Partial Variance of Increments Method in Solar Wind Observations and Plasma Simulations

Greco, A.; Matthaeus, W. H.; Perri, S.; Osman, K. T.; Servidio, S.; Wan, Minping; Dmitruk, P.

doi:10.1007/s11214-017-0435-8

Cited by 87 publications

(92 citation statements)

References 76 publications

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“…In this paper we have employed the PVI methodology to provide a baseline statistical characterization of the "roughness", or intermittency, of the observed magnetic and velocity field during the first solar encounter of the PSP. Quantification of roughness using the PVI technique has the dual advantages of being closely related to turbulence intermittency statistics, while also being related to classical-discontinuity identification procedures (Greco et al 2009b(Greco et al , 2018. 3 The present work extends in a natural way analogous studies carried out at 1 au and beyond (Greco et al 2018).…”

Section: Conclusion and Discussionmentioning

confidence: 67%

“…The Partial Variance of Increments (PVI) is a welltested measure of the occurrence of sharp gradients in the magnetic field -discontinuities, current sheets, sites of magnetic reconnection, etc. See Greco et al (2018) for a review of applications. Such discontinuities are believed to play a key role in enhanced dissipation, and particle heating (e.g., Chasapis et al 2015) and energization (e.g., Tessein et al 2013) in space plasmas.…”

Section: Introductionmentioning

confidence: 99%

“…However, for time lags corresponding to distances within the inertial range, probability density functions (PDFs) of increments have "fatter" non-Gaussian tails and are fit better by stretched exponential, lognormal, truncated Lévy-flight, and kappa distributions (Kailasnath et al 1992;Sorriso-Valvo et al 1999;Bruno et al 2004;Pollock et al 2018). Distributions of waiting times between high PVI "events" typically exhibit power laws at inertial range lags and exponential behavior at longer, uncorrelated lags Greco et al (2009bGreco et al ( , 2018. Powerlaw behavior indicates a correlated "clustering" process which is statistically self-similar in time and possesses "memory", as opposed to a random Poisson process which results in exponential waiting-time distributions.…”

Section: Introductionmentioning

confidence: 99%

“…In the following figures, we will denote the magnetic and velocity PVI as PVI B and PVI V , respectively. Values of PVI > 3 have been associated with non-Gaussian structures, PVI > 6 with current sheets, and PVI > 8 with reconnection sites (Greco et al 2018). Events with PVI exceeding 3 become progressively less likely to be a sample of a Gaussian random process.…”

Section: Introductionmentioning

confidence: 99%

“…Note that the PVI method is one amongst several that have been developed for identifying discontinuities in turbulent flows, such as the wavelet-based Local Intermittency Measure (Veltri & Mangeney 1999;Farge et al 2001) and the Phase Coherence Index (Hada et al 2003). See Greco et al (2018) for a comparison of some of these methods with the PVI technique.…”

Section: Introductionmentioning

confidence: 99%

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Clustering of Intermittent Magnetic and Flow Structures near Parker Solar Probe’s First Perihelion—A Partial-variance-of-increments Analysis

Chhiber

Goldstein

Maruca

et al. 2020

ApJS

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During the Parker Solar Probe's (PSP) first perihelion pass, the spacecraft reached within a heliocentric distance of ∼ 37 R and observed numerous magnetic and flow structures characterized by sharp gradients. To better understand these intermittent structures in the young solar wind, an important property to examine is their degree of correlation in time and space. To this end, we use the well-tested Partial Variance of Increments (PVI) technique to identify intermittent events in FIELDS and SWEAP observations of magnetic and proton-velocity fields (respectively) during PSP's first solar encounter, when the spacecraft was within 0.25 au from the Sun. We then examine distributions of waiting times between events with varying separation and PVI thresholds. We find power-law distributions for waiting times shorter than a characteristic scale comparable to the correlation time, suggesting a high degree of correlation that may originate in a clustering process. Waiting times longer than this characteristic time are better described by an exponential, suggesting a random memory-less Poisson process at play. These findings are consistent with near-Earth observations of solar wind turbulence. The present study complements the one by Dudok de Wit et al. (2019, present volume), which focuses on waiting times between observed "switchbacks" in the radial magnetic field.

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Section: Conclusion and Discussionmentioning

confidence: 67%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Clustering of Intermittent Magnetic and Flow Structures near Parker Solar Probe’s First Perihelion—A Partial-variance-of-increments Analysis

Chhiber

Goldstein

Maruca

et al. 2020

ApJS

Self Cite

View full text Add to dashboard Cite

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Small‐amplitude kinetic Alfvén solitons for hot electrons taking regularized kappa distribution in Earth's inner magnetosphere

Liu

2023

Contributions to Plasma Physics

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The kinetic Alfvén solitons in a plasma with regularized kappa distributed electron are studied under the small-amplitude assumption; the analytical solution of the kinetic Alfvén soliton is obtained using the reductive perturbation method. The numerical calculation reveals that the width and amplitude of the soliton decrease with the increase of the cut-off parameter 𝛼 for fixed spectral index 𝜅. However, the width and amplitude of the soliton increase for small spectral index and decrease for a larger spectral index in the case of the fixed cut-off parameter. The properties of the soliton can explain the observed electrostatic structure observed in the Earth's inner magnetosphere.

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Detecting Discontinuities from in-Situ Space Measurements: Method and FPGA Implementation

Munteanu

Turicu

Cret

et al. 2022

Preprint

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The analysis in real time of space data variability is essential for scientists and space mission controllers. Automated tools designed to extract key descriptors of variability are needed and solutions to adapt such algorithms for on-board computers are rare. This paper describes the design of an automated system for detecting directional discontinuities of a physical quantity and its implementation in Field-Programmable Gate Array (FPGA). The system is currently adapted for solar wind or terrestrial magnetosheath magnetic field directional discontinuities, i.e. sharp changes of the magnetic field directionality. Our detection algorithm uses analysis windows of adjustable width and averaging procedures in order to reduce the effects of random fluctuations. A sliding-window approach is designed for continuous monitoring and detection of magnetic directional discontinuities. A software implementation of the algorithm was tested using in-situ magnetic field measurements, and emphasised improvements of performance when using analysis windows of adjustable width. The FPGA implementation of the detection algorithm is built on DILIGENT Nexys 4 DDR featuring a comercial Xilinx Artix-7 device and is designed to be ported to space qualified infrastructure. The FPGA system was tested with synthetic and laboratory signals, and provides results in very good agreement with the software implementation. The FPGA system provides an efficient real-time monitoring solution using minimal computational and energy resources, and reducing the main on-board computer utilization.

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Partial Variance of Increments Method in Solar Wind Observations and Plasma Simulations

Cited by 87 publications

References 76 publications

Clustering of Intermittent Magnetic and Flow Structures near Parker Solar Probe’s First Perihelion—A Partial-variance-of-increments Analysis

Clustering of Intermittent Magnetic and Flow Structures near Parker Solar Probe’s First Perihelion—A Partial-variance-of-increments Analysis

Small‐amplitude kinetic Alfvén solitons for hot electrons taking regularized kappa distribution in Earth's inner magnetosphere

Detecting Discontinuities from in-Situ Space Measurements: Method and FPGA Implementation

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