Fractal analysis of pseudorapidity fluctuations in 4.5 A GeV/c C-(Ne, Cu) central collisions

Sarkisyan, E. K.G.; Gelovani, L.K.; Taran, G.G.; Sakharov, G.I.

doi:10.1016/0370-2693(93)91557-4

Cited by 13 publications

(12 citation statements)

References 35 publications

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“…Here g(δη) is the model-dependent function of F 2 , so that φ q = r q φ 2 . The conclusion agrees with the earlier observations [37] and shouts to one another obtained in hadronic interactions [41]. Thus all used model approximations, being based on the second order moments, indicate multiparticle character of the dynamical fluctuations at (possible) non-thermal (peak) phase transition.…”

Section: Resultssupporting

confidence: 91%

“…In the previous ref. [37] we have shown that at the values of ϕ q closed to the experimentally obtained ones, the absolute values of the SFM approach each other when the shape of the η-spectra is accounted for. From this observation and the noted "central property" of the NBD the satisfactory agreement of the moments based on (7) with the experimentally measured ones in the "flat" spectra over the scaled variable (4) have been predicted.…”

Section: Resultssupporting

confidence: 54%

“…The study [36,37] also showed multifractality of the particle spectra along with multiparticle character of the fluctuations being important to choice of the real particle-production model, as discussed. Multifractality have been also observed at ultra-relativistic heavy-ion collisions but obliged mainly to the two-particle correlations [2,3].…”

Section: Methodsmentioning

confidence: 99%

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On dynamics of pseudorapidity fluctuations in central CCu collisions at 4.5 A GeV/c

Sarkisyan¹,

Gelovani²,

Gogiberidze³

et al. 1995

Physics Letters B

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Results on dynamical fluctuations of charged particles in the pseudorapidity space of central C-Cu interactions at 4.5 A GeV/c are performed in the transformed variables and using higher order scaled factorial moments modifyied to remove the bias of infinite statistics in the normalization. The intermittency behavior is found up to eighth order of the moments increasing with the order and leading to the pronounced multifractality. Two differed intermittent-like rises are obtained, one indicating an occurrence of the non-thermal phase transition, and no critical behavior is found to be reached in another case. The observations may be treated to show different regimes of particle production during the cascade. Comparison with some conventional model approximations notes the multiparticle character of the fluctuations. The results presented can be effective in sense of sensitivity of intermittency to the hadronization phase.

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Section: Resultssupporting

confidence: 91%

Section: Resultssupporting

confidence: 54%

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On dynamics of pseudorapidity fluctuations in central CCu collisions at 4.5 A GeV/c

Sarkisyan¹,

Gelovani²,

Gogiberidze³

et al. 1995

Physics Letters B

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“…From the thermofractal structure one can obtain the fractal dimension of hadrons, what was done in ref. [21], resulting in D = 0.69, a value that is close to that resulting from intermittence analysis, around D = 0.65 [91][92][93][94][95][96]. For a more complete description of intermittency and its application to HEP, see refs.…”

Section: Intermittencysupporting

confidence: 65%

Fractal Structures of Yang–Mills Fields and Non-Extensive Statistics: Applications to High Energy Physics

Deppman

Megías

Menezes

2020

Physics

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In this work, we provide an overview of the recent investigations on the non-extensive Tsallis statistics and its applications to high energy physics and astrophysics, including physics at the Large Hadron Collider (LHC), hadron physics, and neutron stars. We review some recent investigations on the power-law distributions arising in high energy physics experiments focusing on a thermodynamic description of the system formed, which could explain the power-law behavior. The possible connections with a fractal structure of hadrons is also discussed. The main objective of the present work is to delineate the state-of-the-art of those studies and show some open issues that deserve more careful investigation. We propose several possibilities to test the theory through analyses of experimental data.

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“…Equations ( 34), (35) and other ones obtained with q = 4, 5, ... are analogous to the preceding case (compare with ( 18) and ( 19)). Let us add that also in this case, if the effective average multiplicity N (F ),(V ) 0…”

Section: Vertical Momentssupporting

confidence: 55%

High Energy Density Fluctuations in Terms of Factorial Moments and Associated Frequency Moments

Blažek

1997

Int. J. Mod. Phys. A

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We propose to verify relations between quantities which characterize scaling properties of high energy density fluctuations in terms of factorial moments and newly introduced associated frequency moments. Typical examples are presented in frame of systematics developed in the present paper. It involves also several sorts of moments applied so far in the search for intermittency and multifractality. Our approach takes the advantage of relations in which a linear combination of associated frequency moments reduces statistical fluctuations to the same extent as it is done by corresponding factorial moments.

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Fractal analysis of pseudorapidity fluctuations in 4.5 A GeV/c C-(Ne, Cu) central collisions

Cited by 13 publications

References 35 publications

On dynamics of pseudorapidity fluctuations in central CCu collisions at 4.5 A GeV/c

On dynamics of pseudorapidity fluctuations in central CCu collisions at 4.5 A GeV/c

Fractal Structures of Yang–Mills Fields and Non-Extensive Statistics: Applications to High Energy Physics

High Energy Density Fluctuations in Terms of Factorial Moments and Associated Frequency Moments

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