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Nonextensive quantum gas distributions are investigated on the basis of the factorization hypothesis of compound probability required by thermodynamic equilibrium. It is shown that the formalisms of Tsallis nonextensive statistical…

Statistical Mechanics · Physics 2015-06-24 Qiuping A. 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

The nonextensivity in a non-isothermal plasma system with the Coulombian long-range interactions is studied in the framework of Tsallis statistics. We present for first time a mathematical expression of the nonextensive parameter q based on…

Statistical Mechanics · Physics 2015-08-10 Jiulin Du

It is shown that the transverse momentum distributions of particles emerging from the decay of statistical clusters, distributed according to a power law in their transverse energy, closely resembles that following from the Tsallis…

High Energy Physics - Phenomenology · Physics 2015-06-02 A. Bialas

A nonextensive thermostatic approach to chaotic dynamical systems is developed by expressing generalized Tsallis distribution as escort distribution. We explicitly show the thermodynamic limit and also derive the Legendre Transform…

Statistical Mechanics · Physics 2009-10-31 Ramandeep S. Johal , Renuka Rai

The multiplicity distribution of particles in relativistic gases is studied in terms of Tsallis' nonextensive statistics. For an entropic index q>1 the multiplicity distribution is wider than the Poisson distribution with the same average…

Statistical Mechanics · Physics 2007-05-23 C. E. Aguiar , T. Kodama

We review transverse momentum distributions of various identified charged particles stemming from high energy collisions fitted by various non-extensive distributions as well as by the usual Boltzmann-Gibbs statistics. We investigate the…

High Energy Physics - Phenomenology · Physics 2019-08-14 Keming Shen , Gergely Gábor Barnaföldi , Tamás Sándor Biró

We provide an overview of Tsallis statistics, presented as a special case of superstatistics and applied to the multiparticle processes described by the statistical cluster model. This model combines Boltzman statistics applied to…

High Energy Physics - Phenomenology · Physics 2015-10-23 Grzegorz Wilk , Zbigniew Wlodarczyk

The paper introduces nonadditivity parameter transformation group induced by Tsallis entropy. We discuss simple physical applications of a system in the contact with finite heat bath or with temperature fluctuations. With help of the…

Mathematical Physics · Physics 2017-11-13 Jan Korbel

The energy distribution and the energy fluctuation in the Tsallis canonical ensemble are studied with the OLM formalism but following a new way. The resulting formula for the energy fluctuation is not the same as that in previous work [Liu…

Statistical Mechanics · Physics 2015-08-10 Ran Guo , Jiulin Du

We studied the thermodynamic quantities and the probability distribution, expressing the probability distribution as a function of the energy, in the canonical ensemble within the framework of the Tsallis statistics, which is characterized…

Statistical Mechanics · Physics 2025-12-16 Masamichi Ishihara

The nuclear modification factor is derived using Tsallis non-extensive statistics in relaxation time approximation. The variation of nuclear modification factor with transverse momentum for different values of non-extensive parameter, $q$,…

We demonstrate that description of fluctuations observed in multiparticle production processes using Tsallis statistics approach (in which fluctuations are described by the nonextensivity parameter q) leads to a specific sum rule for…

High Energy Physics - Phenomenology · Physics 2011-06-09 Grzegorz Wilk , Zbigniew Wlodarczyk , Wojciech Wolak

The Tsallis entropy, which is a generalization of the Boltzmann-Gibbs entropy, plays a central role in nonextensive statistical mechanics of complex systems. A lot of efforts have recently been made on establishing a dynamical foundation…

Statistical Mechanics · Physics 2009-11-11 Sumiyoshi Abe , Yutaka Nakada

The parametric resonance was studied in chiral phase transitions when the momentum distribution is described by a Tsallis distribution. A Tsallis distribution has two parameters, the temperature $T$ and the entropic index $q$. The…

High Energy Physics - Phenomenology · Physics 2017-05-23 Masamichi Ishihara

We review from the point of view of nonextensive statistics the ubiquitous presence in elementary and heavy-ion collisions of power-law distributions. Special emphasis is placed on the conjecture that this is just a reflection of some…

High Energy Physics - Phenomenology · Physics 2015-05-13 Grzegorz Wilk , Zbigniew Wlodarczyk

We investigate how the non-extensive approach works in high-energy physics. Transverse momentum ($p_T$) spectra of several hadrons are fitted by various non-extensive momentum distributions and by the Boltzmann--Gibbs statistics.~It is…

High Energy Physics - Phenomenology · Physics 2019-05-23 Keming Shen , Gergely Gábor Barnaföldi , Tamás Sándor Biró

In high-energy collisions the number of the created particles is far less than the thermodynamic limit, especially in small colliding systems (e.g. proton-proton). Therefore final-state effects and fluctuations in the one-particle energy…

High Energy Physics - Phenomenology · Physics 2017-06-28 Gábor Bíró , Gergely Gábor Barnaföldi , Tamás Sándor Biró , Károly Ürmössy

The transverse momentum distributions of charged particles in p-Pb collisions as sqrt{s_{NN}} = 5.02 TeV measured by the ALICE collaboration are fitted using Tsallis statistics. The use of a thermodynamically consistent form of this…

High Energy Physics - Phenomenology · Physics 2013-11-14 M. D. Azmi , J. Cleymans

Recently the inclusive transverse momentum distributions of primary charged particles were measured for different centralities in $Pb+Pb$ collisions. A strong suppression of the nuclear modification factor in central collisions around $p_T…

High Energy Physics - Phenomenology · Physics 2015-04-03 Maciej Rybczynski , Grzegorz Wilk , Zbigniew Wlodarczyk