Multifractal detrended fluctuation analysis of pseudorapidity and azimuthal distribution of pions emitted in high energy nuclear collisions

2014 ◽  
Vol 29 (18) ◽  
pp. 1450084 ◽  
Author(s):  
Srimonti Dutta ◽  
Dipak Ghosh ◽  
Sucharita Chatterjee
Keyword(s):  
Detrended Fluctuation Analysis ◽  
High Energy ◽  
Fluctuation Analysis ◽  
Multifractal Detrended Fluctuation Analysis ◽  
Scaling Properties ◽  
Nuclear Collisions ◽  
200 Gev ◽  
Fluctuation Pattern ◽  
Multifractal Scaling ◽  
Detrended Fluctuation

In this paper multifractal analysis of fluctuation pattern of pions emitted in 32 S-AgBr and 16 O-AgBr interactions at 200 GeV and 60 GeV, respectively, is performed in the framework of multifractal detrended fluctuation analysis (MFDFA). The pseudorapidity and azimuthal distributions exhibit multifractal scaling properties at both energies. The variation of multifractal width with energy is also studied. The study reveals a dependence of multifractal width on energy in pseudorapidity space while no such dependence is observed in azimuthal space.

scholarly journals Different Multifractal Scaling of the 0 cm Average Ground Surface Temperature of Four Representative Weather Stations over China

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Lei Jiang ◽  
Xia Zhao ◽  
Nana Li ◽  
Fei Li ◽  
Ziqi Guo
Keyword(s):  
Surface Temperature ◽  
Ground Surface ◽  
Multifractal Spectrum ◽  
Fluctuation Analysis ◽  
Multifractal Detrended Fluctuation Analysis ◽  
Scaling Properties ◽  
Ground Surface Temperature ◽  
Multifractal Scaling ◽  
Weather Stations ◽  
Detrended Fluctuation

The temporal scaling properties of the daily 0 cm average ground surface temperature (AGST) records obtained from four selected sites over China are investigated using multifractal detrended fluctuation analysis (MF-DFA) method. Results show that the AGST records at all four locations exhibit strong persistence features and different scaling behaviors. The differences of the generalized Hurst exponents are very different for the AGST series of each site reflecting the different scaling behaviors of the fluctuation. Furthermore, the strengths of multifractal spectrum are different for different weather stations and indicate that the multifractal behaviors vary from station to station over China.

MULTIFRACTALITY OF RADON CONCENTRATION FLUCTUATION IN EARTHQUAKE RELATED SIGNAL

Fractals ◽  
2012 ◽  
Vol 20 (01) ◽  
pp. 33-39 ◽  
Author(s):  
DIPAK GHOSH ◽  
ARGHA DEB ◽  
SRIMONTI DUTTA ◽  
ROSALIMA SENGUPTA ◽  
SHUKLA SAMANTA
Keyword(s):  
Time Series ◽  
Radon Concentration ◽  
Detrended Fluctuation Analysis ◽  
Concentration Fluctuation ◽  
Fluctuation Analysis ◽  
Seismic Events ◽  
Multifractal Detrended Fluctuation Analysis ◽  
Radon Anomaly ◽  
Fluctuation Pattern ◽  
Detrended Fluctuation

Radon anomaly acts as a precursor to seismic events. Hence the fluctuation pattern of time series of radon bears a lot of significance. Multifractal detrended fluctuation analysis (MFDFA) has been applied successfully in past to various geo-electrical signals. The time series of earthquake related radon signal of duration three years (November 2005–November 2008) obtained from our experiment performed at Kolkata, India was analyzed in the framework of MFDFA. The study revealed that the fluctuation of radon concentration is multifractal in nature.

Local multifractal detrended fluctuation analysis for tea breeds identification

2014 ◽  
Vol 07 (05) ◽  
pp. 1450048 ◽  
Author(s):  
Fang Wang ◽  
Rui-Biao Zou ◽  
Gui-Ping Liao ◽  
Jin-Wei Li ◽  
Zi-Qiang Liu
Keyword(s):  
Detrended Fluctuation Analysis ◽  
Estimation Method ◽  
Fluctuation Analysis ◽  
Characteristic Parameters ◽  
Multifractal Detrended Fluctuation Analysis ◽  
Scaling Properties ◽  
Local Scaling ◽  
Comparison Results ◽  
Capacity Measure ◽  
Detrended Fluctuation

In recent years, the popular multifractal detrended fluctuation analysis (MF-DFA) is extended to two-dimensional (2D) version, which has been applied in some field of image processing. In this paper, based on the 2D MF-DFA, a novel multifractal estimation method for images, which we called the local multifractal detrended fluctuation analysis (LMF-DFA), is proposed to recognize and distinguish 20 types of tea breeds. A set of new multifractal descriptors, namely the local multifractal fluctuation exponents is defined to portray the local scaling properties of a surface. After collecting 10 tea leaves for each breed and photographing them to standard images, the LMF-DFA method is used to extract characteristic parameters for the images. Our analysis finds that there are significant differences among the different tea breeds' characteristic parameters by analysis of variance. Both the proposed LMF-DFA exponents and another classic parameter, namely the exponent based on capacity measure method have been used as features to distinguish the 20 tea breeds. The comparison results illustrate that the LMF-DFA estimation can differentiate the tea breeds more effectively and provide more satisfactory accuracy.

scholarly journals Multifractal detrended fluctuation analysis in examining scaling properties of the spatial patterns of soil water storage

2012 ◽  
Vol 19 (2) ◽  
pp. 227-238 ◽  
Author(s):  
A. Biswas ◽  
T. B. Zeleke ◽  
B. C. Si
Keyword(s):  
Soil Water ◽  
Detrended Fluctuation Analysis ◽  
Water Storage ◽  
Soil Water Storage ◽  
Fluctuation Analysis ◽  
Multifractal Detrended Fluctuation Analysis ◽  
Scaling Properties ◽  
Scaling Property ◽  
Detrended Fluctuation ◽  
Properties Of Soil

Abstract. Knowledge about the scaling properties of soil water storage is crucial in transferring locally measured fluctuations to larger scales and vice-versa. Studies based on remotely sensed data have shown that the variability in surface soil water has clear scaling properties (i.e., statistically self similar) over a wider range of spatial scales. However, the scaling property of soil water storage to a certain depth at a field scale is not well understood. The major challenges in scaling analysis for soil water are the presence of localized trends and nonstationarities in the spatial series. The objective of this study was to characterize scaling properties of soil water storage variability through multifractal detrended fluctuation analysis (MFDFA). A field experiment was conducted in a sub-humid climate at Alvena, Saskatchewan, Canada. A north-south transect of 624-m long was established on a rolling landscape. Soil water storage was monitored weekly between 2002 and 2005 at 104 locations along the transect. The spatial scaling property of the surface 0 to 40 cm depth was characterized using the MFDFA technique for six of the soil water content series (all gravimetrically determined) representing soil water storage after snowmelt, rainfall, and evapotranspiration. For the studied transect, scaling properties of soil water storage are different between drier periods and wet periods. It also appears that local controls such as site topography and texture (that dominantly control the pattern during wet states) results in multiscaling property. The nonlocal controls such as evapotranspiration results in the reduction of the degree of multiscaling and improvement in the simple scaling. Therefore, the scaling property of soil water storage is a function of both soil moisture status and the spatial extent considered.

Multifractal detrended fluctuation analysis of temperature in Spain (1960–2019)

2021 ◽  
pp. 126118
Author(s):  
Javier Gómez-Gómez ◽  
Rafael Carmona-Cabezas ◽  
Ana B. Ariza-Villaverde ◽  
Eduardo Gutiérrez de Ravé ◽  
Francisco José Jiménez-Hornero
Keyword(s):  
Detrended Fluctuation Analysis ◽  
Fluctuation Analysis ◽  
Multifractal Detrended Fluctuation Analysis ◽  
Detrended Fluctuation
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