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The nonextensive statistics based on Tsallis entropy have been so far used for the systems composed of subsystems having same $q$. The applicability of this statistics to the systems with different $q$'s is still a matter of investigation.…

Statistical Mechanics · Physics 2007-05-23 Qiuping A. Wang

We argue that recent high energy CERN LHC experiments on transverse momenta distributions of produced particles provide us new, so far unnoticed and not fully appreciated, information on the underlying production processes. To this end we…

High Energy Physics - Phenomenology · Physics 2018-03-14 Grzegorz Wilk , Zbigniew Wlodarczyk

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

Quasicritical exponents of one-dimensional models displaying a quasitransition at finite temperatures are examined in detail. The quasitransition is characterized by intense sharp peaks in physical quantities such as specific heat and…

Statistical Mechanics · Physics 2019-05-01 Onofre Rojas , Jozef Strecka , Marcelo Leite Lyra , Sergio Martins de Souza

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

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

Space plasmas are generally characterized by non-Maxwellian distributions with suprathermal populations, as routinely revealed by in situ observations. Such departures from standard Maxwellian distributions can be understood as signatures…

Plasma Physics · Physics 2026-05-18 Kamel Ourabah

We show that there exists a natural way to define a condition of generalized thermal equilibrium between systems governed by Tsallis thermostatistics, under the hypotheses that i) the coupling between the systems is weak, ii) the structure…

Statistical Mechanics · Physics 2007-09-17 Massimo Marino

Multiparticle production processes in $pp$ collisions at the central rapidity region are usually considered to be divided into independent "soft" and "hard" components. The first is described by exponential (thermal-like) transverse…

High Energy Physics - Phenomenology · Physics 2015-06-23 Cheuk-Yin Wong , Grzegorz Wilk , Leonardo J. L. Cirto , Constantino Tsallis

We studied the effects of the Tsallis distribution on the transverse momentum fluctuation in high energy collisions. The parton-hadron duality and the Bose-Einstein type correlation between partons were assumed. The fluctuation was…

High Energy Physics - Phenomenology · Physics 2017-12-08 Masamichi Ishihara

Quasielectrons and quasiholes in the fractional quantum Hall liquids obey fractional (including nontrivial mutual) exclusion statistics. Their statistics matrix can be determined from several possible state-counting scheme, involving…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Y. S. Wu , Y. Yu , Y. Hatsugai , M. Kohmoto

The origin(s) of the ubiquity of probability distribution functions (PDF) with power law tails is still a matter of fascination and investigation in many scientific fields from linguistic, social, economic, computer sciences to essentially…

Statistical Mechanics · Physics 2021-11-01 Kiyoshi Kanazawa , Didier Sornette

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 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 nonextensitivity parameter $q$ occuring in some of the applications of Tsallis statistics (known also as index of the corresponding L\'evy distribution) is shown to be given, in $q>1$ case, entirely by the fluctuations of the parameters…

High Energy Physics - Phenomenology · Physics 2011-05-05 G. Wilk , Z. Wlodarczyk

In stochastic systems with weak noise, the logarithm of the stationary distribution becomes proportional to a large deviation rate function called the quasi-potential. The quasi-potential, and its characterization through a variational…

Statistical Mechanics · Physics 2016-05-04 Freddy Bouchet , Krzysztof Gawedzki , Cesare Nardini

Power-law distributions are widely observed in complex systems, yet establishing their thermodynamic consistency remains a theoretical challenge. In this paper, we present a thermodynamic framework for power-law statistics based on the…

Statistical Mechanics · Physics 2026-03-31 Hiroki Suyari

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

We look at multiparticle production processes from the nonextensive point of view. Nonextensivity means here the systematic deviations in exponential formulas provided by the usual statistical approach for description of some observables…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

Transverse momentum spectra of particles produced in high energy collisions are very important due to their relations to the excitation degree of interacting system. To describe the transverse momentum spectra, one can use more than one…

High Energy Physics - Phenomenology · Physics 2018-12-03 Qi Wang , Pei-Pin Yang , Fu-Hu Liu