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We revisit the issues on the thermodynamic property of stellar self-gravitating system arising from Tsallis' non-extensive entropy. Previous papers (Taruya & Sakagami, Physica A 307 (2002) 185 (cond-mat/0107494); ibid. (2002) in press…

Statistical Mechanics · Physics 2009-11-07 Atsushi Taruya , Masa-aki Sakagami

Charged hadron production in the $e^{+}e^{-}$ annihilations at 91 to 206 GeV in full phase space and in $\overline{p}p$ collisions at 200 to 900~GeV collision energies are studied using non-extensive Tsallis and stochastic Weibull…

High Energy Physics - Phenomenology · Physics 2019-02-20 S. Sharma , M. Kaur , S. Thakur

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

We try to establish a connection between the hadronic distributions, in proton-proton collisions at very high transverse momentum $p_{\mathrm{T}}$, obtained via perturbative QCD and the Tsallis non extensive statistics. Our motivation is…

High Energy Physics - Phenomenology · Physics 2019-01-30 T. Bhattacharyya , J. Cleymans , S. Mogliacci , A. S. Parvan , A. S. Sorin , O. V. Teryaev

Tsallis statistics (or q-statistics) in nonextensive statistical mechanics is a one-parameter description of correlated states. In this paper we use a translated entropic index: $1 - q \to q$ . The essence of this translation is to improve…

Information Theory · Computer Science 2008-11-25 Kenric P. Nelson , Sabir Umarov

By writing total Tsallis entropy as a function of non-extensivity q-parameter withing the fragment-asperity model for earthquakes, a critical range of values is identified: 1.4 <q< 1.8. It comes directly from constructing the non-extensive…

Geophysics · Physics 2025-08-08 Oscar Sotolongo-Costa , Miguel Eduardo Mora-Ramos

Following the basic prescriptions of the Tsallis' nonextensive relativistic thermodynamics, we investigate the relevance of nonextensive statistical effects on the relativistic nuclear and subnuclear equation of state. In this framework, we…

Nuclear Theory · Physics 2015-05-14 A. Lavagno , P. Quarati , A. M. Scarfone

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 statistics has been discussed in details in many works and…

Statistical Mechanics · Physics 2018-10-17 Airton Deppman , Eugenio Megias , Debora P. Menezes , Tobias Frederico

The charged-particle transverse momentum spectra ($p_{\rm T}$-spectra) measured by the ALICE collaboration for $pp$ collisions at $\sqrt {s} =$ 7 and 13 TeV have been studied using a thermodynamically consistent form of Tsallis…

High Energy Physics - Phenomenology · Physics 2024-03-08 Girija Sankar Pradhan , Dushmanta Sahu , Rutuparna Rath , Raghunath Sahoo , Jean Cleymans

We find the value of constants related to constraints in characterization of some known statistical distributions and then we proceed to use the idea behind maximum entropy principle to derive generalized version of this distributions using…

Statistical Mechanics · Physics 2007-05-23 Oscar Sotolongo-Costa , Alejandro Gonzalez Gonzalez , Francois Brouers

In this letter, we study the limit behavior of the evolution of Tsallis entropy in self-gravitating systems. The study is carried out under two different situations, drawing the same conclusion. No matter in the energy transfer process or…

Statistical Mechanics · Physics 2017-10-11 Yahui Zheng , Jiulin Du , Faku Liang

We describe in detail two numerical simulation methods valid to study systems whose thermostatistics is described by generalized entropies, such as Tsallis. The methods are useful for applications to non-trivial interacting systems with a…

Statistical Mechanics · Physics 2009-10-31 R. Salazar , R. Toral

In this study it is shown that the Tsallis q-extended statistical theory was found efficient to describe faithfully the space plasmas statistics in every case, from the planetic magnetospheres, to solar corona and solar dynamics, as well as…

Chaotic Dynamics · Physics 2012-03-20 G. P. Pavlos

The momentum distribution and particle correlation due to the mass difference were studied both in the case of the conventional expectation value and in the case of $q$-expectation value, when the momentum distribution is described by a…

High Energy Physics - Phenomenology · Physics 2017-06-23 Masamichi Ishihara

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

The property of Tsallis entropy is examined when considering tow systems with different temperatures to be in contact with each other and to reach the thermal equilibrium. It is verified that the total Tsallis entropy of the two systems…

Statistical Mechanics · Physics 2015-08-10 Jiulin Du

Quite general, analytical (both exact and approximate) forms for discrete probability distributions (PD's) that maximize Tsallis entropy for a fixed variance are here investigated. They apply, for instance, in a wide variety of scenarios in…

Statistical Mechanics · Physics 2009-11-11 C. Vignat , A. Plastino

The transverse momentum ($p_T$) spectra from heavy-ion collisions at intermediate momenta are described by non-extensive statistical models. Assuming a fixed relative variance of the temperature fluctuating event by event or alternatively a…

High Energy Physics - Phenomenology · Physics 2018-01-17 Keming Shen , Tamas S. Biro , Enke Wang

We derived the expression of the normalized $q$-expectation value based on the density operator to the order $1-q$ with the physical temperature in the Tsallis nonextensive statistics of entropic parameter $q$. With the derived expression…

Statistical Mechanics · Physics 2018-10-11 Masamichi Ishihara

Traditional thermodynamic trade-off relations usually apply to quantities that depend linearly on probability distributions. In contrast, many important information-theoretic measures, such as entropies, are nonlinear and therefore…

Statistical Mechanics · Physics 2026-02-17 Yoshihiko Hasegawa