Description of high-energy<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math>collisions using Tsallis thermodynamics: Transverse momentum and rapidity distributions

Marques, Lucas Murrins; Cleymans, J.; Deppman, A.

doi:10.1103/physrevd.91.054025

Cited by 133 publications

(155 citation statements)

References 38 publications

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“…All the results approach Hagedorn's results as q → 1. The resulting values for q and T support the above findings of a constant temperature and entropic index, regardless of the collision energy (as long as it is above approximately 1 TeV) or the particle species [44][45][46][47][48][49][50][51][52][53][54][55][56][57].…”

Section: Non-extensive Self-consistent Thermodynamicsmentioning

confidence: 49%

Fractal Structure of Hadrons: Experimental and Theoretical Signatures

Deppman

2017

Universe

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Abstract:One important ingredient in the study of cosmological evolution is the equation of state of the primordial matter formed in the first stages of the Universe. It is believed that the first matter produced was of hadronic nature, probably the quark-gluon plasma which has been studied in high-energy collisions. There are several experimental indications of self-similarity in hadronic systems-in particular in multiparticle production at high energies. Theoretically, this property was associated with the dynamics of particle production, but it is also possible to relate self-similarity to the hadron structure-in particular to a fractal structure of this system. In doing so, it is found that the thermodynamics of hadron systems at equilibrium must present specific properties that are indeed supported by data. In particular, the well-known self-consistence principle proposed by Hagedorn 50 years ago is shown to be valid, and can correctly describe experimental distributions, mass spectrum of observed particles, and other properties of the hadronic matter. In the present work, a review of the theoretical developments related to the thermodynamical properties of hadronic matter and its applications in other fields is presented.

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Section: Non-extensive Self-consistent Thermodynamicsmentioning

confidence: 49%

Fractal Structure of Hadrons: Experimental and Theoretical Signatures

Deppman

2017

Universe

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“…It was shown in recent publications that fits based on the Tsallis distribution [1] give a good description of transverse momentum distributions of charged particles measured in p-p collisions at the LHC [2][3][4][5][6][7][8][9][10]. Some of these fits extend to values of p T up to 200 GeV/c [11][12][13][14][15] and provide an excellent description over 14 orders of magnitude in the transverse momentum spectrum.…”

Section: Introductionmentioning

confidence: 99%

The Parameters of The Tsallis Distribution at the LHC

et al. 2017

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Abstract. This talk focuses on fits, using the Tsallis distribution, extending to very large values of the transverse momentum of charged particles in p-p collisions and on the energy dependence of the parameters. A thermodynamically consistent form of the distribution is used for fitting the transverse momentum spectra at mid-rapidity. The fits based on the proposed distribution provide a very good description over 14 orders of magnitude. The parameters obtained show a smooth increase in the value of q and a corresponding smooth decrease in the value of T with increasing beam energy.

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“…This q-generalized thermostatistical theory has been useful in the study of a considerable number of physical systems, including long-range-interacting many-body Hamiltonian systems [11][12][13][14], low-dimensional dynamical systems [15][16][17][18][19], cold atoms [20][21][22], plasmas [23,24], trapped atoms [25], spin-glasses [26], power-law anomalous diffusion [27,28] and granular matter [29], high-energy particle collisions [30][31][32][33], black holes and cosmology [34,35], chemistry [36], economics [37][38][39], earthquakes [40], biology [41,42], solar wind [43,44], anomalous diffusion and central limit theorems [45][46][47][48][49][50][51][52][53], quantum entangled and non-entangled systems [54,55], quantum chaos [56], astronomic...…”

Section: Introductionmentioning

confidence: 99%

Nonlinear q-Generalizations of Quantum Equations: Homogeneous and Nonhomogeneous Cases—An Overview

Nobre

Rego-Monteiro

Tsallis

2017

Entropy

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Recent developments on the generalizations of two important equations of quantum physics, namely the Schroedinger and Klein-Gordon equations, are reviewed. These generalizations present nonlinear terms, characterized by exponents depending on an index q, in such a way that the standard linear equations are recovered in the limit q → 1. Interestingly, these equations present a common, soliton-like, traveling solution, which is written in terms of the q-exponential function that naturally emerges within nonextensive statistical mechanics. In both cases, the corresponding well-known Einstein energy-momentum relations, as well as the Planck and the de Broglie ones, are preserved for arbitrary values of q. In order to deal appropriately with the continuity equation, a classical field theory has been developed, where besides the usual Ψ( x, t), a new field Φ( x, t) must be introduced; this latter field becomes Ψ * ( x, t) only when q → 1. A class of linear nonhomogeneous Schroedinger equations, characterized by position-dependent masses, for which the extra field Φ( x, t) becomes necessary, is also investigated. In this case, an appropriate transformation connecting Ψ( x, t) and Φ( x, t) is proposed, opening the possibility for finding a connection between these fields in the nonlinear cases. The solutions presented herein are potential candidates for applications to nonlinear excitations in plasma physics, nonlinear optics, in structures, such as those of graphene, as well as in shallow and deep water waves.

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Description of high-energyppcollisions using Tsallis thermodynamics: Transverse momentum and rapidity distributions

Cited by 133 publications

References 38 publications

Fractal Structure of Hadrons: Experimental and Theoretical Signatures

Fractal Structure of Hadrons: Experimental and Theoretical Signatures

The Parameters of The Tsallis Distribution at the LHC

Nonlinear q-Generalizations of Quantum Equations: Homogeneous and Nonhomogeneous Cases—An Overview

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