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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

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

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

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

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 demonstrate that selection of the minimal value of ordered variables leads in a natural way to its distribution being given by the Tsallis distribution, the same as that resulting from Tsallis nonextensive statistics. The possible…

Statistical Mechanics · Physics 2009-11-13 G. Wilk , Z. Wlodarczyk

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 parameters like energy density, pressure, entropy density, temperature and particle density are determined from the transverse momentum distributions of charged particles in Pb-Pb collisions at the LHC. The results show a…

High Energy Physics - Phenomenology · Physics 2020-04-22 M. D. Azmi , T. Bhattacharyya , J. Cleymans , M. Paradza

In a recent paper, Phys. Rev. Lett. 105 260601 (2010) [arXiv:1008.1421], Andrade et al., argued that classical particles confined in a parabolic trap at T=0 distribute themselves in accordance with the Tsallis statistics. To prove their…

Statistical Mechanics · Physics 2011-08-18 Yan Levin , Renato Pakter

Large transverse momentum distributions of identified particles observed at RHIC are analyzed by a relativistic stochastic model in the three dimensional (non-Euclidean) rapidity space. A distribution function obtained from the model is…

High Energy Physics - Phenomenology · Physics 2015-06-25 N. Suzuki , M. Biyajima

The transverse momentum distributions measured in $p-p$ collisions at the LHC determine the kinetic freeze-out stage of the collision. The parameters deduced from these distributions differ from those determined at chemical freeze-out. The…

High Energy Physics - Phenomenology · Physics 2020-10-13 J. Cleymans , M. W. Paradza

This paper presents a comprehensive analysis of the double-differential $p_T$ distributions of charged particles in twelve distinct pseudorapidity regions of equal width in $pp$ collisions at center-of-mass energies of 0.9, 2.36, and 7 TeV.…

High Energy Physics - Phenomenology · Physics 2024-10-21 Haifa I. Alrebdi , Muhammad Ajaz , Murad Badshah , Muhammad Waqas , Nourah A. M. Alsaif

The charged-particle transverse momentum spectra ($p_{\rm T}$-spectra) measured by the ALICE collaboration for $pp$ collisions at $\sqrt {s} =$ 7 and 13 TeV have been studied using a thermodynamically consistent form of Tsallis…

High Energy Physics - Phenomenology · Physics 2024-03-08 Girija Sankar Pradhan , Dushmanta Sahu , Rutuparna Rath , Raghunath Sahoo , Jean Cleymans

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

This study investigates transverse-momentum (pT) distributions of pi-, pi+, K-, K+, p, pbar, K0s, and Lambda in several centrality classes of Pb-Pb collisions at sqrt(sNN) = 2.76 TeV. The measured spectra are analyzed with the Tsallis…

High Energy Physics - Phenomenology · Physics 2026-02-04 Haifa I. Alrebdi , Muhammad Ajaz , Murad Badshah , Mohammad Ayaz Ahmad

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

We have implemented the Tsallis q-statistics in the Weibull model of particle production known as the q-Weibull distribution to describe the transverse-momentum (pT ) distribution of the charged hadrons at mid-rapidity measured at RHIC and…

Nuclear Theory · Physics 2016-11-18 Sadhana Dash , D. P. Mahapatra

We have studied transverse momentum ($p_{\rm{T}}$) spectra of charged hadrons in various pseudo-rapidity ranges for p-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 5.02 TeV. The medium effects such as collective flow and energy loss resulting…

High Energy Physics - Phenomenology · Physics 2024-07-22 Kapil Saraswat , Deependra Singh Rawat , Akash Pandey , Venktesh Singh , H. C. Chandola

Influence of surrounding matter on the properties of clusters is considered by an approach combining the methods of statistical and quantum mechanics. A cluster is treated as a bound N-particle system and surrounding matter as thermostat.…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov , E. P. Yukalova

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