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There has been a trend in the past decade to describe the large-scale structures in the Universe as a (multi)fractal set. However, one of the main objections raised by the opponents of this approach deals with the transition to homogeneity.…

Astrophysics · Physics 2016-08-30 F. M. Ramos , C. A. Wuensche , A. L. B. Ribeiro , R. R. Rosa

Variations in stratospheric atmospheric circulation significantly influence tropospheric weather and climate, and understanding these variations can guide stratospheric aircraft development and operations. Despite a century of progress,…

Atmospheric and Oceanic Physics · Physics 2025-03-26 Ningning Tao , Xiaosong Chen , Fei Xie , Yongwen Zhang , Yan Xia , Xuan Ma , Han Huang , Hongyu Wang

Stress vs. strain fluctuations in athermal amorphous solids are an example of `crackling noise' of the type studied extensively in the context of elastic membranes moving through random potentials. Contrary to the latter, we do not have a…

Statistical Mechanics · Physics 2010-10-07 Edan Lerner , Itamar Procaccia

Physical understanding of how the interplay between symmetries and nonlinear effects can control the scaling and multiscaling properties in a coupled driven system, such as magnetohydrodynamic turbulence or turbulent binary fluid mixtures,…

Statistical Mechanics · Physics 2021-03-23 Sudip Mukherjee , Abhik Basu

We have carried out a detailed study of scaling region using detrended fractal analysis test by applying different forcing likewise noise, sinusoidal, square on the floating potential fluctuations acquired under different pressures in a DC…

Data Analysis, Statistics and Probability · Physics 2017-11-22 Debajyoti Saha , Pankaj Kumar Shaw , Sabuj Ghosh , M. S. Janaki , A. N. Sekar Iyengar

The North Atlantic Oscillation (NAO) monthly index is studied from 1825 till 2002 in order to identify the scaling ranges of its fluctuations upon different delay times and to find out whether or not it can be regarded as a Markov process.…

Chaotic Dynamics · Physics 2009-11-10 C. Collette , M. Ausloos

Atmospheric flows exhibit long-range spatiotemporal correlations manifested as the fractal geometry to the global cloud cover pattern concomitant with inverse power-law form for power spectra of temporal fluctuations of all scales ranging…

General Physics · Physics 2007-05-23 A. M. Selvam , S. Fadnavis

Identification and extraction of vortical structures and of waves in a disorganised flow is a mayor challenge in the study of turbulence. We present a study of the spatio-temporal behavior of turbulent flows in the presence of different…

Fluid Dynamics · Physics 2015-11-09 P. Clark di Leoni , P. J. Cobelli , P. D. Mininni

Low-order climate models can play an important role in understanding low-frequency variability in the atmospheric circulation and how forcing consistent with anthropogenic climate change may affect this variability. Here, we study a…

Geophysics · Physics 2025-02-04 Bernardo Maraldi , Henk Dijkstra , Michael Ghil

Oceanic atmospheric oscillations and climate variability are tightly linked and both exhibit broad band spectral content that ranges, with roughly equal strength, from annual to centennial periodicity. The explanation for variability based…

Solar and Stellar Astrophysics · Physics 2024-04-23 Ian R. Edmonds

The two-dimensional multifractal detrended fluctuation analysis is applied to reveal the multifractal properties of the fracture surfaces of foamed polypropylene/polyethylene blends at different temperatures. Nice power-law scaling…

Materials Science · Physics 2009-01-03 Chuang Liu , Xiu-Lei Jiang , Tao Liu , Ling Zhao , Wei-Xing Zhou , Wei-Kang Yuan

An approach is suggested for treating multiscale fluctuations in macromolecular systems. The emphasis is on the statistical properties of such fluctuations. The approach is illustrated by a macromolecular system with mesoscopic fluctuations…

Chemical Physics · Physics 2012-08-07 V. I. Yukalov , E. P. Yukalova

Preliminary results are presented which suggest that scaling and singularity characteristics of solar wind and ground based magnetic fluctuations appear to be a significant component in the solar wind - magnetosphere interaction processes.…

Space Physics · Physics 2020-01-29 Z. Vörös , D. Jankovičová , P. Kovács

In this paper we present a detailed statistical analysis related to the characterization of the spatial and temporal fluctuations present in the rainfall patterns of North-East region ($26.05^{\circ}N-26.95^{\circ}N$,…

Atmospheric and Oceanic Physics · Physics 2025-10-20 Joya GhoshDastider , D. Pal , Pankaj K. Mishra

The scaling ranges of time correlations in the cloud base height records of marine boundary layer stratocumulus are studied applying the Detrended Fluctuation Analysis statistical method. We have found that time dependent variations in the…

Condensed Matter · Physics 2009-11-07 N. Kitova , K. Ivanova , M. Ausloos , T. P. Ackerman , M. A. Mikhalev

In this paper, a systematic analysis of hourly wind speed data obtained from four potential wind generation sites in North Dakota is conducted. The power spectra of the data exhibited a power law decay characteristic of $1/f^{\alpha}$…

Statistical Mechanics · Physics 2015-06-24 Rajesh G. Kavasseri , Radhakrishnan Nagarajan

We develop a method for the multifractal characterization of nonstationary time series, which is based on a generalization of the detrended fluctuation analysis (DFA). We relate our multifractal DFA method to the standard partition…

Data Analysis, Statistics and Probability · Physics 2009-11-07 Jan W. Kantelhardt , Stephan A. Zschiegner , Eva Koscielny-Bunde , Armin Bunde , Shlomo Havlin , H. Eugene Stanley

In the study of complex networks (systems), the scaling phenomenon of flow fluctuations refers to a certain power-law between the mean flux (activity) $<F_i>$ of the $i$th node and its variance $\sigma_i$ as $\sigma_i \propto < F_{i} >…

Data Analysis, Statistics and Probability · Physics 2009-05-08 Yudong Chen , Li Li , Yi Zhang , Jianming Hu

Intermittency is one of central obstacles for understanding small-scale dynamics in the fully developed hydrodynamic turbulence. The modern approach is largely based on the multifractal theory of Parisi and Frisch which is, however,…

Fluid Dynamics · Physics 2023-05-12 Alexei A. Mailybaev

In this paper, high frequency wind time series measured at different heights from the ground (from 5.5 to 25.5 meters) in an urban area were investigated. The spectrum of each series is characterized by a power-law behaviour at low…

Applications · Statistics 2019-06-17 Luciano Telesca , Mohamed Laib , Fabian Guignard , Dasaraden Mauree , Mikhail Kanevski