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The predictions from a non-extensive self-consistent theory recently proposed are investigated. Transverse momentum ($p_T$) distribution for several hadrons obtained in $p+p$ collisions are analyzed to verify if there are evidence for a…

High Energy Physics - Phenomenology · Physics 2015-06-11 L. Marques , E. Andrade-II , A. Deppman

We extend the formalism of the thermodynamic two-time Green's functions to nonextensive quantum statistical mechanics. Working in the optimal Lagrangian multipliers representation, the $q$-spectral properties and the methods for a direct…

Statistical Mechanics · Physics 2008-09-07 A. Cavallo , F. Cosenza , L. De Cesare

The statistical properties of fully developed hydrodynamic turbulence can be successfully described using methods from nonextensive statistical mechanics. The predicted probability densities and scaling exponents precisely coincide with…

Statistical Mechanics · Physics 2009-11-07 Christian Beck

We propose that transverse momentum spectra with power-law tails observed in ultrarelativistic heavy ion collisions can be interpreted as originating in a medium in thermal equilibrium. General conditions on the dynamical equations are…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. S. Biro , G. Gyorgyi , A. Jakovac , G. Purcsel

Following the basic prescriptions of the Tsallis' nonextensive relativistic thermodynamics, we investigate the relevance of nonextensive statistical effects on the relativistic nuclear and subnuclear equation of state. In this framework, we…

Nuclear Theory · Physics 2015-05-14 A. Lavagno , P. Quarati , A. M. Scarfone

We investigate the longitudinal nuclear suppression factor defined by a scaled ratio of rapidity distributions. To study this experimental observable, we describe three approaches involving numerical and analytical calculations. We first…

Nuclear Theory · Physics 2025-12-08 Trambak Bhattacharyya , Maciej Rybczyński , Zbigniew Włodarczyk

It is shown by simple and straightforward considerations that discreteness of basic physical variables is, at least, essential for generalized statistical mechanics with non-logarithmic entropy to be thermodynamically applicable to…

Statistical Mechanics · Physics 2015-05-19 Sumiyoshi Abe

I discuss Haldane's concept of generalised exclusion statistics (Phys. Rev. Lett. {\bf 67}, 937, 1991) and I show that it leads to inconsistencies in the calculation of the particle distribution that maximizes the partition function. These…

Statistical Mechanics · Physics 2011-11-10 Dragoş-Victor Anghel

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

In characterizing the yields and ratios various of well identified particles in the ALICE experiment, we utilize extensive {\it additive} thermal approaches, to which various missing states of the hadron resonances are taken into…

High Energy Physics - Phenomenology · Physics 2019-07-01 Abdel Nasser Tawfik , Hayam Yassin , Eman R. Abo Elyazeed

The non-extensive canonical ensemble theory is reconsidered with the method of Lagrange multipliers by maximizing Tsallis entropy, with the constraint that the normalized term of Tsallis' $q-$average of physical quantities, the sum $\sum…

Statistical Mechanics · Physics 2017-07-18 Ke-Ming Shen , Ben-Wei Zhang , En-Ke Wang

By assuming the existing of memory effects and long-range interactions in the hot and dense matter produced in high energy heavy ion collisions, the nonextensive statistics together with the relativistic hydrodynamics including phase…

Nuclear Theory · Physics 2017-11-08 Jia-Qi Hui , Zhi-Jin Jiang , Dong-Fang Xu

A nonequilibrium statistical operator method is developed for ensembles of particles obeying non-Hamiltonian equations of motion in classical phase space. The main consequences of non-zero compressibility of phase space are examined in…

Statistical Mechanics · Physics 2007-05-23 Alexander V. Zhukov , Jianshu Cao

In this paper, the particles of quantum gases, that is, bosons and fermions are regarded as g-ons which obey fractional exclusion statistics. With this point of departure the thermostatistical relations concerning the Bose and Fermi systems…

Statistical Mechanics · Physics 2015-06-24 F. Buyukkilic , D. Demirhan , ;

We study the possibility of applying statistical mechanics to generally covariant quantum theories with a vanishing Hamiltonian. We show that (under certain appropiate conditions) this makes sense, in spite of the absence of a notion of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Merced Montesinos , Carlo Rovelli

We analyze how the thermal history of the universe is influenced by the statistical description, assuming a deviation from the usual Bose-Einstein, Fermi-Dirac and Boltzmann-Gibbs distribution functions. These deviations represent the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. E. Pessah , Diego F. Torres , H. Vucetich

The non extensive statistics proposed by C. Tsallis has found wide applicability, being present even in the description of experimental data from high energy collisions. A system with a fractal structure in its energy-momentum space, named…

High Energy Physics - Phenomenology · Physics 2018-02-08 Airton Deppman

An unified thermodynamical framework based in the use of a generalized Massieu-Planck thermodynamic potential is proposed and a new formulation of Boltzmann-Gibbs Statistical Mechanics is established. Under this philosophy a generalization…

Mathematical Physics · Physics 2007-05-23 V. Garcia-Morales , J. Pellicer

This paper applies the formalism of classical, Gibbs-Boltzmann statistical mechanics to the phenomenon of non-thermal damage. As an example, a non-thermal fiber-bundle model with the global uniform (meanfield) load sharing is considered.…

Statistical Mechanics · Physics 2008-10-01 S. G. Abaimov

We apply a variant of the Nose-Hoover thermostat to derive the Hamiltonian of a nonextensive system that is compatible with the canonical ensemble of the generalized thermostatistics of Tsallis. This microdynamical approach provides a…

Statistical Mechanics · Physics 2009-11-07 J. S. Andrade , M. P. Almeida , A. A. Moreira , G. A. Farias
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