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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

The various experimental data at AGS, SPS and RHIC energies on hadron particle yields for central heavy ion collisions are investigated by employing a generalized statistical density operator, that allows for a well-defined anisotropic…

Nuclear Theory · Physics 2008-11-26 B. Schenke , C. Greiner

Combining analytical and numerical methods, we study within the framework of the homogeneous non-linear Boltzmann equation, a broad class of models relevant for the dynamics of dissipative fluids, including granular gases. We use the new…

Statistical Mechanics · Physics 2007-09-23 E. Trizac , A. Barrat , M. H. Ernst

The multiplicity fluctuations of hadrons are studied within the statistical hadron-resonance gas model in the large volume limit. The role of quantum statistics and resonance decay effects are discussed. The microscopic correlator method is…

Nuclear Theory · Physics 2008-11-26 Mark Gorenstein

Previous results on Renyi and Wang's formalism of the Tsallis thermostatics are founded by using an extensive variable z connected to the entropic parameter q. It is shown that in the thermodynamical limit both the Tsallis and Renyi…

Statistical Mechanics · Physics 2007-05-23 A. S. Parvan , T. S. Biro

In a recent paper [Int. J. Mod. Phys. B {\bf 14}, 405 (2000)] we discussed the Bose-Einstein condensation (BEC) in the framework of Tsallis's nonextensive statistical mechanics. In particular, we studied an ideal gas of bosons in a…

Statistical Mechanics · Physics 2009-11-07 Luca Salasnich

We show that finite systems whose Hamiltonians obey a generalized homogeneity relation rigorously follow the nonextensive thermostatistics of Tsallis. In the thermodynamical limit, however, our results indicate that the Boltzmann-Gibbs…

Statistical Mechanics · Physics 2016-08-31 Artur B. Adib , Andre A. Moreira , Jose S. Andrade , Murilo P. Almeida

The issue of the thermodynamics of a system of distinguishable particles is discussed in this paper. In constructing the statistical mechanics of distinguishable particles from the definition of Boltzmann entropy, it is found that the…

Chemical Physics · Physics 2009-12-03 Chi-Ho Cheng

Nonextensive statistics in a Blast-Wave model (TBW) is implemented to describe the identified hadron production in relativistic p+p and nucleus-nucleus collisions. Incorporating the core and corona components within the TBW formalism allows…

Relativistic particle production often requires the use of Tsallis statistics to account for the apparently power-like behavior of transverse momenta observed in the data even at a few GeV/c. In such an approach this behavior is attributed…

High Energy Physics - Phenomenology · Physics 2011-04-20 Grzegorz Wilk , Zbigniew Wlodarczyk

Study of the characteristic properties of charged particle production in hadron-nucleus collisions at high energies, by utilising the approaches from different statistical models is performed.~Predictions from different approaches using the…

High Energy Physics - Phenomenology · Physics 2021-04-07 A. Kaur , M. Kaur , R. Aggarwal

The production of hadrons in relativistic heavy ion collisions is studied using a statistical ensemble with thermal and chemical equilibrium. Special attention is given to exact conservation laws, i.e. certain charges are treated…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Keranen , J. Cleymans , E. Suhonen

The latest, high-accuracy identified hadron spectra measurements in high-energy nuclear collisions led us to the investigation of the strongly interacting particles and collective effects in small systems. Since microscopical processes…

High Energy Physics - Phenomenology · Physics 2018-03-14 Gábor Bíró , Gergely Gábor Barnaföldi , Tamás Sándor Biró , Keming Shen

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

The domain of validity of standard thermodynamics and Boltzmann-Gibbs statistical mechanics is discussed and then formally enlarged in order to hopefully cover a variety of anomalous systems. The generalization concerns {\it nonextensive}…

Statistical Mechanics · Physics 2007-05-23 C. Tsallis

Identified hadron spectra and ratios provide a unique tool to study the bulk particle production in heavy-ion collisions and explore the QCD phase diagram. In these proceedings we present the analysis of charged pion, kaon and (anti)proton…

Nuclear Experiment · Physics 2019-08-13 Aneta Iordanova

During the past dozen years there have been numerous articles on a relation between entropy and probability which is non-additive and has a parameter $q$ that depends on the nature of the thermodynamic system under consideration. For $q=1$…

Statistical Mechanics · Physics 2009-11-07 Michael Nauenberg

A study of the "horn" in the particle ratio $K^+/\pi^+$ for central heavy-ion collisions as a function of the collision energy $\sqrt{s}$ is presented. We analyse two different interpretations: the onset of deconfinement and the transition…

High Energy Physics - Phenomenology · Physics 2015-06-17 Alessia Palmese , Giuseppe Pagliara , Alessandro Drago , Olena Linnyk , Wolfgang Cassing

The statistics of $q$-oscillators, quons and to some extent, of anyons are studied and the basic differences among these objects are pointed out. In particular, the statistical distributions for different bosonic and fermionic…

High Energy Physics - Theory · Physics 2009-10-22 M. Chaichian , R. Gonzales Felipe , C. Montonen

We brief{}ly review the connection between statistical mechanics and thermodynamics. We show that, in order to satisfy thermodynamics and its Legendre transformation mathematical frame, the celebrated Boltzmann-Gibbs~(BG) statistical…

Statistical Mechanics · Physics 2014-11-03 Constantino Tsallis , Leonardo J. L. Cirto
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