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We present an overview of information theory approach (both in its extensive and nonextensive versions) applied to high energy multiparticle production processes. It will be illustrated by analysis of single particle distributions measured…

High Energy Physics - Phenomenology · Physics 2009-11-10 F. S. Navarra , O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

We revisit the derivation of a formula for the $q$-generalised multinomial coefficient rooted in the $q$-deformed algebra, a foundational framework in the study of nonextensive statistics. Previous approximate expressions in the literature…

Statistical Mechanics · Physics 2024-10-08 Keisuke Okamura

In Statistical Mechanics, Tsallis distributions were apparently conceived in connection with systems presenting long--range interactions. In fact, they were observed in numerical computations for models of such a type, as occurring in the…

Statistical Mechanics · Physics 2020-04-22 Andrea Carati , Luigi Galgani , Fabrizio Gangemi , Roberto Gangemi

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

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

In this paper, transverse momentum spectra of pi+, K+ and p measured at fix event-multiplicities and \sqrt s = 0.9, 2.76 and 7 TeV collision energies by the CMS Collabotaion are shown to fit the Tsallis-distribution. It is found that the…

High Energy Physics - Phenomenology · Physics 2013-02-22 K. Urmossy

The second law of thermodynamics in nonextensive statistical mechanics is discussed in the quantum regime. Making use of the convexity property of the generalized relative entropy associated with the Tsallis entropy indexed by q, Clausius'…

Statistical Mechanics · Physics 2009-11-10 Sumiyoshi Abe , A. K. Rajagopal

Power law scaling is observed in many physical, biological and socio-economical complex systems and is now considered as an important property of these systems. In general, power law exists in the central part of the distribution. It has…

Statistical Mechanics · Physics 2009-11-13 Hari M. Gupta , Jose R. Campanha , Sidney J. Schinaider

The Hulth\'{e}n potential is a short-range potential that has been widely used in various fields of physics. In this paper, we investigate the distribution functions for the Hulth\'{e}n potential by using statistical and superstatistical…

Statistical Mechanics · Physics 2024-09-11 Amir Hossein Khorram manesh , J. Sadeghi , Saeed Noori Gashti

It is pointed out that the dynamics of the order parameter at a thermal critical point obeys the precepts of the nonextensive Tsallis statistics. We arrive at this conclusion by putting together two well-defined statistical-mechanical…

Statistical Mechanics · Physics 2013-08-29 A. Robledo

We present the q-Stirling's formula using the q-product determined by Tsallis entropy as nonextensive generalization of the usual Stirling's formula. The numerical computations and the proof are also shown. Moreover, we derive and prove…

Statistical Mechanics · Physics 2007-05-23 Hiroki Suyari

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

This work deals with the physical system governed by a Hamiltonian operator, in two-dimensional space, of spinless charged particles subject to a perpendicular magnetic field B, coupled with a harmonic potential in the context of…

Statistical Mechanics · Physics 2025-04-30 Bienvenu Gnim Adewi , Isiaka Aremua , Laure Gouba

We present two issues here: (i) that in situation when total energy is kept constant recently proposed fluctuations of volume ensemble is equivalent to the approach using Tsallis statistics with fluctuating temperature and (ii) that the…

High Energy Physics - Phenomenology · Physics 2010-11-29 Grzegorz Wilk , Zbigniew Wlodarczyk , Wojciech Wolak

We discuss the possibility of implementing axiomatic nonextensive statistics, where it is conjectured that the phase-space volume determines the (non)extensive entropy, on the particle production at NICA energies. Both Boltzmann-Gibbs and…

Nuclear Theory · Physics 2016-08-23 Abdel Nasser Tawfik

We show that there is an effect of nonextensivity acting upon the BCS model for superconductors in the ground state that motivates its study in the Tsallis' statistical framework. We show that the weak-coupling limit superconductors are…

Superconductivity · Physics 2016-08-31 Lizardo H. C. M. Nunes , E. V. L. de Mello

We study the collision frequencies of particles in the weakly and highly ionized plasmas with the power-law q-distributions in nonextensive statistics. We derive the average collision frequencies of neutral-neutral particle,…

Plasma Physics · Physics 2021-01-08 Yue Wang , Jiulin Du

An ideal mixture of parahydrogen (with nuclear spin K=0) and orthohydrogen (with K=1), in statistical weights 1/4 and 3/4, respectively, is used as a test ground for the existence of non-extensivity in chemical physics. We report on a new…

Statistical Mechanics · Physics 2009-11-07 S. Martinez , F. Pennini , A. Plastino , H. Vucetich

We show that the mutually exclusive nature of classical and quantum correlations distributed in multi-party quantum systems can be characterized in terms of $q$-expectation. Using Tsallis-$q$ entropy and $q$-expectation, we first provide…

Quantum Physics · Physics 2019-09-25 Jeong San Kim

The mid-rapidity transverse-momentum spectra of charmed meson in Pb-Pb and pp($\overline{\text{p}}$) collisions are analyzed by Tsallis-Pareto distribution derived from non-extensive statistics. We perform uniform descriptions for both…

High Energy Physics - Experiment · Physics 2021-10-12 Yuan Su , Xiaolong Chen , Yongjie Sun , Yifei Zhang