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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

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

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

The Tsallis distribution has been used widely in high energy physics to describe the transverse momnetum distributions of particles. In this note we show that the use of a thermodynamically consistent form of this distribution leads to a…

High Energy Physics - Phenomenology · Physics 2012-10-30 J. Cleymans

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

Large p_T transverse momentum distributions exhibit apparently a power-like behavior. We argue that, under closer inspection, this behavior is in fact decorated with some log-periodic oscillations. Assuming that this is genuine effect and…

High Energy Physics - Phenomenology · Physics 2014-03-25 Grzegorz Wilk , Zbigniew Wlodarczyk

We expand the Tsallis distribution in a Taylor series of powers of (q-1), where q is the Tsallis parameter, assuming q is very close to 1. This helps in studying the degree of deviation of transverse momentum spectra and other thermodynamic…

High Energy Physics - Phenomenology · Physics 2016-02-23 Trambak Bhattacharyya , Jean Cleymans , Arvind Khuntia , Pooja Pareek , Raghunath Sahoo

It has been noticed recently that transverse momenta (p_T) distributions observed in high energy production processes exhibit remarkably universal scaling behaviour. This is the case when a suitable variable replaces the usual p_T. On the…

High Energy Physics - Phenomenology · Physics 2015-06-04 Maciej Rybczynski , Zbigniew Wlodarczyk , Grzegorz Wilk

An overview is presented of transverse momentum distributions of particles at the LHC using the Tsallis distribution. The use of a thermodynamically consistent form of this distribution leads to an excellent description of charged and…

High Energy Physics - Phenomenology · Physics 2013-10-02 M. D. Azmi , J. Cleymans

Recently we have demostrated that the nonextensitivity parameter q occuring in some applications of Tsallis statistics (known also as index of the corresponding L\'evy distribution) is, in the q>1 case, given entirely by the fluctuations of…

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

It is argued that the factorization of compound probability over subsystems is a consequence of the existence of thermodynamic equilibrium in the composite system having Tsallis entropy. So it should be respected by all exact calculations…

Statistical Mechanics · Physics 2014-10-13 Qiuping A. Wang , Alain Le Mehaute

It is natural important question for us to ask what the nonextensive parameter stands for when Tsallis statistics is applied to the self-gravitating systems. In this paper, some properties of the nonextensive parameter and Tsallis…

Adaptation and Self-Organizing Systems · Physics 2015-08-10 Jiulin Du

We review the ubiquitous presence in multiparticle production processes of quasi-power law distributions (i.e., distributions following pure power laws for large values of the argument but remaining finite, usually exponential, for small…

High Energy Physics - Phenomenology · Physics 2016-01-20 Grzegorz Wilk , Zbigniew Włodarczyk

The Tsallis distribution has been used recently to fit the transverse momentum distributions of identified particles by the STAR and PHENIX collaborations at the Relativistic Heavy Ion Collider and by the ALICE and CMS collaborations at the…

High Energy Physics - Phenomenology · Physics 2015-05-30 J. Cleymans , D. Worku

The Tsallis distribution has been used recently to fit the transverse momentum distributions of identified particles by the STAR collaboration \cite{Abelev:2006cs} at the Relativistic Heavy Ion Collider and by the ALICE \cite{Aamodt:2011zj}…

High Energy Physics - Phenomenology · Physics 2011-06-21 J. Cleymans , D. Worku

Changes in the transverse momentum distributions with beam energy are studied using the Tsallis distribution as a parameterization. The dependence of the Tsallis parameters q, T and the volume are determined as a function of beam energy.…

High Energy Physics - Phenomenology · Physics 2015-06-15 J. Cleymans , G. I. Lykasov , A. S. Parvan , A. S. Sorin , O. V. Teryaev , D. Worku

Changes in the transverse momentum distributions with beam energy are studied using the Tsallis distribution as a parameterization. The dependence of the Tsallis parameters q, T and the volume on beam energy is determined. The Tsallis…

High Energy Physics - Phenomenology · Physics 2015-06-17 J. Cleymans

In the present work, we have found that the phenomenological Tsallis distribution (which nowadays is largely used to describe the transverse momentum distributions of hadrons measured in $pp$ collisions at high energies) is consistent with…

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

Based on the Tsallis entropy, the nonextensive thermodynamic properties are studied as a q-deformation of classical statistical results using only probabilistic methods and straightforward calculations. It is shown that the constant in the…

Statistical Mechanics · Physics 2007-05-23 Franck Jedrzejewski

This is a concise introduction to the topic of nonextensive Tsallis statistics meant especially for those interested in its relation to high energy proton-proton, proton-nucleus, and nucleus-nucleus collisions. The three types of Tsallis…

High Energy Physics - Phenomenology · Physics 2021-10-11 Joseph I. Kapusta
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