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In non-equilibrium states, currents are produced by irreversible processes that take a system toward the equilibrium state, where the current vanishes. We demonstrate, in a general setting, that a superstatistics arises when the system…

Statistical Mechanics · Physics 2015-05-28 Mohammad Mehrafarin

An improved Tsallis statistics is implemented in a multisource thermal model to describe systematically pseudorapidity spectra of charged particles produced in relativistic nucleon-nucleon ($pp$ or $p\overline{p}$) collisions at various…

High Energy Physics - Phenomenology · Physics 2014-03-18 Bao-Chun Li , Ya-Zhou Wang , Fu-Hu Liu , Xin-Jian Wen , You-Er Dong

The transverse momentum distribution of identified hadrons from recent years are analyzed within the thermodynamically consistent formulation of non-extensive statistics. A wide range of center-of-mass energies and average event…

High Energy Physics - Phenomenology · Physics 2020-03-09 Gábor Bíró , Gergely Gábor Barnaföldi , Tamás Sándor Biró

To know the statistical distribution of a variable is an important problem in management of resources. Distributions of the power law type are observed in many real systems. However power law distributions have an infinite variance and thus…

Statistical Mechanics · Physics 2008-12-02 Hari M. Gupta , Jose R. Campanha

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

The thermodynamic properties of matter created in high-energy heavy-ion collisions have been studied in the framework of the non-extensive Tsallis statistics. The transverse momentum ($p_{\rm T}$)~spectra of identified charged particles…

High Energy Physics - Phenomenology · Physics 2021-10-06 Rajendra Nath Patra , Bedangadas Mohanty , Tapan K. Nayak

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

Numerous papers have appeared recently showing fits to transverse momentum ($p_T$) spectra measured at the Large Hadron Collider (LHC) in proton - proton collisions.This talk focuses on the fits extending to very large values of the…

High Energy Physics - Phenomenology · Physics 2017-03-08 J. Cleymans

A systematic analysis of transverse momentum and rapidity distributions measured in high-energy proton - proton (pp) collisions for energies ranging from 53 GeV to 7 TeV using Tsallis thermodynamics is presented. The excellent description…

High Energy Physics - Phenomenology · Physics 2015-06-23 L. Marques , J. Cleymans , A. Deppman

The transverse momentum distributions of final-state particles are very important for high-energy collision physics. In this work, we investigate and meson distributions in the framework of a particle-production source, where Tsallis…

Nuclear Theory · Physics 2018-05-04 Bao-Chun Li , Ting Bai , Yuan-Yuan Guo , Fu-Hu Liu

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

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

We present the conclusive mathematical structure behind Tsallis statistics. We obtain mainly the following five theoretical results: (i) the one-to-one correspondence between the q-multinomial coefficient and Tsallis entropy, (ii) symmetry…

Statistical Mechanics · Physics 2007-05-23 Hiroki Suyari

We study the nonextensive thermodynamics for open systems. On the basis of the maximum entropy principle, the dual power-law q-distribution functions are re-deduced by using the dual particle number definitions and assuming that the…

Statistical Mechanics · Physics 2020-02-26 Yahui Zheng , Haining Yu , Jiulin Du

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 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

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

We analyze how can some dynamical process lead to (almost) exponential distribution of hadrons without instantaneous equipartition with a heat bath. We present a model for parton dressing whic re-combines the exponential from cut power law…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tamas S. Biro , Gabor Purcsel , Berndt Muller

Fits to the transverse momentum distributions of charged particles produced in p - p collisions at LHC energies based on the Tsallis distribution have been shown to work over 14 orders of magnitude. Two versions of the Tsallis distribution…

High Energy Physics - Phenomenology · Physics 2015-10-28 M. D. Azmi , J. Cleymans

We revisit the cut-off prescriptions which are needed in order to specify completely the form of Tsallis' maximum entropy distributions. For values of the Tsallis entropic parameter $q>1$ we advance an alternative cut-off prescription and…

Statistical Mechanics · Physics 2009-11-11 A. M. Teweldeberhan , A. R. Plastino , H. G. Miller