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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

Usually, the transverse momentum distribution is described by a sum of an exponential decay term plus a decreasing power like contribution representing the soft non-perturbative and hard perturbative QCD collisions, respectively. In this…

High Energy Physics - Phenomenology · Physics 2022-12-20 C. Pajares , J. E. Ramírez

The fundamentals of Statistical Mechanics require a fresh definition in the context of the developments in Classical Mechanics of integrable and chaotic systems. This is done with the introduction of Micro Partitions ; a union of disjoint…

Statistical Mechanics · Physics 2007-05-23 Ajay Patwardhan

We review some recent highlights from the applications of statistical-thermal models to different experimental measurements and lattice QCD thermodynamics, that have been made during the last decade. We start with a short review of the…

High Energy Physics - Phenomenology · Physics 2014-10-28 Abdel Nasser Tawfik

We generalize Tweed's seminal Born~I formalism for the electron-impact double ionization of two-electron atomic systems ($\text{H}^-$, $\text{He}$, $\text{Li}^+$) to non-extensive plasma environments described by Tsallis $q$-statistics. The…

General Physics · Physics 2026-05-28 Abdelmalek Boumali

The concept of temperature in nonequilibrium thermodynamics is an outstanding theoretical issue. We propose an energy repartition principle that leads to a spectral (mode-dependent) temperature in steady-state nonequilibrium systems. The…

Mesoscale and Nanoscale Physics · Physics 2017-01-19 Peng Yan , Gerrit E. W. Bauer , Huaiwu Zhang

The transverse momentum spectra of secondary $\eta$ particles produced in $P+P$, $D+Au$ and $Au+Au$ interactions at $\sqrt{s_{NN}}=200$ GeV at different centralities have been studied in the light of a non-extensive thermodynamical…

Nuclear Theory · Physics 2010-04-14 Bhaskar De , Gautam Sau , S. K. Biswas , S. Bhattacharyya , P. Guptaroy

In low-dimensional systems, indistinguishable particles can display statistics that interpolate between bosons and fermions. Signatures of these "anyons" have been detected in two-dimensional quasiparticle excitations of the fractional…

Statistical Mechanics · Physics 2021-11-15 Nathan M. Myers , Sebastian Deffner

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

After a brief discussion of the concepts of fractional exchange and fractional exclusion statistics, we report partly analytical and partly numerical results on thermodynamic properties of assemblies of particles obeying fractional…

Strongly Correlated Electrons · Physics 2011-11-10 F. M. D. Pellegrino , G. G. N. Angilella , N. H. March , R. Pucci

On the basis of information theory, a new formalism of classical non-relativistic mechanics of a mass point is proposed. The particle trajectories of a general dynamical system defined on an (1+n)-dimensional smooth manifold are treated…

Quantum Physics · Physics 2014-07-30 Yoshimasa Kurihara , Khiem Hong Phan , Nhi My Uyen Quach

For a general, associative addition rule defining a non-extensive thermodynamics we construct the strict monotonic function, which transforms it to an additive quantity. We investigate the evolution of one-particle distributions in the…

High Energy Physics - Phenomenology · Physics 2009-11-11 T. S. Biro , G. Purcsel

The transverse momentum ($p_{\rm T}$) spectra in proton-proton collisions at $\sqrt{s}$ = 7 TeV, measured by the ALICE experiment at the LHC are analyzed with a thermodynamically consistent Tsallis distribution. The information about the…

High Energy Physics - Phenomenology · Physics 2017-05-19 Arvind Khuntia , Sushanta Tripathy , Raghunath Sahoo , Jean 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

Analysis of transverse momentum distributions is a useful tool to understand the dynamics of relativistic particles produced in high energy collision. Finding a proper distribution function to approximate the spectra is a vastly developing…

High Energy Physics - Phenomenology · Physics 2023-02-22 Rohit Gupta , Anjaly Menon , Shubhangi Jain , Satyajit Jena

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

A full treatment for the scattering of an arbitrary number of bosons through a Bell multiport beam splitter is presented that includes all possible output arrangements. Due to exchange symmetry, the event statistics differs dramatically…

Quantum Physics · Physics 2012-04-18 Malte C. Tichy , Markus Tiersch , Fernando de Melo , Florian Mintert , Andreas Buchleitner

We suggest a duality between the standard (dynamical) and statistical distributions of partons in the nucleons. The temperature parameter entering into the statistical form for the quark distributions is estimated. It is found that this…

High Energy Physics - Phenomenology · Physics 2015-05-27 J. Cleymans , G. I. Lykasov , A. S. Sorin , O. V. Teryaev

During the past few years, nonextensive statistics has been successfully applied to explain many different kinds of systems. Through these studies some interpretations of the entropic parameter q, which has major role in this statistics, in…

Statistical Mechanics · Physics 2011-07-01 D. O. Soares-Pinto , M. S. Reis , R. S. Sarthour , I. S. Oliveira

The incomplete nonextensive statistics in the canonical and microcanonical ensembles is explored in the general case and in a particular case for the ideal gas. By exact analytical results for the ideal gas it is shown that taking the…

Statistical Mechanics · Physics 2011-01-17 A. S. Parvan , T. S. Biro