scholarly journals Multiscale Entropy Analysis of Gravitational Waves

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Mohsen Javaherian ◽  
Saeid Mollaei
Keyword(s):  
Multiscale Analysis ◽  
Short Range ◽  
Interval Data ◽  
Multiscale Entropy ◽  
Entropy Analysis ◽  
Generalized Entropy ◽  
Long Range Correlations ◽  
Identical Manner ◽  
Interval Time Series ◽  
Short Range Correlations

The first gravitational-wave (GW) signal was detected in the year 2015 indicating tiny distortions of spacetime caused by accelerated masses. We focused on the GW signals consisting of a peak GW strain of 1.0 × 1 0 − 21 that shows merging pairs of large masses. We applied the generalized entropy known as multiscale entropy to the GW interval time series recorded by different observatories (H1, L1, and V1). This enables us to investigate the behavior of entropies on different scales as a method of studying complexity and organization. We found that the entropies of GW interval data with similar physical properties make the identical manner in different scales. Moreover, the results reveal that the signals collected by each observatory have approximately a similar trend in the multiscale analysis results. According to our findings, although different signals have different values for short-range correlations, the long-range correlations are not noticeable in most of them.

scholarly journals LONG-RANGE FRACTAL CORRELATIONS IN LITERARY CORPORA

Fractals ◽  
2002 ◽  
Vol 10 (04) ◽  
pp. 451-461 ◽  
Author(s):  
MARCELO A. MONTEMURRO ◽  
PEDRO A. PURY
Keyword(s):  
Long Range ◽  
Short Range ◽  
Fractal Structure ◽  
Written Language ◽  
Long Range Correlations ◽  
Large Samples ◽  
Sentence Level ◽  
Set Up ◽  
Short Range Correlations ◽  
Linguistic Basis

In this paper, we analyze the fractal structure of long human language records by mapping large samples of texts onto time series. The particular mapping set up in this work is inspired on linguistic basis in the sense that is retains the word as the fundamental unit of communication. The results confirm that beyond the short-range correlations resulting from syntactic rules acting at sentence level, long-range structures emerge in large written language samples that give rise to long-range correlations in the use of words.

scholarly journals Basic features of correlated ion stopping in plasmas

1996 ◽  
Vol 14 (4) ◽  
pp. 749-763 ◽  
Author(s):  
Günter Zwicknagel ◽  
Claude Deutsch
Keyword(s):  
Long Range ◽  
Correlation Length ◽  
Short Range ◽  
Single Individual ◽  
Screening Length ◽  
Long Range Correlations ◽  
Ion Clusters ◽  
Large Ratio ◽  
Basic Features ◽  
Short Range Correlations

We reconsider correlated ion stopping in plasmas with the aim to emphasize the basic features and their underlying physics. For a better understanding of the effects connected with correlated ion stopping, it is useful to distinguish two types of correlated ion stopping, characterized by a small or large ratio of the correlation length of the ions to the screening length in the plasma. These two types of correlated ion stopping are of rather different character. We describe and explain these differences and give some generic examples of ion structures and ion clusters to demonstrate the basic features of both types of correlated stopping. This shows that only the short-range correlations always yield an enhanced stopping, whereas the long-range correlations, in general, reduce the stopping compared to single, individual ions. We mainly consider classical plasmas; the basic features, however, remain unchanged for a jellium target as well as for a plasma at any degeneracy.

Pseudorapidity distribution and cluster formation in 50 and 400 GeV/c hadron–nucleus interactions

1984 ◽  
Vol 62 (3) ◽  
pp. 230-238 ◽  
Author(s):  
M. Irfan ◽  
H. Khushnood ◽  
A. Shakeel ◽  
A. R. Khan ◽  
M. Shafi
Keyword(s):  
Long Range ◽  
Short Range ◽  
Dominant Role ◽  
Cluster Formation ◽  
Pseudorapidity Distribution ◽  
Appreciable Change ◽  
Long Range Correlations ◽  
Rapidity Gap ◽  
Rapidity Distributions ◽  
Short Range Correlations

From the study of the pseudorapidity, η, distributions of charged shower particles produced in 50 GeV/c π− – nucleus and 400 GeV/c proton (p)–nucleus collisions, and their dependence on various parameters, the maxima of η distributions are noticed to shift towards smaller values of η with increasing Ng. Bimodality in the η distributions for all Ng groups has been observed to be completely absent in 50 GeV/c π− – nucleus interactions. Furthermore, the value of [Formula: see text] is found to decrease monotonically with increasing Ng, Ns, and Nh. The dispersions of the rapidity distributions D(η) do not, however, demonstrate any tendency of appreciable change with increasing Ng, except in the region of small Ng values. Finally, study of rapidity-gap length distributions reveals that the two-particle short-range correlations play a dominant role while the contribution of long-range correlations seems to be quite small.

scholarly journals Effects of Short and Long Range Correlations on the Charge Densities and Radii of Ca Nuclei

2019 ◽  
Vol 7 ◽  
pp. 47
Author(s):  
G. A. Lalazissis ◽  
S. E. Massen
Keyword(s):  
Experimental Data ◽  
Long Range ◽  
Short Range ◽  
Proton Density ◽  
Nuclear Surface ◽  
Combined Effects ◽  
Mean Square ◽  
Long Range Correlations ◽  
Charge Densities ◽  
Short Range Correlations

The experimental data for the charge (proton) density differences of the even Ca nuclei is analyzed by means of a simple phenomenological model where the effects of certain type short and long range correlations have been accounted. Short range correlations are approximated through the Jastrow type correlation function while for long range correlations the fluctuations of the nuclear surface are considered. The analysis shows that the combined effects of these correlations lead to a better description of the experimental charge (proton) density differences. Moreover, the calculated charge mean square radii of the even Ca nuclei exhibit a parabolic behaviour and compare well with the experimental isotope shifts from the laser spectroscopy measurements.

Correlations among relativistic charged secondaries produced in π−–nucleus interactions at 340 GeV/c

1990 ◽  
Vol 68 (10) ◽  
pp. 1207-1212
Author(s):  
Tauseef Ahmad ◽  
M. Irfan ◽  
M. Z. Ahsan
Keyword(s):  
Long Range ◽  
Short Range ◽  
Target Size ◽  
Nuclear Target ◽  
Plateau Region ◽  
Central Plateau ◽  
Long Range Correlations ◽  
Excess Number ◽  
Short Range Correlations ◽  
Number Of Particles

Correlations amongst fast charged secondaries produced in 340 GeV π−–nucleus collisions are examined. The findings of these investigations reveal that strong short-range correlations occur in the central plateau region; there is, however, no evidence for the presence of intrinsic long-range correlations. A backward asymmetry in the case of a nuclear target, which increases with increasing target size, is also observed. There are strong two-particle correlations in both forward and backward hemispheres and the excess number of particles that appear in the backward hemisphere due to heavier targets are envisaged to be produced through the decay of clusters.

scholarly journals UNDERSTANDING THE PARTICLE PRODUCTION MECHANISM WITH CORRELATION STUDIES USING LONG AND SHORT RANGE CORRELATIONS

2007 ◽  
Vol 16 (07n08) ◽  
pp. 2210-2215 ◽  
Author(s):  
◽  
B. K. SRIVASTAVA ◽  
R. P. SCHARENBERG ◽  
T. J. TARNOWSKY
Keyword(s):  
Long Range ◽  
Short Range ◽  
Particle Production ◽  
Parton Model ◽  
Color Glass ◽  
Long Range Correlations ◽  
Correlation Studies ◽  
Partonic Matter ◽  
Short Range Correlations ◽  
Star Detector

Long range forward-backward multiplicity correlations have been measured with the STAR detector for Au + Au collisions at [Formula: see text]. Strong long range correlations are observed in central Au + Au collisions. Based on the Dual Parton model and Color Glass Condensate considerations the data suggests that these long range correlations are due to multiple parton interactions. This suggests that dense partonic matter is created in central Au + Au collisions at [Formula: see text].

Distribution and Correlation of the Coding Sequence Lengths in Bacterial Genomes

2008 ◽  
Vol 59 (11) ◽  
Author(s):  
Vasile V. Morariu
Keyword(s):  
Correlation Analysis ◽  
Exponential Function ◽  
Short Range ◽  
Statistical Physics ◽  
Bacterial Genomes ◽  
Coding Sequence ◽  
Correlation Properties ◽  
Short Range Correlations ◽  
Fluctuating System

The length of coding sequence (CDS) series in bacterial genomes were regarded as a fluctuating system and characterized by the methods of statistical physics. The distribution and the correlation properties of CDS for 47 genomes were investigated. The distribution was found to be approximated by an exponential function while the correlation analysis revealed short range correlations.

scholarly journals Using Bidimensional Multiscale Entropy Analysis of Ultrasound Images to Assess the Effect of Various Walking Intensities on Plantar Soft Tissues

Entropy ◽  
2021 ◽  
Vol 23 (3) ◽  
pp. 264
Author(s):  
Ben-Yi Liau ◽  
Fu-Lien Wu ◽  
Keying Zhang ◽  
Chi-Wen Lung ◽  
Chunmei Cao ◽  
...  
Keyword(s):  
Soft Tissues ◽  
Linear Analysis ◽  
Multiscale Entropy ◽  
Ultrasound Images ◽  
Entropy Analysis ◽  
Nonlinear Complexity ◽  
Human Movements ◽  
Before And After ◽  
Walking Performance ◽  
Linear And Nonlinear

Walking performance is usually assessed by linear analysis of walking outcome measures. However, human movements consist of both linear and nonlinear complexity components. The purpose of this study was to use bidimensional multiscale entropy analysis of ultrasound images to evaluate the effects of various walking intensities on plantar soft tissues. Twelve participants were recruited to perform six walking protocols, consisting of three speeds (slow at 1.8 mph, moderate at 3.6 mph, and fast at 5.4 mph) for two durations (10 and 20 min). A B-mode ultrasound was used to assess plantar soft tissues before and after six walking protocols. Bidimensional multiscale entropy (MSE2D) and the Complexity Index (CI) were used to quantify the changes in irregularity of the ultrasound images of the plantar soft tissues. The results showed that the CI of ultrasound images after 20 min walking increased when compared to before walking (CI4: 0.39 vs. 0.35; CI5: 0.48 vs. 0.43, p < 0.05). When comparing 20 and 10 min walking protocols at 3.6 mph, the CI was higher after 20 min walking than after 10 min walking (CI4: 0.39 vs. 0.36, p < 0.05; and CI5: 0.48 vs. 0.44, p < 0.05). This is the first study to use bidimensional multiscale entropy analysis of ultrasound images to assess plantar soft tissues after various walking intensities.

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