scholarly journals Study of Void Probability Scaling of Singly Charged Particles Produced in Ultrarelativistic Nuclear Collision in Fractal Scenario

2016 ◽  
Vol 2016 ◽  
pp. 1-5 ◽  
Author(s):  
Susmita Bhaduri ◽  
Dipak Ghosh
Keyword(s):  
Probability Distribution ◽  
Window Size ◽  
Nuclear Collision ◽  
Visibility Graph ◽  
Scaling Exponent ◽  
Quantitative Parameter ◽  
200 Gev ◽  
Strong Scaling ◽  
Singly Charged ◽  
Rigorous Method

We study the fractality of void probability distribution measured inS32-Ag/Br interaction at an incident energy of 200 GeV per nucleon. A radically different and rigorous method calledVisibility Graphanalysis is used. This method is shown to reveal a strong scaling character of void probability distribution in all pseudorapidity regions. The scaling exponent, called the Power of the Scale-Freeness in Visibility Graph (PSVG), a quantitative parameter related to Hurst exponent, is strongly found to be dependent on the rapidity window size.

Fractal study of pion void probability distribution in ultrarelativistic nuclear collision and its target dependence

2016 ◽  
Vol 31 (27) ◽  
pp. 1650158 ◽  
Author(s):  
Susmita Bhaduri ◽  
Dipak Ghosh
Keyword(s):  
Probability Distribution ◽  
Production Process ◽  
Particle Production ◽  
Azimuthal Angle ◽  
High Energy ◽  
Nuclear Collision ◽  
Visibility Graph ◽  
Scaling Behavior ◽  
200 Gev ◽  
Visibility Graph Analysis

There are numerous existing works on investigating the dynamics of particle production process in ultrarelativistic nuclear collision. In the past, fluctuation of spatial pattern has been analyzed in terms of the scaling behavior of voids. But analysis of the scaling behavior of the void in fractal scenario has not been explored yet. In this work, we have analyzed the fractality of void probability distribution with a completely different and rigorous method called visibility graph analysis, analyzing the void-data produced out of fluctuation of pions in [Formula: see text]S–AgBr interaction at 200 GeV in pseudo-rapidity [Formula: see text] and azimuthal angle [Formula: see text] space. The power of scale-freeness of visibility graph denoted by PSVG is a measure of fractality, which can be used as a quantitative parameter for the assessment of the state of chaotic system. As the behavior of particle production process depends on the target excitation, we can dwell down the void probability distribution in the event-wise fluctuation resulted out of the high energy interaction for different degree of target excitation, with respect to the fractal scenario and analyze the scaling behavior of the voids. From the analysis of the PSVG parameter, we have observed that scaling behavior of void probability distribution in multipion production changes with increasing target excitation. Since visibility graph method is a classic method of complex network analysis, has been applied over fractional Brownian motion (fBm) and fractional Gaussian noises (fGn) to measure the fractality and long-range dependence of a time series successfully, we can quantitatively confirm that fractal behavior of the void probability distribution in particle production process depends on the target excitation.

Transverse-energy distribution in proton–nucleus collisions at high energy

2001 ◽  
Vol 79 (4) ◽  
pp. 739-748
Author(s):  
F -H Liu
Keyword(s):  
Experimental Data ◽  
Energy Loss ◽  
Energy Distribution ◽  
Transverse Energy ◽  
High Energy ◽  
Nuclear Collision ◽  
200 Gev ◽  
Transverse Energy Distribution

Based on the model of nuclear-collision geometry, the independent N–N collision picture and participant contribution picture are used to describe the transverse-energy distribution in p–A collisions at high energy. In the independent N–N collision picture, the energy loss of leading proton in each p–N collision is considered. The calculated results are in agreement with the experimental data of p–Al, p–Cu, and p–U collisions at 200 GeV/c. PACS Nos.: 13.85-t, 13.85Hd, 25.75-q

scholarly journals Properties of quantum stochastic walks from the asymptotic scaling exponent

2018 ◽  
Vol 18 (3&4) ◽  
pp. 181-197
Author(s):  
Krzysztof Domino ◽  
Adam Glos ◽  
Mateusz Ostaszewski ◽  
Lukasz Pawela ◽  
Przemyslaw Sadowski
Keyword(s):  
Probability Distribution ◽  
Random Walks ◽  
Quantum Walks ◽  
The Other ◽  
Scaling Exponent ◽  
Continuous Change ◽  
Ballistic Regime ◽  
Second Moment ◽  
The Mean ◽  
Asymptotic Scaling

This work focuses on the study of quantum stochastic walks, which are a generalization of coherent, \ie unitary quantum walks. Our main goal is to present a measure of a coherence of the walk. To this end, we utilize the asymptotic scaling exponent of the second moment of the walk \ie of the mean squared distance covered by a walk. As the quantum stochastic walk model encompasses both classical random walks and quantum walks, we are interested how the continuous change from one regime to the other influences the asymptotic scaling exponent. Moreover this model allows for behavior which is not found in any of the previously mentioned model -- a model with global dissipation. We derive the probability distribution for the walker, and determine the asymptotic scaling exponent analytically, showing that ballistic regime of the walk is maintained even at large dissipation strength.

Production of slow singly charged fragments in 200 GeV/c hadron nucleus interactions

1993 ◽  
Vol 57 (1) ◽  
pp. 37-42 ◽  
Author(s):  
R. Albrecht ◽  
T. C. Awes ◽  
C. Baktash ◽  
P. Beckmann ◽  
F. Berger ◽  
...  
Keyword(s):  
200 Gev ◽  
Singly Charged

AN EFFICIENT IMPLEMENTATION OF THE EXACT ENUMERATION METHOD FOR RANDOM WALKS ON SIERPINSKI CARPETS

Fractals ◽  
2000 ◽  
Vol 08 (02) ◽  
pp. 155-161 ◽  
Author(s):  
ASTRID FRANZ ◽  
CHRISTIAN SCHULZKY ◽  
STEFFEN SEEGER ◽  
KARL HEINZ HOFFMANN
Keyword(s):  
Probability Distribution ◽  
Random Walks ◽  
Mean Square Displacement ◽  
Computation Time ◽  
Scaling Exponent ◽  
Exact Enumeration ◽  
Time Step ◽  
The Mean ◽  
Dynamic Data Structure ◽  
Sierpinski Carpets

In the following, we present a highly efficient algorithm to iterate the master equation for random walks on effectively infinite Sierpinski carpets, i.e. without surface effects. The resulting probability distribution can, for instance, be used to get an estimate for the random walk dimension, which is determined by the scaling exponent of the mean square displacement versus time. The advantage of this algorithm is a dynamic data structure for storing the fractal. It covers only a little bit more than the points of the fractal with positive probability and is enlarged when needed. Thus the size of the considered part of the Sierpinski carpet need not be fixed at the beginning of the algorithm. It is restricted only by the amount of available computer RAM. Furthermore, all the information which is needed in every step to update the probability distribution is stored in tables. The lookup of this information is much faster compared to a repeated calculation. Hence, every time step is speeded up and the total computation time for a given number of time steps is decreased.

Multiplicity fluctuation and phase transition in high-energy collision — A chaos-based study with complex network perspective

2016 ◽  
Vol 31 (35) ◽  
pp. 1650185 ◽  
Author(s):  
Susmita Bhaduri ◽  
Dipak Ghosh
Keyword(s):  
Phase Transition ◽  
Complex Network ◽  
Particle Production ◽  
High Energy ◽  
Visibility Graph ◽  
Quantitative Parameter ◽  
High Energy Collision ◽  
Fractal Properties ◽  
Fluctuation Pattern ◽  
Multiplicity Fluctuation

Multiplicity fluctuation provides enough information concerning the dynamics of particle production process and even signature of phase transition from hadronic to QGP phase expected in ultrarelativistic nuclear collision. Numerous analyses reported on the fluctuation pattern of pions have been studied from theoretical and phenomenological approaches. Also the fractal properties have been explored to characterize quantitative degree of fluctuation. The present work reports a study of pion fluctuation from a radically different perspective, using science of complexity. For this we have taken two different interactions — one hadron–nucleus and other nucleus–nucleus, namely [Formula: see text]-AgBr (350 GeV) and [Formula: see text]S-AgBr (200 A[Formula: see text]GeV). We have analyzed both data in the light of complex network analysis, viz. visibility graph method. The data reveal that power of the scale-freeness in visibility graph (PSVG), a quantitative parameter related to Hurst exponent, may provide information on the degree of fluctuation. Further, in a recent work, it was shown that phase transition can also be studied using the same methodology. Based on the result of the present study we further propose to use this methodology, where critical phenomena are to be assessed — even in case of pion fluctuation, for obtaining the QGP like phase transition.

On the pressure dependence of the thermodynamical scaling exponent γ

Soft Matter ◽  
2020 ◽  
Vol 16 (19) ◽  
pp. 4625-4631 ◽  
Author(s):  
R. Casalini ◽  
T. C. Ransom
Keyword(s):  
Pressure Dependence ◽  
Scaling Exponent ◽  
Scaling Parameter

In materials with a constant scaling parameter γS, the Isomorph γI is found to vary with pressure, demonstrating γS ≠ γI.

The Dynamics of TAT Process

2014 ◽  
Vol 35 (2) ◽  
pp. 103-133 ◽  
Author(s):  
Benoît Verdon ◽  
Catherine Chabert ◽  
Catherine Azoulay ◽  
Michèle Emmanuelli ◽  
Françoise Neau ◽  
...  
Keyword(s):  
Defense Mechanisms ◽  
Analytical Approach ◽  
Therapeutic Process ◽  
Practice Research ◽  
Rorschach Test ◽  
Mental Functioning ◽  
Projective Tests ◽  
The Subject ◽  
Latent Content ◽  
Rigorous Method

After many years of clinical practice, research and the teaching of projective tests, Shentoub and her colleagues (Debray, Brelet, Chabert & al.) put forward an original and rigorous method of analysis and interpretation of the TAT protocols in terms of psychoanalysis and clinical psychopathology. They developed the TAT process theory in order to understand how the subject builds a narrative. Our article will emphasize the source of the analytical approach developed by V. Shentoub in the 1950s to current research; the necessity of marking the boundary between the manifest and latent content in the cards; the procedure for analyzing the narrative, supported by an analysis sheet for understanding the stories' structure and identifying the defense mechanisms; and how developing hypotheses about how the mental functions are organized, as well as their potential psychopathological characteristics; and the formulation of a diagnosis in psychodynamic terms. In conjunction with the analysis and interpretation of the Rorschach test, this approach allows us to develop an overview of the subject's mental functioning, taking into account both the psychopathological elements that may threaten the subject and the potential for a therapeutic process. We will illustrate this by comparing neurotic, borderline, and psychotic personalities.

STATIONARY AFTERGLOW STUDY OF THE SINGLY CHARGED ATOMIC IONS IN PURE AR AND KR

1979 ◽  
Vol 40 (C7) ◽  
pp. C7-51-C7-52
Author(s):  
M. Grössl ◽  
H. Helm ◽  
M. Langenwalter ◽  
T.D. Märk
Keyword(s):  
Atomic Ions ◽  
Singly Charged
Sign in / Sign up

Export Citation Format

Share Document