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We analyzed the transverse momentum {\ppt} spectra of different particle species containing strange quark {\ks}, {\lam (\alam)} and {\xim ({\axi})} in different centrality intervals at mid-rapidity ($y$) from {\auau} collisions at…

High Energy Physics - Phenomenology · Physics 2022-09-07 M. U. Ashraf , Junaid Tariq , Sumaira Ikram , A. M. Khan

Fully-developed incompressible Navier-Stokes turbulence in three dimensions is a dissipative dynamical system that exhibits strong departure from absolute equilibrium. Nevertheless, several kinds of representation by Tsallis equilibria have…

Chaotic Dynamics · Physics 2009-11-10 Toshiyuki Gotoh , Robert H. Kraichnan

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

It is shown that the distribution derived from the principle of maximum Tsallis entropy is a superposable Levy-type distribution. Concomitantly, the leading order correction to the limit distribution is also deduced. This demonstration…

Statistical Mechanics · Physics 2007-05-23 Sumiyoshi Abe , A. K. Rajagopal

In this paper, the experimental (simulated) transverse momentum spectra of negatively charged pions produced at mid-rapidity in central nucleus-nucleus collisions at the Heavy Ion Synchrotron (SIS), Relativistic Heavy Ion Collider (RHIC),…

Nuclear Theory · Physics 2018-03-20 Rui-Fang Si , Hui-Ling Li , Fu-Hu Liu

Quasi-power law ensembles are discussed from the perspective of nonextensive Tsallis distributions characterized by a nonextensive parameter $q$. A number of possible sources of such distributions are presented in more detail. It is further…

Statistical Mechanics · Physics 2023-07-19 Grzegorz Wilk , Zbigniew Włodarczyk

We investigate the identified hadrons transverse momentum ($p_{\rm T}$) spectra in Pb-Pb (Pb-Pb, Xe-Xe, p-Pb) collisions at $\sqrt{s_{\rm NN}}=$ 2.76 (5.02, 5.44, 5.02) TeV in the framework of Tsallis-blast wave (TBW) model with a linear…

Nuclear Theory · Physics 2021-08-20 G. R. Che , J. B. Gu , W. C. Zhang , H. Zheng

It was found in [Europhysics Letters {\bf 104}, (2013), 60003] that classical Tsallis theory exhibits poles in the partition function ${\cal Z}$ and the mean energy $<{\cal U}>$. These occur at a countably set of the q-line. We give here,…

Statistical Mechanics · Physics 2016-11-15 M. C. Rocca , A. Plastino , G. L. Ferri

We report the results of MD numerical simulations for a one component model of a plasma in the weakly coupled regime, at different values of temperature $T$ and applied magnetic field $\vec B$, in which the diffusion coefficient $D_{\perp}$…

Plasma Physics · Physics 2016-05-03 Lorenzo Valvo , Andrea Carati

The transverse momentum (pT) distributions up to pT = 20 GeV/c for pions produced in the ten different multiplicity classes (MCs) of symmetric pp collisions at sqrt(s) = 7 TeV have been investigated. Two distinct models, the Tsallis-Pareto…

High Energy Physics - Phenomenology · Physics 2026-02-04 Murad Badshah , Haifa I. Alrebdi , Muhammad Waqas , Hadiqa Qadir , Muhammad Ajaz

Most astrophysical plasmas are observed to have velocity distribution functions exhibiting non-Maxwellian suprathermal tails. The high energy particle populations are accurately represented by the family of kappa-distributions where the use…

Astrophysics · Physics 2009-11-07 Manfred P. Leubner

We show that size-rank distributions with power-law decay (often only over a limited extent) observed in a vast number of instances in a widespread family of systems obey Tsallis statistics. The theoretical framework for these distributions…

Statistical Mechanics · Physics 2014-09-29 G. Cigdem Yalcin , Alberto Robledo , Murray Gell-Mann

Although partition temperature derived using the Darwin-Fowler method is exact for simple scenarios, the derivation for complex systems might reside on specific approximations whose viability is not ensured if the thermodynamic limit is not…

Nuclear Theory · Physics 2023-11-09 Wei-Liang Qian , Kai Lin , Rui-Hong Yue , Yogiro Hama , Takeshi Kodama

We evaluate $n$-particle ($n=2,3,4,5$) transverse momentum correlations for pions and kaons following from the decay of statistical clusters. These correlation functions could provide strong constraints on a possible existence of thermal…

High Energy Physics - Phenomenology · Physics 2016-07-25 Andrzej Bialas , Adam Bzdak

We analyze the connection between $p_T$ and multiplicity distributions in a statistical framework. We connect the Tsallis parameters, $T$ and $q$, to physical properties like average energy per particle and the second scaled factorial…

High Energy Physics - Phenomenology · Physics 2017-03-08 Tamas S Biro , Gergely G Barnafoldi , Gabor Biro , Ke Ming Shen

The current form of Tsallis distribution for a Hamiltonian system with an arbitrary potential is found to represent a simple isothermal situation. In this letter, the q-exponential of a sum can be applied as the product of the q-exponential…

Statistical Mechanics · Physics 2015-08-10 Jiulin Du

The maximum entropy principle in Tsallis statistics is reformulated in the mathematical framework of the q-product, which results in the unique non self-referential q-canonical distribution. As one of the applications of the present…

Statistical Mechanics · Physics 2009-11-11 Hiroki Suyari

We analytically study isothermal spheres in the light of nonextensive statistical mechanics. The equations for the isothermal spheres are derived from the grand partition function of the gravitating particle system in the Tsallis…

General Relativity and Quantum Cosmology · Physics 2025-09-24 Nahomi Kan , Takuya Maki , Kiyoshi Shiraishi

The distribution function of the relative velocity in a two-body reaction of nonrelativistic uncorrelated particles is derived for general cases of given distribution functions of single particle velocities. The distribution function is…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-13 Motohiko Kusakabe , Toshitaka Kajino , Grant J. Mathews , Yudong Luo

A study of the effects of non-extensivity on the modelling of atomic physics in hot dense plasmas is proposed within Tsallis' statistics. The electronic structure of the plasma is calculated through an average-atom model based on the…

Plasma Physics · Physics 2015-05-30 Jean-Christophe Pain , Denis Teychenné , Franck Gilleron
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