Axiomatic nonextensive statistics at NICA energies

Tawfik, A.

doi:10.1140/epja/i2016-16253-4

Cited by 17 publications

(9 citation statements)

References 33 publications

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“…A general mismatch between the STAR experiment at √ s NN = 7.7 GeV and the simulations at E lab = 30 A GeV that we see in the K/π and K/p ratios in figure 1, may be attributed to inefficient kaon generation by the model(s) at the collision energy concerned. This feature of the UrQMD and AMPT models has been observed in other investigations too [43][44][45]. Both the NA49 and STAR experiments on the other hand show enhanced K-production respectively at E lab = 30 A and √ s NN = 7.7 GeV.…”

Section: Resultssupporting

confidence: 82%

Dynamical particle ratio fluctuations in Au + Au interaction at E _lab = 30 A GeV using transport models

Ghosh¹,

Pal²,

Mukhopadhyay³

et al. 2021

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

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We present a simulation study on the dynamical fluctuations of conserved charges in a baryon-rich environment that is expected to be created in high-energy nucleus–nucleus (AB) collisions. Microscopic transport models like the ultra-relativistic quantum molecular dynamics and a multi-phase transport model are used to generate Au + Au collision events at an incident beam energy of 30 A GeV in the laboratory system. We investigate the centrality and rapidity window size dependence of the event-by-event (e-by-e) fluctuations of the multiplicity ratios of particles belonging to different species. It is observed that e-by-e dynamical fluctuations in the K/π, K/p and π/p ratios diminish with increasing centrality. Our results in this regard indicate that an AB collision can not be viewed as a mere superposition of many incoherent nucleon–nucleon (NN) collisions. Similarly, due to diffusion process the dynamical fluctuations get diluted with increasing window size of rapidity. The simulation results in general could be interpreted in terms of conventional mechanisms of particle production like resonance decays. Our simulation based analysis provides a useful reference baseline to the compressed baryonic matter experiment to be held at the Facility for Antiproton and Ion Research (FAIR).

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Section: Resultssupporting

confidence: 82%

Dynamical particle ratio fluctuations in Au + Au interaction at E _lab = 30 A GeV using transport models

Ghosh¹,

Pal²,

Mukhopadhyay³

et al. 2021

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

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“…Second, such a statistical fit seems to disbelieve the role of statistical cluster decay, which can be scaled as power laws very similar to that from Tsallis statistics. This simply means that the decay of statistical clusters is conjectured to be capable of explaining the excellent reproduction of the measured transverse momenta rather than the Tsallis-type nonextensivity [15]. Also, Bialas [16] presented within the statistical cluster-decay model a numerical analysis for the hadronization processes.…”

Section: Introductionmentioning

confidence: 99%

“…These are based on the conjecture that replacing the Boltzmann factor by the q-exponential function of Tsallis statistics, with q > 1, leads to a good agreement with the experimental measurements at high energies. Recently, Tawfik explained that this method seems to fail to assure a full incorporation of nonextensivity because fluctuations, correlations, interactions among the produced particles besides the possible modification in the phase space of such an interacting system are not properly taken into account [15]. Again, the Tsallis distribution was widely applied to describe the hadron production [8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

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On thermodynamic self-consistency of generic axiomatic-nonextensive statistics

Tawfik

Yassin²,

Elyazeed

2017

Chinese Phys. C

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Generic axiomatic-nonextensive statistics characterized by two asymptotic properties, to each of them a scaling function is assigned, characterized by the exponents c and d for first and second scaling property, respectively, is formulated in a grand-canonical ensemble with finite volume in the thermodynamic limit. The thermodynamic properties of a relativistic ideal gas of hadron resonances are studied, analytically. It is found that this generic statistics satisfies the requirements of the equilibrium thermodynamics. Essential aspects of the thermodynamic self-consistency are clarified. Analytical expressions are proposed for the statistical fits of various transverse momentum distributions measured in most-central collisions at different collision energies and colliding systems. Estimations for the freezeout temperature (Tch) and the baryon chemical potential (µb) and the exponents c and d are determined. The earlier are found compatible with the parameters deduced from Boltzmann-Gibbs (BG) statistics (extensive), while the latter refer to generic nonextensivities. The resulting equivalence class (c, d) is associated to stretched exponentials, where Lambert function reaches its asymptotic stability. In some measurements, the resulting nonextensive entropy is linearly composed on extensive entropies. Apart from power-scaling, the particle ratios and yields are excellent quantities to highlighting whether the particle production takes place, (non)extensively. Various particle ratios and yields measured by the STAR experiment in central collisions at 200, 62.4 and 7.7 GeV are fitted with this novel approach. We found that both c and d < 1, i.e. referring to neither BG-nor Tsallis-type statistics, but to (c, d)-entropy, where Lambert functions exponentially raise. The freezeout temperature and baryon chemical potential are found comparable with the ones deduced from BG statistics (extensive). We conclude that the particle production at STAR energies is likely a nonextensive process but not necessarily BG or Tsallis type.

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“…To this end, anomalies in production and annihilation of certain particles (such as proron anomaly) and/or non-extensive statistical approaches (such as the Tsallis types) have been proposed to be applied to LHC energies. Despite the great success of our generic (non-)extensive statistical approach [13][14][15], which we discuss briefly while concluding the overall message of the present paper, we assume that the pions [7,8], the lowlying Nambu-Goldstone bosons, are the produced particles which significantly affect both bulk and flow properties of the other particles produced in collsions at LHC nergies. We recall the assumption, which originally dates back to three decades, that the production of pion particles takes place out of a non-equilibrium process [16].…”

mentioning

confidence: 88%

Particle yields and ratios within equilibrium and non-equilibrium statistics

Tawfik¹,

Yassin²,

Elyazeed³

2019

EPL

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In characterizing the yields and ratios various of well identified particles in the ALICE experiment, we utilize extensive additive thermal approaches, to which various missing states of the hadron resonances are taken into consideration, as well. Despite some non-equilibrium conditions that are slightly driving this statistical approach away from equilibrium, the approaches are and remain additive and extensive. Besides van der Waals repulsive interactions (assuming that the gas constituents are no longer point-like, i.e. finite-volume corrections taken into consideration), finite pion chemical potentials as well as perturbations to the light and strange quark occupation factors are taken into account.When confronting our calculations to the ALICE measurements, we conclude that the proposed conditions for various aspects deriving the system out of equilibrium notably improve the reproduction of the experimental results, i.e. improving the statistical fits, especially the finite pion chemical potential. This points out to the great role that the non-equilibrium pion production would play, and the contributions that the hadron resonance missing states come up with, even when the principles of statistical extensivity and additivity aren't violated. These results seem to propose revising the conclusions propagated by most of the field, that the produced particles quickly reach a state of local equilibrium leading to a collective expansion often described by fluid dynamics. This situation seems not remaining restrictively valid, at very large collision energies.

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Axiomatic nonextensive statistics at NICA energies

Cited by 17 publications

References 33 publications

Dynamical particle ratio fluctuations in Au + Au interaction at E _lab = 30 A GeV using transport models

Dynamical particle ratio fluctuations in Au + Au interaction at E _lab = 30 A GeV using transport models

On thermodynamic self-consistency of generic axiomatic-nonextensive statistics

Particle yields and ratios within equilibrium and non-equilibrium statistics

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Axiomatic nonextensive statistics at NICA energies

Cited by 17 publications

References 33 publications

Dynamical particle ratio fluctuations in Au + Au interaction at E lab = 30 A GeV using transport models

Dynamical particle ratio fluctuations in Au + Au interaction at E lab = 30 A GeV using transport models

On thermodynamic self-consistency of generic axiomatic-nonextensive statistics

Particle yields and ratios within equilibrium and non-equilibrium statistics

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Product

Resources

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Dynamical particle ratio fluctuations in Au + Au interaction at E _lab = 30 A GeV using transport models

Dynamical particle ratio fluctuations in Au + Au interaction at E _lab = 30 A GeV using transport models