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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 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 colliding systems, such as electron-positron or…

High Energy Physics - Phenomenology · Physics 2017-02-27 Gábor Bíró , Gergely Gábor Barnaföldi , Tamás Sándor Biró , Károly Ürmössy , Ádám Takács

We provide an update of the overview of imprints of Tsallis nonextensive statistics seen in a multiparticle production processes. They reveal an ubiquitous presence of power law distributions of different variables characterized by the…

High Energy Physics - Phenomenology · Physics 2015-05-30 Grzegorz Wilk , Zbigniew Wlodarczyk

The exact analytical formulas for the transverse momentum distributions of the Bose-Einstein, Fermi-Dirac and Maxwell-Boltzmann statistics of particles with nonzero mass in the framework of the Tsallis normalized and Tsallis unnormalized…

Nuclear Theory · Physics 2021-12-09 A. S. Parvan , T. Bhattacharyya

The kinetic foundations of Tsallis' nonextensive thermostatistics are investigated through Boltzmann's transport equation approach. Our analysis follows from a nonextensive generalization of the ``molecular chaos hypothesis". For $q>0$, the…

Condensed Matter · Physics 2009-11-07 J. A. S. Lima , R. Silva , A. R. Plastino

The properties of the nonextensive parameter q and the Tsallis distribution for self-gravitating systems are studied. A mathematical expression of q is deduced based on the generalized Boltzmann equation, the q-H theorem and the generalized…

Statistical Mechanics · Physics 2015-08-10 Jiulin Du

Using a Tsallis nonextensive approach, we simultaneously analyze recent data obtained by the LHC ATLAS experiment on distributions of transverse momenta of jets, p_T^{jet}, together with distributions of transverse momenta of particles…

High Energy Physics - Phenomenology · Physics 2015-06-17 Grzegorz Wilk , Zbigniew Wlodarczyk

In this paper we present a new derivation of the $H$-theorem and the corresponding collisional equilibrium velocity distributions, within the framework of Tsallis' nonextensive thermostatistics. Unlike previous works, in our derivation we…

Statistical Mechanics · Physics 2009-11-10 Fernando M. Ramos , Reinaldo R. Rosa , Luis A. W. Bambace

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

Recent progresses in statistical mechanics indicate the Tsallis nonextensive thermostatistics as the natural generalization of the standard classical and quantum statistics, when memory effects and long-range forces are not negligible. In…

Nuclear Theory · Physics 2007-05-23 G. Kaniadakis , A. Lavagno , M. Lissia , P. Quarati

We present a systematic study for the statistical fits of the transverse momentum distributions of charged pions, Kaons and protons produced at energies ranging between 7.7 and 2670 GeV to the extensive Boltzmann-Gibbs (BG) and the…

High Energy Physics - Phenomenology · Physics 2023-10-30 Abdel Nasser Tawfik , Hayam Yassin , Eman R. Abo Elyazeed

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

A detailed analysis is presented of the precise values of the Tsallis parameters obtained in $p-p$ collisions for identified particles, pions, kaons and protons at the LHC at three beam energies $\sqrt{s} = 0.9, 2.76$ and $7$ TeV.…

High Energy Physics - Phenomenology · Physics 2018-04-18 T. Bhattacharyya , J. Cleymans , L. Marques , S. Mogliacci , M. W. Paradza

The dispersion relation of longitudinal electrostatic oscillations in a relativistic plasma is studied in the context of the nonextensive statistics formalism proposed by Tsallis [C. Tsallis, J. Stat. Phys. {\bf 52}, 479 (1988)], where…

Plasma Physics · Physics 2007-05-23 Victor Munoz

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

The exact and approximate hadron transverse momentum distributions for the Fermi-Dirac, Bose-Einstein and Maxwell-Boltzmann statistics of particles in the framework of the Tsallis statistics with escort probabilities (the Tsallis-3…

High Energy Physics - Phenomenology · Physics 2023-11-28 A. S. Parvan

The Bose-Einstein and Fermi-Dirac statistics of the identified hadrons were verified on the basis of the transverse momentum distributions of bosons and fermions created in the $pp$ collisions at high energies using the Tsallis-factorized…

High Energy Physics - Phenomenology · Physics 2015-02-06 A. S. Parvan

We applied the Tsallis statistics with the conventional expectation value to a system of free particles, adopting the equilibrium temperature which is often called the physical temperature. The entropic parameter $q$ in the Tsallis…

Statistical Mechanics · Physics 2026-05-14 Masamichi Ishihara

Following the basic prescriptions of the relativistic Tsallis' non-extensive thermostatistics, we investigate from a phenomenological point of view the relevance of non-extensive statistical effects on relativistic heavy-ion collisions…

Nuclear Theory · Physics 2014-11-18 W. M. Alberico , A. Lavagno

Experimental particle spectra can be successfully described by power-law tailed energy distributions characteristic to canonical equilibrium distributions associated to R\'enyi's or Tsallis' entropy formula - over a wide range of energies,…

Nuclear Theory · Physics 2013-06-27 T. S. Biró , E. Molnár
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