MULTIFRACTALITY AND INTERMITTENCY STUDY OF ULTRARELATIVISTIC 32S–AgBr AND 16O–AgBr INTERACTIONS: FURTHER EVIDENCE OF A NONTHERMAL PHASE TRANSITION

1999 ◽  
Vol 14 (13) ◽  
pp. 2091-2101 ◽  
Author(s):  
DIPAK GHOSH ◽  
ARGHA DEB ◽  
RINI CHATTOPADHYAY ◽  
ABDUL KAYUM JAFRY ◽  
MADHUMITA LAHIRI ◽  
...  
Keyword(s):  
Phase Transition ◽  
New Method ◽  
Medium Energy ◽  
Factorial Moments ◽  
Particle Spectra ◽  
Scaled Factorial Moments ◽  
Fifth Order ◽  
Multifractal Nature

This paper presents an analysis of medium energy target protons emitted in 32 S–AgBr interactions at 200 AGeV and 16 O–AgBr interactions at 60 AGeV in terms of scaled factorial moments up to the fifth order. The study gives evidence of a nonthermal phase transition in the 32 S–AgBr data. The multifractal nature of the particle spectra has also been observed using a new method proposed by F. Takagi.

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

2013 ◽  
Vol 22 (05) ◽  
pp. 1350033 ◽  
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.

Structure Determination of the Nisi2(111) Surface Using Medium Energy Ion Scattering with Monolayer Resolution

1990 ◽  
Vol 202 ◽  
Author(s):  
J. Vrijmoeth ◽  
P.M. Zagwijn ◽  
J.W.M. Frenken ◽  
J.F. van der Veen
Keyword(s):  
Surface Structure ◽  
Structure Determination ◽  
New Method ◽  
Medium Energy ◽  
Ion Scattering ◽  
Triple Layer ◽  
Medium Energy Ion Scattering

ABSTRACTThe surface structure of epitaxial NiSi2 films grown on Si (111) has been determined using a new method. The backscattering signals from subsequent Ni layers in the NiSi2 (111) surface are resolved.The topology of the NiSi2 (111) surface is concluded to be bulklike, i.e., it is terminated by a Si – Ni – Si triple layer.

scholarly journals Synthesis of α-CaSO4·0.5H2O from flue gas desulfurization gypsum regulated by C4H4O4Na2·6H2O and NaCl in glycerol-water solution

RSC Advances ◽  
2017 ◽  
Vol 7 (44) ◽  
pp. 27807-27815 ◽  
Author(s):  
Qing-Jun Guan ◽  
Wei Sun ◽  
Yue-Hua Hu ◽  
Zhi-Gang Yin ◽  
Chang-Ping Guan
Keyword(s):  
Phase Transition ◽  
Flue Gas ◽  
Water Solution ◽  
Flue Gas Desulfurization ◽  
New Method ◽  
Glycerol Water ◽  
Aspect Ratios

A brand new method to prepare α-CaSO4·0.5H2O with low aspect ratios from flue gas desulfurization gypsum in glycerol-water solution was presented, in which NaCl was used as the phase transition accelerator and C4H4O4Na2·6H2O as the crystal modifier.

scholarly journals PHASE TRANSITION IN EVOLUTIONARY GAMES

1999 ◽  
Vol 14 (10) ◽  
pp. 1551-1559 ◽  
Author(s):  
ZHEN CAO ◽  
RUDOLPH C. HWA
Keyword(s):  
Phase Transition ◽  
Critical Region ◽  
Nuclear Physics ◽  
Cooperative Behavior ◽  
Evolutionary Games ◽  
Scaling Exponent ◽  
Factorial Moments ◽  
Physical Systems ◽  
Prisoners Dilemma ◽  
Evolution Dynamics

The evolution of cooperative behavior is studied in the deterministic version of the Prisoners' Dilemma on a two-dimensional lattice. The payoff parameter is set at the critical region 1.8<b<2.0, where clusters of cooperators are formed in all spatial sizes. Using the factorial moments developed in particle and nuclear physics for the study of phase transition, the distribution of cooperators is studied as a function of the bin size covering varying numbers of lattice cells. From the scaling behavior of the moments a scaling exponent is determined and is found to lie in the range where phase transitions are known to take place in physical systems. It is therefore inferred that when the payoff parameter is increased through the critical region the biological system of cooperators undergoes a phase transition to defectors. The universality of the critical behavior is thus extended to include also this particular model of evolution dynamics.

scholarly journals Correlations and Event-by-Event Fluctuations in High Multiplicity Events Produced in 208Pb-208Pb Collisions

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Shakeel Ahmad ◽  
Shaista Khan ◽  
Ashwini Kumar ◽  
Arpit Singh ◽  
A. Ahmad ◽  
...  
Keyword(s):  
Azimuthal Angle ◽  
Correlation Study ◽  
High Multiplicity ◽  
Dimensional Structure ◽  
Two Dimensional ◽  
Factorial Moments ◽  
High Magnitude ◽  
Large Fluctuations ◽  
Dynamical Fluctuations ◽  
Scaled Factorial Moments

Analysis of high multiplicity events produced in 158A GeV/c 208Pb-208Pb collisions is carried out to study the event-by-event fluctuations. The findings reveal that the method of scaled factorial moments can be used to identify the events having densely populated narrow phase space bins. A few events sorted out by adopting this approach are individually analyzed. It is observed that these events do exhibit large fluctuations in their pseudorapidity, η, and azimuthal angle, ϕ, distributions arising due to some dynamical reasons. Two-particle Δη-Δϕ correlation study applied to these events too indicates that some complex two-dimensional structure of significantly high magnitude is present in these events which might have some dynamical origin. The findings reveal that the method of scaled factorial moments may be used as an effective triggering for events with large dynamical fluctuations.

scholarly journals Scaling Properties of Multiplicity Fluctuations in the AMPT Model

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Rohni Sharma ◽  
Ramni Gupta
Keyword(s):  
Phase Transition ◽  
Charged Particles ◽  
Scaling Behavior ◽  
Spatial Distributions ◽  
Scaling Exponents ◽  
Ginzburg Landau ◽  
Multiphase Transport ◽  
Factorial Moments ◽  
Scaling Properties ◽  
Second Order Phase Transition

From the events generated from the MC code of a multiphase transport (AMPT) model with string melting, the properties of multiplicity fluctuations of charged particles in Pb–Pb collisions at sNN = 2.76 TeV are studied. Normalized factorial moments, Fq, of spatial distributions of the particles have been determined in the framework of intermittency. Those moments are found in some kinematic regions to exhibit scaling behavior at small bin sizes, but not in most regions. However, in relating Fq to F2 scaling behavior is found in nearly all regions. The corresponding scaling exponents, ν, determined in the low transverse momentum (pT) region ≤ 1.0 GeV/c are observed to be independent of the pT bin position and width. The value of ν is found to be larger than 1.304, which is the value that characterizes the Ginzburg-Landau type second-order phase transition. Thus there is no known signature for phase transition in the AMPT model. This study demonstrates that, for the system under investigation, the method of analysis is effective in extracting features that are relevant to the question of whether the dynamical processes leading phase transition are there or not.

scholarly journals On a Reduced Cost Higher Order Traub-Steffensen-Like Method for Nonlinear Systems

Symmetry ◽  
2019 ◽  
Vol 11 (7) ◽  
pp. 891 ◽  
Author(s):  
Janak Raj Sharma ◽  
Deepak Kumar ◽  
Lorentz Jäntschi
Keyword(s):  
Order Of Convergence ◽  
Higher Order ◽  
New Method ◽  
Systems Of Nonlinear Equations ◽  
Third Order ◽  
Type Method ◽  
Cpu Time ◽  
Chebyshev’S Method ◽  
Derivative Free ◽  
Fifth Order

We propose a derivative-free iterative method with fifth order of convergence for solving systems of nonlinear equations. The scheme is composed of three steps, of which the first two steps are that of third order Traub-Steffensen-type method and the last is derivative-free modification of Chebyshev’s method. Computational efficiency is examined and comparison between the efficiencies of presented technique with existing techniques is performed. It is proved that, in general, the new method is more efficient. Numerical problems, including those resulting from practical problems viz. integral equations and boundary value problems, are considered to compare the performance of the proposed method with existing methods. Calculation of computational order of convergence shows that the order of convergence of the new method is preserved in all the numerical examples, which is not so in the case of some of the existing higher order methods. Moreover, the numerical results, including the CPU-time consumed in the execution of program, confirm the accurate and efficient behavior of the new technique.

INTERMITTENCY ANALYSIS OF FRAGMENTING NUCLEI WITH EXACT CONSERVATION LAWS

1993 ◽  
Vol 08 (07) ◽  
pp. 1283-1294
Author(s):  
K. HAGLIN ◽  
C. GALE ◽  
S. DAS GUPTA
Keyword(s):  
Monte Carlo ◽  
Conservation Laws ◽  
Thermodynamic Model ◽  
Nuclear Emulsion ◽  
Size Dependence ◽  
Conserved Quantities ◽  
Factorial Moments ◽  
Evaporation Model ◽  
Scaled Factorial Moments ◽  
Intermittency Analysis

We show that the speculative charge bin size dependence of the scaled factorial moments for fragmenting nuclei in recent nuclear emulsion data may be attributed in part to simple conservation laws. Monte Carlo results from both the Thermodynamic Model and an Evaporation Model suggest that in such studies most or all of the effect is due to the fact that there exist constraints owing to conserved quantities.

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