An Intermittent Model for the $1/f$ Spectrum in the Pristine Solar Wind

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Main Authors: Brodiano, Maia, Sahraoui, Fouad, Manzini, Davide, Hadid, Lina Z., Pugliese, Facundo, Dmitruk, Pablo, Andrés, Nahuel
Format: Preprint
Published: 2025
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author Brodiano, Maia
Sahraoui, Fouad
Manzini, Davide
Hadid, Lina Z.
Pugliese, Facundo
Dmitruk, Pablo
Andrés, Nahuel
author_facet Brodiano, Maia
Sahraoui, Fouad
Manzini, Davide
Hadid, Lina Z.
Pugliese, Facundo
Dmitruk, Pablo
Andrés, Nahuel
contents We present a statistical, observational study of the $1/f$ range of solar wind turbulence, where $f$ denotes frequency, using in situ data from the Parker Solar Probe (PSP). We compute the energy cascade rate using the third order law of incompressible magnetohydrodynamic (MHD) turbulence, incorporating expansion terms to account for solar wind dynamics. Our results reveal a $1/τ$ dependence of the energy cascade rate, where $τ$ is the temporal lag, within the $1/f$ range, in contrast to the constant cascade rate in the inertial range. To explain this behavior, we propose a new intermittent model predicting a $1/\ell$ scaling of the cascade rate, where $\ell$ represents the spatial lag. The analysis of the probability density function (PDF) of magnetic field increments confirms the intermittent nature of the parallel fluctuation component, whereas the perpendicular fluctuations are found to be quasi Gaussian. These findings provide new insights into energy transfer processes in the $1/f$ range of solar wind turbulence, with potential applications in planetary magnetosheaths.
format Preprint
id arxiv_https___arxiv_org_abs_2506_04366
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle An Intermittent Model for the $1/f$ Spectrum in the Pristine Solar Wind
Brodiano, Maia
Sahraoui, Fouad
Manzini, Davide
Hadid, Lina Z.
Pugliese, Facundo
Dmitruk, Pablo
Andrés, Nahuel
Solar and Stellar Astrophysics
Plasma Physics
Space Physics
We present a statistical, observational study of the $1/f$ range of solar wind turbulence, where $f$ denotes frequency, using in situ data from the Parker Solar Probe (PSP). We compute the energy cascade rate using the third order law of incompressible magnetohydrodynamic (MHD) turbulence, incorporating expansion terms to account for solar wind dynamics. Our results reveal a $1/τ$ dependence of the energy cascade rate, where $τ$ is the temporal lag, within the $1/f$ range, in contrast to the constant cascade rate in the inertial range. To explain this behavior, we propose a new intermittent model predicting a $1/\ell$ scaling of the cascade rate, where $\ell$ represents the spatial lag. The analysis of the probability density function (PDF) of magnetic field increments confirms the intermittent nature of the parallel fluctuation component, whereas the perpendicular fluctuations are found to be quasi Gaussian. These findings provide new insights into energy transfer processes in the $1/f$ range of solar wind turbulence, with potential applications in planetary magnetosheaths.
title An Intermittent Model for the $1/f$ Spectrum in the Pristine Solar Wind
topic Solar and Stellar Astrophysics
Plasma Physics
Space Physics
url https://arxiv.org/abs/2506.04366