Pion production and multifractality in ultrarelativistic nuclear collision – evidence of constant specific heat

2005 ◽  
Vol 83 (11) ◽  
pp. 1169-1175 ◽  
Author(s):  
D Ghosh ◽  
A Deb ◽  
M B Lahiri ◽  
R Das
Keyword(s):  
Specific Heat ◽  
Multifractal Analysis ◽  
Pion Production ◽  
Collision Energy ◽  
Fractal Dimensions ◽  
Nuclear Collision ◽  
Multiparticle Production

Multifractal analysis of the pions produced in 32S–AgBr and 16O–AgBr interactions at 200 and 60 AGeV, respectively, is performed following the method proposed by Takagi. The generalized fractal dimensions Dq's are determined and found to decrease with order, thereby supporting multifractality in multiparticle production. From the knowledge of Dq, the multifractal specific heat is calculated for each interaction. It has been observed that the value of the specific heat is independent of the collision energy. PACS Nos.: 25.75–q, 24.60.Ky, 12.40.Ee

FRACTAL BEHAVIOR OF NUCLEAR FRAGMENTS IN HIGH ENERGY INTERACTIONS

Fractals ◽  
2003 ◽  
Vol 11 (04) ◽  
pp. 331-343 ◽  
Author(s):  
DIPAK GHOSH ◽  
ARGHA DEB ◽  
MITALI MONDAL ◽  
SWARNAPRATIM BHATTACHARYYA ◽  
JAYITA GHOSH
Keyword(s):  
Specific Heat ◽  
Multifractal Analysis ◽  
Fractal Dimensions ◽  
High Energy ◽  
Factorial Moments

The multifractal analysis of data on nuclear fragments obtained from 28 Si-AgBr interactions at 14.5 A GeV is performed using three different methods (the factorial moments, G-moments and Takagi moments). The generalized fractal dimensions Dq is determined from all these methods. Data reflects multifractal geometry for the nuclear fragments. From the knowledge of Dq, the multifractal specific heat is calculated for this data and also for 16 O-AgBr interactions at 60 A GeV and 32 S-AgBr interactions at 200 A GeV.

Numerical Methods of Multifractal Analysis in Information Communication Systems and Networks

2013 ◽  
pp. 16-46
Author(s):  
Oleg I. Sheluhin ◽  
Artem V. Garmashev
Keyword(s):  
Communication Systems ◽  
Multifractal Analysis ◽  
Fractal Dimensions ◽  
Multifractal Spectrum ◽  
Telecommunication Networks ◽  
Information Communication ◽  
Novel Approach ◽  
Wavelet Transform Modulus Maxima ◽  
Modulus Maxima ◽  
Development Methods

In this chapter, the main principles of the theory of fractals and multifractals are stated. A singularity spectrum is introduced for the random telecommunication traffic, concepts of fractal dimensions and scaling functions, and methods used in their determination by means of Wavelet Transform Modulus Maxima (WTMM) are proposed. Algorithm development methods for estimating multifractal spectrum are presented. A method based on multifractal data analysis at network layer level by means of WTMM is proposed for the detection of traffic anomalies in computer and telecommunication networks. The chapter also introduces WTMM as the informative indicator to exploit the distinction of fractal dimensions on various parts of a given dataset. A novel approach based on the use of multifractal spectrum parameters is proposed for estimating queuing performance for the generalized multifractal traffic on the input of a buffering device. It is shown that the multifractal character of traffic has significant impact on queuing performance characteristics.

Entropy and specific heat as a measure of fluctuations in multiparticle production in relativistic nuclear collisions

2011 ◽  
Vol 85 (1) ◽  
pp. 195-199 ◽  
Author(s):  
M. Mohsin Khan ◽  
W. Bari ◽  
M. D. Azmi ◽  
Vipin Gaur ◽  
A. R. Khan ◽  
...  
Keyword(s):  
Specific Heat ◽  
Multiparticle Production ◽  
Nuclear Collisions ◽  
Relativistic Nuclear Collisions

MULTIFRACTAL ANALYSIS OF MULTIPLICITY FLUCTUATIONS IN 28Si-AgBr COLLISIONS AT 14.6 AGeV

2004 ◽  
Vol 13 (02) ◽  
pp. 479-491 ◽  
Author(s):  
R. HASAN ◽  
SAIFUL ISLAM ◽  
M. MOHIB-UL HAQ
Keyword(s):  
Specific Heat ◽  
Power Law ◽  
Multifractal Analysis ◽  
Factorial Moments ◽  
Multifractal Behavior ◽  
Generalized Dimensions

Modified Gq-moments have been employed to study multifractal behavior of multiplicity fluctuations in 28 Si-AgBr collisions at 14.6 AGeV. The connection between the Gq-moments and the normalized factorial moments Fq has also been investigated. Power law dependences of the moments on the number of bins M have been observed in the data. The generalized dimensions Dq and the multifractal specific heat for our data have also been determined.

scholarly journals MULTIFRACTAL ANALYSIS OF MOUNT St. HELENS SEISMICITY AS A TOOL FOR IDENTIFYING ERUPTIVE ACTIVITY

Fractals ◽  
2006 ◽  
Vol 14 (03) ◽  
pp. 179-186 ◽  
Author(s):  
FILIPPO CARUSO ◽  
SERGIO VINCIGUERRA ◽  
VITO LATORA ◽  
ANDREA RAPISARDA ◽  
STEPHEN MALONE
Keyword(s):  
Time Distribution ◽  
Multifractal Analysis ◽  
Mechanical Response ◽  
Fractal Dimensions ◽  
Distribution Patterns ◽  
Fixed Number ◽  
Short Time Scale ◽  
Eruptive Activity ◽  
Seismic Swarms ◽  
Mount St Helens

We present a multifractal analysis of Mount St. Helens seismic activity during 1980–2002. The seismic time distribution is studied in relation to the eruptive activity, mainly marked by the 1980 major explosive eruptions and by the 1980–1986 dome building eruptions. The spectrum of the generalized fractal dimensions, i.e. Dq versus q, extracted from the data, allows us to identify two main earthquake time distribution patterns. The first one exhibits a multifractal clustering correlated to the intense seismic swarms of the dome building activity. The second one is characterized by an almost constant value of Dq ≈ 1, as for a random uniform distribution. The time evolution of Dq (for q = 0.2), calculated on a fixed number of events window and at different depths, shows that the brittle mechanical response of the shallow layers to rapid magma intrusions, during the eruptive periods, is revealed by sharp changes, acting at a short time scale (order of days), and by the lowest values of Dq (≈ 0.3). Conversely, for deeper earthquakes, characterized by intense seismic swarms, Dq do not show obvious changes during the whole analyzed period, suggesting that the earthquakes, related to the deep magma supply system, are characterized by a minor degree of clustering, which is independent of the eruptive activity.

MULTIFRACTALITY IN MULTIPARTICLE PRODUCTION AT HIGH ENERGIES

2000 ◽  
Vol 09 (05) ◽  
pp. 417-429 ◽  
Author(s):  
R. HASAN ◽  
M. MOHIB-UL HAQ ◽  
SAIFUL ISLAM
Keyword(s):  
Specific Heat ◽  
Power Law ◽  
Heavy Ions ◽  
Multiparticle Production ◽  
High Energies ◽  
The Mean ◽  
Multifractal Behavior ◽  
Generalized Dimensions ◽  
Nuclear Targets

We apply Takagi methodology to study the multifractal behavior of shower particles produced in 12 C -Em collisions at 3.6 A GeV and p-Em collisions at 400 GeV. The multiplicity moments are found to have a power law dependence on the mean multiplicity in the varying bin sizes for different nuclear targets. The values of the generalized dimensions are evaluated and found to decrease with q, thereby supporting multifractality in multiparticle production. The values of the multifractal specific heat are also evaluated for our data and for collisions of other heavy ions. We find that the multifractal specific heat seems to have a universal value (~1/4) that does not depend on the type of ions and their energy.

EVIDENCE OF FRACTAL BEHAVIOR OF PIONS AND PROTONS IN HIGH ENERGY INTERACTIONS — AN EXPERIMENTAL INVESTIGATION

Fractals ◽  
2005 ◽  
Vol 13 (04) ◽  
pp. 325-339 ◽  
Author(s):  
DIPAK GHOSH ◽  
ARGHA DEB ◽  
SITARAM PAL ◽  
PRABIR KUMAR HALDAR ◽  
SWARNAPRATIM BHATTACHARYYA ◽  
...  
Keyword(s):  
Experimental Investigation ◽  
Specific Heat ◽  
Multiplicity Distribution ◽  
Azimuthal Angle ◽  
Factorial Moment ◽  
Fractal Dimensions ◽  
High Energy ◽  
Emission Angle ◽  
Compound Multiplicity ◽  
Multifractal Behavior

Different fractal methods (Factorial moment, Takagi moment) have been used for the analysis of fractal behavior of multiparticle production in π-- AgBr interaction at 350 GeV/c of compound multiplicity distribution in emission angle (cos θ) space and azimuthal angle (ϕ) space. The generalized fractal dimensions Dq are determined according to two methods. Results indicate multifractal behavior in compound multiplicity distribution. From the knowledge of Dq, the multifractal specific heat is calculated. Results are compared with the corresponding results of shower multiplicity.

scholarly journals Wavelet and multifractal analysis of the nonlinear structures in chaotic processes for hydroecological systems

2017 ◽  
pp. 171-175
Author(s):  
N.G. Serbov ◽  
O. Yu. Khetselius ◽  
A.A. Svinarenko ◽  
O.N. Grushevsky
Keyword(s):  
Time Series ◽  
Numerical Modelling ◽  
Multifractal Analysis ◽  
Theoretical Data ◽  
Fractal Dimensions ◽  
Nonlinear Structures ◽  
Dynamical Chaos ◽  
Fractal Structures ◽  
Linear Dynamical Systems ◽  
Multifractal Formalism

This paper goes on our investigations of the fractal structures in the chaotic and turbulent processes and connected with a great importance the experimental and theoretical studying of the non-linear dynamical systems with aim to discover the fractal features and elements of dynamical chaos. In this paper on the basis of wavelet analysis and multifractal formalism it is carried out an analysis of fractal structures in the chaotic processes (the time series of the nitrates concentrations in the Small Carpathians river’s watersheds Svidnik-Ondrava in the Earthen Slovakia) and the spectrum of the fractal dimensions has been computed. It is carried out numerical modelling and fulfilled a comparison of theoretical data with the earlier received estimates on the basis of other fractal formalism algorithm.

scholarly journals Fuzzy Generalized Fractal Dimensions Using Inter-Heartbeat Interval Dynamics in ECG Signals for Age Related Discrimination

2018 ◽  
Vol 7 (4.10) ◽  
pp. 900
Author(s):  
D. Easwaramoorthy ◽  
P. S. Eliahim Jeevaraj ◽  
A. Gowrisankar ◽  
A. Manimaran ◽  
S. Nandhini
Keyword(s):  
Multifractal Analysis ◽  
Fractal Theory ◽  
Age Groups ◽  
Fractal Dimensions ◽  
Elderly Subjects ◽  
Classification Rate ◽  
Ecg Signals ◽  
Age Related ◽  
Graphical Comparison ◽  
Chaotic Nature

Fractal theory is the propelled technique to analyze the non-linear signals with more complexity.  Quantification of chaotic nature and complexity of the multifaceted therapeutic signals requires the estimation of the spectrum of Generalized Fractal Dimensions (GFD) where the complexity means greater inconstancy in the general form of fractal dimension range.  This paper has proposed a fuzzy multifractal technique to analyze the age related classifications by using the Fuzzy Generalized Fractal Dimensions (F–GFD) with Gaussian fuzzy valued function through the cardiac inter-beat interval dynamics in electrocardiogram (ECG) signals.  It has been revealed that, the designed Fuzzy GFD method accurately categorizes the young and old age subjects by graphical comparison with the typical GFD method.  The classification rate of young and elderly subjects has also supported statistically by ANOVA test.   Hence the fuzzified multifractal analysis accomplishes significantly to discriminate age groups than the classical multifractal analysis in heartbeat rate time series from ECG signals and also the conventional GFD is a specific case of the proposed F–GFD.   

scholarly journals Bifractal nature of chromosome contact maps

2019 ◽  
Author(s):  
Simone Pigolotti ◽  
Mogens H. Jensen ◽  
Yinxiu Zhan ◽  
Guido Tiana
Keyword(s):  
Experimental Data ◽  
Stem Cells ◽  
Conformational Changes ◽  
Multifractal Analysis ◽  
Fractal Dimensions ◽  
Multifractal Spectrum ◽  
Quantitative Agreement ◽  
Scaling Exponent ◽  
Human Stem Cells ◽  
Contact Maps

Modern biological techniques such as Hi–C permit to measure probabilities that different chromosomal regions are close in space. These probabilities can be visualised as matrices called contact maps. In this paper, we introduce a multifractal analysis of chromosomal contact maps. Our analysis reveals that Hi–C maps are bifractal, i.e. complex geometrical objects characterized by two distinct fractal dimensions. To rationalize this observation, we introduce a model that describes chromosomes as a hierarchical set of nested domains and we solve it exactly. The predicted multifractal spectrum is in excellent quantitative agreement with experimental data. Moreover, we show that our theory yields to a more robust estimation of the scaling exponent of the contact probability than existing methods. By applying this method to experimental data, we detect subtle conformational changes among chromosomes during differentiation of human stem cells.

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