Related Experiment Video
Updated: Jun 6, 2025

05:24
Multifractal Spectrum Analysis for Assessing Pulmonary Nodule Malignancy
Published on: January 10, 2025
314
Solar Wind Turbulence and Complexity Probed with Rank-Ordered Multifractal Analysis (ROMA)
Marius Echim1,2, Costel Munteanu2, Gabriel Voitcu2
1Royal Belgian Institute for Space Aeronomy, Avenue Circulaire 3, 1180 Bruxelles, Belgium.
Entropy (Basel, Switzerland)
|November 27, 2024
Summary
Rank-Ordered Multifractal Analysis (ROMA) reveals distinct solar wind turbulence patterns. Fast solar wind shows scale-dependent fluctuations, while slow solar wind exhibits fully developed multifractal turbulence.
Area of Science:
- Space Physics
- Plasma Physics
- Astrophysics
Background:
- Solar wind turbulence is a complex phenomenon crucial for understanding energy transfer in space.
- Characterizing multifractality and scale-invariance in turbulent plasmas is essential for astrophysical studies.
Purpose of the Study:
- To apply Rank-Ordered Multifractal Analysis (ROMA) to characterize solar wind turbulence.
- To compare the multifractal properties of fast and slow solar wind using spacecraft data.
Main Methods:
- Rank-Ordered Multifractal Analysis (ROMA) was employed to analyze fluctuations.
- Range-limited structure-function analysis was used to determine mono-fractal indices.
- Data from Ulysses (fast solar wind) and Venus Express (slow solar wind) spacecraft were analyzed.
Main Results:
- Fast solar wind exhibits scale-dependent fluctuations: persistent at kinetic scales and anti-persistent at inertial scales.
- Slow solar wind shows fully developed multifractal turbulence with a transition in Hurst index.
- Small-scale fluctuations in slow solar wind tend towards mono-fractal behavior.
Conclusions:
- ROMA effectively differentiates multifractal characteristics of fast and slow solar wind turbulence.
- The findings provide insights into the scale-dependent nature and complexity of solar wind dynamics.
- Differentiation of turbulence structures has implications for understanding plasma behavior in heliospheric environments.
Keywords:
complexityintermittencymultifractal analysisrank-ordered multifractal analysissolar windturbulenceMore Related Videos
Related Concept Videos
Wind Turbine Machine Models
106
In the growing field of wind energy, incorporating wind turbine models into transient stability analysis is essential. Induction and synchronous machines are the primary models used, with induction machines being prevalent due to their simplicity and reliability.
Induction machines interact through the rotating magnetic field generated by the stator and the rotor. The key parameter is slip, which is the difference between synchronous speed and rotor speed relative to synchronous speed. Slip is...
Induction machines interact through the rotating magnetic field generated by the stator and the rotor. The key parameter is slip, which is the difference between synchronous speed and rotor speed relative to synchronous speed. Slip is...
106
Dimensionless Groups in Fluid Mechanics
284
Dimensionless groups in fluid mechanics provide simplified ratios that help analyze fluid behavior without relying on specific units. The Reynolds number (Re), which represents the ratio of inertial to viscous forces, distinguishes between laminar and turbulent flows, making it essential in the design of pipelines and aerodynamic surfaces. The Froude number (Fr), the ratio of inertial to gravitational forces, is particularly useful in predicting wave formation and hydraulic jumps in...
284
Turbulent Flow
145
Turbulent flow is characterized by unpredictable fluctuations in velocity and pressure, which result in a chaotic fluid movement distinct from the orderly patterns of laminar flow. While laminar flow is governed by smooth, parallel layers with minimal mixing, turbulent flow exhibits highly irregular, three-dimensional patterns. This behavior arises due to instabilities in the fluid's velocity profile, and amplifies as the flow velocity increases. Minor disturbances, known as turbulent...
145
Wald-Wolfowitz Runs Test I
609
The Wald-Wolfowitz test, also known as the runs test, is a nonparametric statistical test used to assess the randomness of a sequence of two different types of elements (e.g., positive/negative values, successes/failures). It examines whether the order of the elements in a sequence is random or if there is a pattern or trend present. This nonparametric test applies to any ordered data despite the population and sample data distribution, even if a higher sample size is available.
The test works...
The test works...
609
Friedman Two-way Analysis of Variance by Ranks
147
Friedman's Two-Way Analysis of Variance by Ranks is a nonparametric test designed to identify differences across multiple test attempts when traditional assumptions of normality and equal variances do not apply. Unlike conventional ANOVA, which requires normally distributed data with equal variances, Friedman's test is ideal for ordinal or non-normally distributed data, making it particularly useful for analyzing dependent samples, such as matched subjects over time or repeated measures...
147
Routh-Hurwitz Criterion I
171
Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
171

