Fractal behavior of multiplicity fluctuations in high-energy collisions

Hwa, Rudolph C.; Pan, Jicai

doi:10.1103/physrevd.45.1476

Cited by 86 publications

(77 citation statements)

References 9 publications

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“…Experimental evidence of a fractal structure in multiparticle production in HEC were first noticed through the study of intermittence in high-energy distributions [9,10]. The fractal dimension obtained in such analyses was found to be in the range D = 0.45 to 0.65 for pp collisions and e + e − collisions [11][12][13][14][15][16][17][18][19]. The origin of this fractal dimension was attributed to the dynamical process of multiparticle production [20][21][22].…”

Section: The Fractal Structure Of Hadronsmentioning

confidence: 97%

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: The Fractal Structure Of Hadronsmentioning

confidence: 97%

Fractal Structure of Hadrons: Experimental and Theoretical Signatures

Deppman

2017

Universe

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“…The multifractal analysis has been successfully applied in the investigations of various properties of different systems: for particle dustering in the high-energy interactions [18,19] as weil as for the fractal structure of the Universe [20]. Also in cosmic ray physics multifractal studies have been introduced.…”

Section: The Analysis Of Multifractal Momentsmentioning

confidence: 99%

Features of the lateral particle distributions in the core of high-energy extensive air showers from a multifractal moments analysis

Haungs

Kempa

Mathes

et al. 1996

Nuclear Instruments and Methods in Physics Research Section A:

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“…The cumulative variable in the phase space (say ) is defined as [9]: Only events with N S  8 were considered to maximize the contribution of dynamical fluctuations [3]. We have total 951 data events of relativistic shower charged particle (N S ) with mean multiplicity <N S > = 21.34  0.16.…”

Section: Mathematical Toolsmentioning

confidence: 99%

“…Quantum Chromo-dynamics (QCD) describes the strong interactions of quarks and gluons [1]. The experimental observation of large rapidity fluctuations in relativistic heavy ion collisions by R. C. Hwa and J. C. Pan [2], [3] using the method of multifractal moments method, G q , has provided keen interest and excitement in about their nature and origin. Bialas and Peschanski [4], [5] suggested a power law scaling behavior in terms of normalized scaled factorial moments, SFMs (< > ∝ ) on the bin size and described the phenomenon as "intermittency".…”

Section: Introductionmentioning

confidence: 99%

Study of Deconfinement Phase Transition in Heavy Ion Collisions at BNL Energies

Ahmad¹,

Rasool²,

Ahmad³

et al. 2013

IJAPM

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Abstract-The Scaled factorial moments (SFMs) of multiplicity distribution are used to study the deconfinement phase transition in high energy heavy-ion collisions. In the present article we studied the Renyi dimensions and multifractal spectrum in the interaction of 28 S-emulsion collisions at 14.6A GeV to investigate non thermal phase transitions during such collisions.Index Terms-Novel state of matter, quark-gluon plasma (QGP), scaled factorial moments (SFMs). I. INTRODUCTIONDuring last couple of years, different nuclei have been accelerated to relativistic energies and brought to collisions with a great variety of target nuclei. An ultimate aim of studying nucleus -nucleus (A-A) collisions is to investigate for a phenomena connecting with large densities obtained in such nuclear collisions.So due to this one can obtained an opportunity to explore strongly interacting matter at energy densities unprecedented in a laboratory, which eventually gives an evidence for the existence of quark-gluon plasma (QGP). The QGP is a novel state of matter in which quarks and gluons are no longer confined to volumes of hadronic dimensions. In deep inelastic scattering experiments, it has already been revealed that quarks at very short distances move freely, which is referred to as the asymptotic freedom. Quantum Chromo-dynamics (QCD) describes the strong interactions of quarks and gluons [1]. The experimental observation of large rapidity fluctuations in relativistic heavy ion collisions by R. C. Hwa and J. C. Pan [2], [3] using the method of multifractal moments method, G q , has provided keen interest and excitement in about their nature and origin. Bialas and Peschanski [4], [5] suggested a power law scaling behavior in terms of normalized scaled factorial moments, SFMs (< > ∝ ) on the bin size and described the phenomenon as "intermittency". The SFMs method cannot only predicts the existence of large non-statistical fluctuations but it could also investigate the pattern of fluctuations and their origin.The main emphasis of the present experimental / statistical work is to explore the second order phase transition, which take place during the relativistic heavy ion collisions, with the help of Renyi dimension, , and multifractal spectrum, Manuscript received March 8, 2013; revised May 16, 2013 ( ). II. EXPERIMENTAL DETAILS AND DATA COLLECTIONIn the present experiment, FUJI nuclear emulsion pellicles were irradiated horizontally with a beam of 28 Si nuclei at 14.6A GeV at Alternating Gradient Synchrophasotron (AGS) of Brookhaven National Laboratory (BNL), NewYork, USA have been used for data collection. The method of line scanning has been adopted to scan the stacks, which was carried out carefully using Japan made NIKON (LABOPHOT and Tc-BIOPHOT) high-resolution microscopes with 8 cm movable stage using 40X objectives and 10X eyepieces by two independent observers, so that the bias in the detection, counting and measurements can be minimized. The interactions due to beam tracks making an angle < 2  to the mean direction and...

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Fractal behavior of multiplicity fluctuations in high-energy collisions

Cited by 86 publications

References 9 publications

Fractal Structure of Hadrons: Experimental and Theoretical Signatures

Fractal Structure of Hadrons: Experimental and Theoretical Signatures

Features of the lateral particle distributions in the core of high-energy extensive air showers from a multifractal moments analysis

Study of Deconfinement Phase Transition in Heavy Ion Collisions at BNL Energies

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