INTERMITTENCY IN 4.5A AND 14.5A GeV/c28Si-NUCLEUS INTERACTIONS

The occurrence of intermittent patterns in 14.5 A GeV/c 28 Si -nucleus interactions is examined in terms of Scaled Factorial Moments (SFMs), introduced by Bialas and Peschanski. Further, to examine the dependence of various interesting characteristics of SFMs on incident energy, the data on 4.5 A GeV/c 28 Si -nucleus collisions available in our laboratory are analyzed. Interestingly, log-log plots between rapidity interval δη and the qth order factorial moment Fq for both the energies exhibit linear behavior indicating thereby the presence of intermittency in the interactions investigated. Moreover, to look at the fractal nature of the particle emitting sources, variation of the fractal dimensions, dq with the order of the moment is investigated. Finally, study of the variation of λq [=(ϕq+1)/q)] with the order of the moment, q indicates a possibility of non-thermal phase transition in certain types of events

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EVIDENCE OF THE NON-THERMAL PHASE TRANSITION IN THE EMISSION OF SLOW TARGET RESIDUE IN 28Si–AgBr INTERACTIONS AT 14.5 AGeV

International Journal of Modern Physics E ◽

10.1142/s0218301304002387 ◽

2004 ◽

Vol 13 (04) ◽

pp. 737-745 ◽

Cited By ~ 8

Author(s):

DIPAK GHOSH ◽

ARGHA DEB ◽

SWARNAPRATIM BHATTACHARYYA ◽

JAYITA GHOSH

Keyword(s):

Phase Transition ◽

Azimuthal Angle ◽

Factorial Moment ◽

Target Fragmentation ◽

Thermal Phase Transition ◽

Thermal Phase ◽

Angle Space

This paper reports an investigation on the occurrence of the non-thermal phase transition in the target fragmentation of 28 Si – AgBr interactions at 14.5 AGeV in azimuthal angle space using the method of factorial moment. Clear evidence of the non-thermal phase transition is obtained.

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Intermittency Study of Charged Particles Generated in Pb-Pb Collisions at sNN=2.76 TeV Using EPOS3

Advances in High Energy Physics ◽

10.1155/2020/5073042 ◽

2020 ◽

Vol 2020 ◽

pp. 1-8

Author(s):

Ramni Gupta ◽

Salman Khurshid Malik

Keyword(s):

Landau Theory ◽

Fractal Dimensions ◽

Particle Multiplicity ◽

Charged Particle Multiplicity ◽

Scaling Exponent ◽

Ginzburg Landau ◽

Factorial Moments ◽

Particle Generation ◽

The Moment ◽

Multifractal Nature

Charged particle multiplicity fluctuations in Pb-Pb collisions are studied for the central events generated using EPOS3 (hydro and hydro+cascade) at sNN=2.76 TeV. Intermittency analysis is performed in the midrapidity region in two-dimensional (η, ϕ) phase space within the narrow transverse momentum (pT) bins in the low pT region (pT≤1.0 GeV/c). Power-law scaling of the normalized factorial moments with the number of bins is not observed to be significant in any of the pT bins. Scaling exponent ν, deduced for a few pT bins, is greater than that of the value 1.304, predicted for the second-order phase transition by the Ginzburg-Landau theory. The link in the notions of fractality is also studied. Generalized fractal dimensions, Dq, are observed to decrease with the order of the moment q suggesting the multifractal nature of the particle generation in EPOS3.

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SELF-AFFINE SCALING AND NON-THERMAL PHASE TRANSITION IN TARGET FRAGMENTS OF MUON–NUCLEUS INTERACTIONS AT HIGH ENERGY

Modern Physics Letters A ◽

10.1142/s0217732307022293 ◽

2007 ◽

Vol 22 (23) ◽

pp. 1759-1768 ◽

Cited By ~ 1

Author(s):

DIPAK GHOSH ◽

ARGHA DEB ◽

PRABIR KUMAR HALDAR ◽

SYED IMTIAZ AHMED ◽

PARTHASARATHI GHOSH

Keyword(s):

Phase Transition ◽

Hurst Exponent ◽

Factorial Moment ◽

High Energy ◽

Affine Scaling ◽

Thermal Phase Transition ◽

Anisotropic Scaling ◽

Thermal Phase ◽

Dynamical Fluctuation ◽

Anisotropic Phase

In this paper non-thermal phase transition for the target fragments of lepton–nucleus interactions at (420±45) GeV is studied in the framework of two-dimensional factorial moment methodology using the concept of Hurst exponent (H) to take care of anisotropic phase space. An indication of non-thermal phase transition is obtained where the anisotropic scaling behavior (self affinity) of dynamical fluctuation is best revealed (H = 0.8).

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Factorial moments in high-multiplicity events in 800 GeV proton interactions with AgBr nuclei

Canadian Journal of Physics ◽

10.1139/p93-050 ◽

1993 ◽

Vol 71 (7-8) ◽

pp. 316-321

Author(s):

R. K. Shivpuri ◽

V. K. Verma

Keyword(s):

Phase Transitions ◽

Power Law ◽

Nuclear Emulsion ◽

High Multiplicity ◽

Factorial Moments ◽

Secondary Particles ◽

The Third ◽

The Moment ◽

Scaled Factorial Moments

The scaled factorial moments were investigated for secondary particles in high-multiplicity events produced by 800 GeV proton interactions with AgBr nuclei in a nuclear emulsion. The results show clear evidence for power-law behavior of scaled factorial moments. The variation of dimension as a function of order of the moment was also studied. The presence of phase transitions is not indicated from our data. From the behavior of the third-differential moment, we do not find any evidence for the clustering of particles in any pseudorapidity region.

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Intermittency Approach in the Nuclear Collisions of 28Si + AgBr at 14.6A GeV - Nuclear Emulsion Experiment a Particle Detector

European Journal of Interdisciplinary Studies ◽

10.26417/ejis.v7i2.p127-133 ◽

2017 ◽

Vol 7 (2) ◽

pp. 127

Author(s):

Mohammad Ayaz Ahmad

Keyword(s):

Charged Particles ◽

Factorial Moment ◽

Simulated Data ◽

Particle Detector ◽

Factorial Moments ◽

Nuclear Collisions ◽

Statistical Fluctuations ◽

Urqmd Model ◽

Scaled Factorial Moments ◽

Good Agreement

A new method has been applied for the study of intermittency in the collisions of 28Si + AgBr at 14.6 A GeV for the produced relativistic charged particles by using the method of mixed factorial moment (MFM). In this paper an analysis has been made for the presence of fractal behavior with three different approaches of Scaled factorial Moments (SFMs) named as- horizontal, vertical and mixed (horizontal and vertical together). The non-statistical fluctuations of relativistic charged particles have been calculated on events with different degree of centrality. These results have been compared with the results of simulated data obtained from UrQMD model and we find a good agreement between experimental data and simulated data.

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DYNAMICS OF FRACTALITY AND PHASE TRANSITION IN MULTIPARTICLE PRODUCTION IN RELATIVISTIC NUCLEUS–NUCLEUS COLLISIONS

International Journal of Modern Physics E ◽

10.1142/s021830131350033x ◽

2013 ◽

Vol 22 (05) ◽

pp. 1350033 ◽

Cited By ~ 1

Author(s):

ARSHAD KAMAL ◽

N. AHMAD ◽

M. M. KHAN ◽

M. I. HAQUE ◽

M. ZAFAR ◽

...

Keyword(s):

Phase Transition ◽

Critical Value ◽

Data Sets ◽

Scaling Exponent ◽

Factorial Moments ◽

Universal Scaling ◽

Average Value ◽

Thermal Phase ◽

Scaled Factorial Moments ◽

Second Order Phase Transition

This paper reports the results of an investigation regarding occurrence of second-order phase transition in 14.5A GeV /c28 Si -nucleus interactions using the method of scaled factorial moments. Incidentally, the value of the universal scaling exponent, ν, for our experimental data is found to be 1.224±0.068, which is quite close to its critical value 1.304. An attempt is also made to search for the evidence of phase transition in terms of Levy index, μ, using scaled factorial moments as well as Takagi moments for both experimental and FRITIOF generated data sets. Average value of μ, calculated from Fq moments, turns out to be more than unity but is less than unity when estimated in terms of Takagi moments for both the data sets. Thus the analyses carried out in terms of Fq and Takagi moments reveal the occurrence of nonthermal and thermal phase transitions, respectively.

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