Statistical Analysis of Field-Aligned Alfvénic Turbulence and Intermittency in Fast Solar Wind

Carbone, Francesco; Telloni, Daniele; Sorriso‐Valvo, L.; Zank, G. P.; Zhao, Lingling; Adhikari, L.; Bruno, R.

doi:10.3390/universe6080116

Cited by 6 publications

(2 citation statements)

References 60 publications

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“…For fully developed, homogeneous, isotropic turbulence in an infinite medium, the K41 theory assumes that the energy (or information) transfer is constant (in a statistical sense) over a range of scales enclosed in the so-called inertial sub-range [40,62,63]. However, the scale-to-scale dynamics is actually far from being uniform, since the breakdown of self-similarity produces the well-known scale variation of the PDFs due to small-scale intermittency [64][65][66][67]. As the scale increases, local correlations are lost, and the probability density function of the velocity fluctuations becomes nearly Gaussian, according to the central limit theorem [68].…”

Section: A Velocity Fluctuations and Large Scale Decorrelationmentioning

confidence: 99%

Local dimensionality and inverse persistence analysis of atmospheric turbulence in the stable boundary layer

et al. 2022

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The dynamics across different scales in the stable atmospheric boundary layer has been investigated by means of two metrics, based on instantaneous fractal dimensions, and grounded in dynamical systems theory. The wind velocity fluctuations obtained from data collected during the CASES-99 experiment were analyzed to provide a local (in terms of scales), and an instantaneous (in terms of time) description of the fractal properties and predictability of the system. By analyzing the phase space projections of the continuous turbulent, intermittent and radiative regimes, a progressive transformation, characterized by the emergence of multiple low-dimensional clusters embedded in a high-dimensional shell and a 2-lobe mirror symmetrical structure of the inverse persistence, have been found. The phase space becomes increasingly complex and anisotropic as the turbulent fluctuations become uncorrelated. The phase space is characterized by a three-dimensional structure for the continuous turbulent samples in a range of scales compatible with the inertial sub-range, where the phase space-filling turbulent fluctuations dominate the dynamics, and is low-dimensional in the other regimes. Moreover, lower dimensional structures present a stronger persistence than the higher dimensional structures. Eventually, all samples recover a three-dimensional structure and higher persistence level at large scales, far from the inertial sub-range. The two metrics obtained in the analysis can be considered as proxies for the decorrelation time and the local anisotropy in the turbulent flow.

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Section: A Velocity Fluctuations and Large Scale Decorrelationmentioning

confidence: 99%

Local dimensionality and inverse persistence analysis of atmospheric turbulence in the stable boundary layer

et al. 2022

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“…This suggests the possible presence of large-scale modulations, which may affect the Fourier spectra but are well controlled by the HSA. In order to achieve robust estimate, the scaling exponent of the q-th Hilbert spectrum L q ( f ) was evaluated via the residual resampling (bootstrapping) procedure (Bradley & Robert 1994;Carbone et al 2020b). First, a least square fit is performed on each L q ( f ), then the residuals are randomly resampled and added to the fit, generating a new data-set (replica).…”

Section: Sample Start Timementioning

confidence: 99%

Statistical study of electron density turbulence and ion-cyclotron waves in the inner heliosphere: Solar Orbiter observations

Carbone,

Sorriso-Valvo,

Khotyaintsev

et al. 2021

Preprint

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Context. The recently released spacecraft potential measured by the RPW instrument on-board Solar Orbiter has been used to estimate the solar wind electron density in the inner heliosphere. Aims. Solar-wind electron density measured during June 2020 has been analysed to obtain a thorough characterization of the turbulence and intermittency properties of the fluctuations. Magnetic field data have been used to describe the presence of ion-scale waves. Methods. Selected intervals have been extracted to study and quantify the properties of turbulence. The Empirical Mode Decomposition has been used to obtain the generalized marginal Hilbert spectrum, equivalent to the structure functions analysis, and additionally reducing issues typical of non-stationary, short time series. The presence of waves was quantitatively determined introducing a parameter describing the time-dependent, frequency-filtered wave power. Results. A well defined inertial range with power-law scaling has been found almost everywhere. However, the Kolmogorov scaling and the typical intermittency effects are only present in part of the samples. Other intervals have shallower spectra and more irregular intermittency, not described by models of turbulence. These are observed predominantly during intervals of enhanced ion frequency wave activity. Comparisons with compressible magnetic field intermittency (from the MAG instrument) and with an estimate of the solar wind velocity (using electric and magnetic field) are also provided to give general context and help determine the cause for the anomalous fluctuations.

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Statistical study of electron density turbulence and ion-cyclotron waves in the inner heliosphere: Solar Orbiter observations

Carbone

Sorriso‐Valvo

Khotyaintsev

et al. 2021

A&A

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Context. The recently released spacecraft potential measured by the RPW instrument on board Solar Orbiter has been used to estimate the solar wind electron density in the inner heliosphere. Aims. The measurement of the solar wind’s electron density, taken in June 2020, has been analysed to obtain a thorough characterization of the turbulence and intermittency properties of the fluctuations. Magnetic field data have been used to describe the presence of ion-scale waves. Methods. To study and quantify the properties of turbulence, we extracted selected intervals. We used empirical mode decomposition to obtain the generalized marginal Hilbert spectrum, equivalent to the structure functions analysis, which additionally reduced issues typical of non-stationary, short time series. The presence of waves was quantitatively determined by introducing a parameter describing the time-dependent, frequency-filtered wave power. Results. A well-defined inertial range with power-law scalng was found almost everywhere in the sample studied. However, the Kolmogorov scaling and the typical intermittency effects are only present in fraction of the samples. Other intervals have shallower spectra and more irregular intermittency, which are not described by models of turbulence. These are observed predominantly during intervals of enhanced ion frequency wave activity. Comparisons with compressible magnetic field intermittency (from the MAG instrument) and with an estimate of the solar wind velocity (using electric and magnetic field) are also provided to give general context and help determine the cause of these anomalous fluctuations.

show abstract

Statistical Analysis of Field-Aligned Alfvénic Turbulence and Intermittency in Fast Solar Wind

Cited by 6 publications

References 60 publications

Local dimensionality and inverse persistence analysis of atmospheric turbulence in the stable boundary layer

Local dimensionality and inverse persistence analysis of atmospheric turbulence in the stable boundary layer

Statistical study of electron density turbulence and ion-cyclotron waves in the inner heliosphere: Solar Orbiter observations

Statistical study of electron density turbulence and ion-cyclotron waves in the inner heliosphere: Solar Orbiter observations

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