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We deduce the particle distributions in particle collisions with multihadron-production in the framework of mechanical statistics. They are derived as functions of x, P_T^2 and the rest mass of different species for a fixed total number of…

High Energy Physics - Phenomenology · Physics 2009-11-07 F. Buccella , L. Popova

Transverse momentum ($p_{\mathrm{T}}$) distributions of identified hadrons produced in p-Pb collisions at $\mathrm{\sqrt{s_{NN}} = 5.02\ TeV}$ have been measured at mid-rapidity (0 $< y_{\mathrm{CMS}} <$ 0.5) by ALICE. Particle tracks are…

High Energy Physics - Experiment · Physics 2019-08-13 Jonas Anielski

It is shown that Tsallis' generalized statistics provides a natural frame for the statistical-thermodynamical description of anomalous diffusion. Within this generalized theory, a maximum-entropy formalism makes it possible to derive a…

Statistical Mechanics · Physics 2015-06-25 Damian H. Zanette

The transverse momentum distributions of various hadrons produced in most central Pb+Pb collisions at LHC energy Root(s_NN) = 2.76 TeV have been studied using our earlier proposed unified statistical thermal freeze-out model. The calculated…

High Energy Physics - Phenomenology · Physics 2014-11-18 Saeed Uddin , Inam-ul Bashir , Riyaz Ahmed Bhat , M. Farooq Mir

The energy dependence of Tsallis statistics parameters is presented for charged pions produced at beam energies ranging between 6.3 GeV and 7 TeV. It is found that deviations from Boltzmann statistics are monotonically growing with beam…

Nuclear Theory · Physics 2017-05-29 A. S. Parvan , O. V. Teryaev , J. Cleymans

In this work, we provide an overview of the recent investigations on the non-extensive Tsallis statistics and its applications to high energy physics and astrophysics, including physics at the Large Hadron Collider (LHC), hadron physics,…

High Energy Physics - Phenomenology · Physics 2020-09-15 Airton Deppman , Eugenio Megias , Debora P. Menezes

The thermodynamic stability condition (TSC) of Tsallis' entropy is revisited. As Ramshaw [Phys. Lett. A {\bf 198} (1995) 119] has already pointed out, the concavity of Tsallis' entropy with respect to the internal energy is not sufficient…

Statistical Mechanics · Physics 2009-11-07 T. Wada

Topological defects dominate the deformation response of materials in processes ranging from quantum turbulence to crystal plasticity. We calculate the probability distribution function for the fluctuations in velocity $v$, using scaling…

Statistical Mechanics · Physics 2012-03-02 Luiza Angheluta , Patricio Jeraldo , Karin Dahmen , Nigel Goldenfeld

Three-dimensional molecular dynamics simulations of dissipative particles (~ 10^6) are carried out for studying the clustering kinetics of granular media during cooling. The inter-connected high particle density regions are identified,…

Materials Science · Physics 2007-05-23 Shiyi Chen , Yuefan Deng , Xiaobo Nie , Yuhai Tu

We derive and study quasicanonical Gibbs distribution function which is characterized by the thermostat with finite number of particles (quasithermostat). We show that this naturally leads to Tsallis nonextensive statistics and…

Statistical Mechanics · Physics 2007-05-23 A. K. Aringazin , M. I. Mazhitov

We try to establish a connection between the hadronic distributions, in proton-proton collisions at very high transverse momentum $p_{\mathrm{T}}$, obtained via perturbative QCD and the Tsallis non extensive statistics. Our motivation is…

High Energy Physics - Phenomenology · Physics 2019-01-30 T. Bhattacharyya , J. Cleymans , S. Mogliacci , A. S. Parvan , A. S. Sorin , O. V. Teryaev

We investigate the transverse momentum distribution (TMD) statistics from three different theoretical approaches. In particular, we explore the framework used for string models, wherein the particle production is given by the Schwinger…

High Energy Physics - Phenomenology · Physics 2024-03-22 D. Rosales Herrera , J. R. Alvarado García , A. Fernández Téllez , J. E. Ramírez , C. Pajares

LHC ALICE data are interpreted in terms of statistical power-law tailed pT spectra. As explanation we derive such statistical distributions for particular particle number fluctuation patterns in a finite heat bath exactly, and for general…

High Energy Physics - Phenomenology · Physics 2014-05-19 T. S. Biró , G. G. Barnaföldi , P. Ván , K. Ürmössy

We investigate how the non-extensive approach works in high-energy physics. Transverse momentum ($p_T$) spectra of several hadrons are fitted by various non-extensive momentum distributions and by the Boltzmann--Gibbs statistics.~It is…

High Energy Physics - Phenomenology · Physics 2019-05-23 Keming Shen , Gergely Gábor Barnaföldi , Tamás Sándor Biró

Hadron yields in high energy heavy ion collisions have been fitted and reproduced by thermal models using standard statistical distributions. These models give insight into the freeze-out conditions at varying beam energies. In this paper…

High Energy Physics - Phenomenology · Physics 2010-01-15 J. Cleymans , G. Hamar , P. Levai , S. Wheaton

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

Anomalous diffusion and non-Gaussian statistics are detected experimentally in a two-dimensional driven-dissipative system. A single-layer dusty plasma suspension with a Yukawa interaction and frictional dissipation is heated with laser…

Soft Condensed Matter · Physics 2009-11-13 Bin Liu , J. Goree

This work presents a model for generating nonthermal power-law tails of particles' energy probability density functions in turbulent collisionless plasmas, applicable to both non-relativistic and relativistic scenarios. We propose that…

Plasma Physics · Physics 2026-05-05 Stanislav Boldyrev , Daniel Humphrey , Vadim Roytershteyn

Probability distributions defined on the half space are known to be quite different from those in the full space. Here, a nonextensive entropic treatment is presented for the half space in an analytic and self-consistent way. In this…

Statistical Mechanics · Physics 2007-05-23 A. K. Rajagopal , Sumiyoshi Abe

From the perspective of non-equilibrium statistical mechanics, modeling the velocity distribution of particles in non-equilibrium, steady-state plasmas presents a significant challenge. Under this context, a family of kappa distributions…

Plasma Physics · Physics 2025-09-10 Abiam Tamburrini , Sergio Davis , Pablo S. Moya