Non-extensive approach to quark matter

Biro, T.S.; Purcsel, G.; Ürmössy, Károly

doi:10.1140/epja/i2009-10806-6

Cited by 195 publications

(247 citation statements)

References 25 publications

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“…Therefore, resigning from the assumption of additivity in this case and introducing a description based on the nonextensive approach, which, according to [8], can be understood as containing some residual interactions between considered objects (here quarks) seems to be an interesting and promising possibility.…”

Section: Is Formulated In the Grandmentioning

confidence: 99%

“…This was confirmed in [7] when investigating transverse momenta distributions in heavy ion collisions, namely the gradual accounting for the intrinsic dynamical fluctuations in the hadronizing system by switching from pure statistical approach to the modified Hagedorn formula including temperature fluctuations [7], resulted in sizeable decreasing ‡ Applications of the nonextensive approach are numerous and cover all branches of physics [3]. For those in high energy multiparticle production processes see [4,6,7] whereas [5,8,9] deal with different aspects of nuclear and quark matter. The nonextensive framework can also be derived from a special treatment of kinetic theory investigating complex systems in their nonequilibrium stationary states [8,10,11].…”

Section: Introductionmentioning

confidence: 99%

“…For those in high energy multiparticle production processes see [4,6,7] whereas [5,8,9] deal with different aspects of nuclear and quark matter. The nonextensive framework can also be derived from a special treatment of kinetic theory investigating complex systems in their nonequilibrium stationary states [8,10,11]. In [12] one can find updated discussion of power-law tailed distributions emerging from an maximum entropy principle.…”

Section: Introductionmentioning

confidence: 99%

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Nonextensive effects in the Nambu–Jona-Lasinio model of QCD

Rożynek¹,

Wilk²

2009

J. Phys. G: Nucl. Part. Phys.

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Abstract. We present a nonextensive version of the QCD-based Nambu -JonaLasinio (NJL) model of a many-body field theory describing the behavior of strongly interacting matter. It is based on the nonextensive generalization of Boltzmann-Gibbs (BG) statistical mechanics used in the NJL model, which was taken in the form proposed by Tsallis characterized by a dimensionless nonextensivity parameter q (for q → 1 one recovers the usual BG case). This new phenomenological parameter accounts summarily for all possible effects resulting in a departure from the conditions required by application of the BG approach, and allows for a simple phenomenological check of the sensitivity of the usual NJL model to such effects (in particular to fluctuations of temperature and correlations in a system of quarks). As an example, we discuss the sensitivity of such a q-NJL model to the departures from the NJL form, both for q > 1 and q < 1 cases, for such observables as the temperature dependencies of chiral symmetry restoration, masses of π and σ mesons and characteristic features of spinodal decomposition.

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Section: Is Formulated In the Grandmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonextensive effects in the Nambu–Jona-Lasinio model of QCD

Rożynek¹,

Wilk²

2009

J. Phys. G: Nucl. Part. Phys.

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“…However, closer inspection of both approaches reveals that corresponding nonextensivity parameters (say and , respectively) are not the same, in fact one encounters a sort of duality, like = 2 − discussed, for example, in [10,11,39]. We shall now address this problem in more detail on the example of nonadditivity observed in nuclear collisions where, as we shall see, both types of can be discussed and (in principle) compared at the same time 7 .…”

Section: Nonadditivity In Nuclear Collisions (On the Duality In Nonexmentioning

confidence: 93%

“…The conclusion of [6,7] was reinforced by a more refined analysis in [10,11] and generalized in [2] by additionally allowing for the heat bath to exchange energy with its surroundings. One then gets the same Tsallis distribution as before, but with a -dependent effective temperature, T = T + ( − 1)T * , replacing T in Eq.…”

Section: Introductionmentioning

confidence: 99%

The imprints of superstatistics in multiparticle production processes

Wilk

Włodarczyk

2012

Open Physics

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Abstract:We provide an update of the overview of imprints of Tsallis nonextensive statistics seen in a multiparticle production processes. They reveal an ubiquitous presence of power law distributions of different variables characterized by the nonextensivity parameter > 1. In nuclear collisions one additionally observes adependence of the multiplicity fluctuations reflecting the finiteness of the hadronizing source. We present sum rules connecting parameters obtained from an analysis of different observables, which allows us to combine different kinds of fluctuations seen in the data and analyze an ensemble in which the energy (E), temperature (T) and multiplicity (N) can all fluctuate. This results in a generalization of the so called Lindhard's thermodynamic uncertainty relation. Finally, based on the example of nucleus-nucleus collisions (treated as a quasi-superposition of nucleon-nucleon collisions) we demonstrate that, for the standard Tsallis entropy with degree of nonextensivity < 1, the corresponding standard Tsallis distribution is described by = 2 − > 1.

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An Energy Independent Scaling of Transverse Momentum Spectra of Direct (Prompt) Photons from Two‐Body Processes in High‐Energy Proton–Proton Collisions

et al. 2022

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Transverse momentum spectra of direct (prompt) photons from two-body processes in high-energy proton-proton (p+p) collisions are analyzed in this paper. The experimental invariant cross-sections are collected at mid-rapidity in p+p collisions measured by the UA6, CCOR, R806, R110, PHENIX, NA24, CMS, ALICE, and ATLAS Collaborations over a center-of-mass energy range from 24.3 GeV to 13 TeV. In fitting the data, different kinds of functions are used which include the revised Tsallis-Pareto-type function (the TP-like function) at the particle level, the convolution of two TP-like functions at the quark level, and the root-sum-of-squares of two revised Tsallis-like functions in which the quark chemical potentials 𝝁 i = 𝝁 B ∕3 or 𝝁 i = 0, where 𝝁 B is the baryon chemical potential. The values of three main free parameters have been extracted: the effective temperature T, power index n 0 (or entropy index q), and correction index a 0 . After analyzing the changing trends of the parameters, it is found that T, q, and a 0 increase and n 0 decreases with the increase of collision energy. Based on the analyses of transverse momentum spectra, an energy independent scaling, that is, the x T scaling, is obtained.

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Non-extensive approach to quark matter

Cited by 195 publications

References 25 publications

Nonextensive effects in the Nambu–Jona-Lasinio model of QCD

Nonextensive effects in the Nambu–Jona-Lasinio model of QCD

The imprints of superstatistics in multiparticle production processes

An Energy Independent Scaling of Transverse Momentum Spectra of Direct (Prompt) Photons from Two‐Body Processes in High‐Energy Proton–Proton Collisions

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