $\sqrt{s_{NN}}=62.4$, 200 GeV at the RHIC and Pb + Pb, Xe + Xe collisions at the LHC…

High Energy Physics - Phenomenology · Physics 2022-06-27 J. Q. Tao , W. H. Wu , M. Wang , H. Zheng , W. C. Zhang , L. L. Zhu , A. Bonasera

Thermodynamical quantities of the blackbody radiation, such as free energy, entropy, total radiation energy, specific heat are calculated within the Tsallis thermostatistics where factorization method is incorparated. It is shown that basic…

Statistical Mechanics · Physics 2007-05-23 F. Buyukkilic , I. Sokmen , D. Demirhan

The LHC measurements above SPS and Tevatron energies give the opportunity to test predictions of non-extensive thermodynamical picture of hadronic interaction to examine measured transverse momenta distributions for new interaction energy…

High Energy Physics - Phenomenology · Physics 2014-11-21 Tadeusz Wibig

In this article, we investigate the thermodynamic stability of the FRW universe for two examples, Tsallis entropy and loop quantum gravity, by considering non-extensive statistical mechanics. The heat capacity, free energy and pressure of…

General Relativity and Quantum Cosmology · Physics 2022-01-03 Yang Liu

An exact analysis of the N-dimensional blackbody radiation process in a nonextensive \`a la Tsallis scenario is performed for values of the nonextensive's index in the range ($0<q<1$). The recently advanced ``Optimal Lagrange Multipliers"…

Statistical Mechanics · Physics 2007-05-23 S. Martinez , F. Pennini , A. Plastino , C. Tessone

The nonextensive one-dimensional version of a hydrodynamical model for multiparticle production processes is proposed and discussed. It is based on nonextensive statistics assumed in the form proposed by Tsallis and characterized by a…

Nuclear Theory · Physics 2014-11-18 T. Osada , G. Wilk

Energy and momentum of the elementary excitations become independent variables in medium: energy and momentum statistical distributions are not identical. The momentum distribution and not the energy distribution is relevant for barrier…

Nuclear Theory · Physics 2016-11-23 M. Coraddu , M. Lissia , G. Mezzorani , P. Quarati

Probability distributions which emerge from the formalism of nonextensive statistical mechanics have been applied to a variety of problems. In this paper we unite modeling of such distributions with the model of widespread 1/f noise. We…

Statistical Mechanics · Physics 2015-06-03 J. Ruseckas , B. Kaulakys

This paper presents a comprehensive analysis of the double-differential $p_T$ distributions of charged particles in twelve distinct pseudorapidity regions of equal width in $pp$ collisions at center-of-mass energies of 0.9, 2.36, and 7 TeV.…

High Energy Physics - Phenomenology · Physics 2024-10-21 Haifa I. Alrebdi , Muhammad Ajaz , Murad Badshah , Muhammad Waqas , Nourah A. M. Alsaif

The effect of statistics of the quasiparticles in the nuclear matter at extreme conditions of density and temperature is evaluated in the relativistic mean-field model generalized to the framework of the fractional exclusion statistics…

High Energy Physics - Phenomenology · Physics 2015-05-13 Dragos-Victor Anghel , A. S. Parvan , A. S. Khvorostukhin

In this paper, we have analyzed the nonextensive Tsallis statistical mechanics in the light of Verlinde's formalism. We have obtained, with the aid of a noncommutative phase-space entropic gravity, a new bound for Tsallis nonextensive (NE)…

High Energy Physics - Theory · Physics 2015-06-04 Everton M. C. Abreu , Jorge Ananias Neto , Albert C. R. Mendes , Wilson Oliveira

We provide evidence that the small-scale statistics of the acceleration of a test particle in high-Reynolds number Lagrangian turbulence is correctly described by Tsallis statistics with entropic index q=3/2. We present theoretical…

Fluid Dynamics · Physics 2009-11-07 Christian Beck

We present a new framework for modeling the statistical behavior of both fully developed turbulence and short-term dynamics of financial markets based on the nonextensive thermostatistics proposed by Tsallis. We also show that intermittency…

Condensed Matter · Physics 2007-05-23 F. M. Ramos , C. Rodrigues Neto , R. R. Rosa

The generalized zeroth law of thermodynamics indicates that the physical temperature in nonextensive statistical mechanics is different from the inverse of the Lagrange multiplier, beta. This leads to modifications of some of thermodynamic…

Statistical Mechanics · Physics 2009-10-31 Sumiyoshi Abe , S. Martinez , F. Pennini , A. Plastino

For non-equilibrium systems in a steady state we present two necessary and sufficient conditions for the emergence of $q$-canonical ensembles, also known as Tsallis statistics. These conditions are invariance requirements over the…

Statistical Mechanics · Physics 2019-08-23 Sergio Davis , Gonzalo Gutiérrez

In many situations, in all branches of physics, one encounters power-like behavior of some variables which are best described by a Tsallis distribution characterized by a nonextensivity parameter $q$ and scale parameter $T$. However, there…

Statistical Mechanics · Physics 2015-01-16 Grzegorz Wilk , Zbigniew Wlodarczyk

Novel results which reveal phase transition processes in the solar wind plasma during shock events are presented in this study which is the first part of a trilogy concerning the solar wind complexity. Solar wind plasma is a typical case of…