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Energy Transfer, Discontinuities, and Heating in the Inner Heliosphere Measured with a Weak and Local Formulation of the PolitanoPouquet Law
Author  David, V.; Galtier, S.; Sahraoui, F.; Hadid, L.~Z.; 
Keywords  Parker Data Used; interplanetary turbulence; Space plasmas; Solar wind; 830; 1544; 1534; Astrophysics  Solar and Stellar Astrophysics; Physics  Plasma Physics; Physics  Space Physics 
Abstract  The solar wind is a highly turbulent plasma for which the mean rate of energy transfer ɛ has been measured for a long time using the PolitanoPouquet (PP98) exact law. However, this law assumes statistical homogeneity that can be violated by the presence of discontinuities. Here, we introduce a new method based on the inertial dissipation $ D _I^{\sigma }$ whose analytical form is derived from incompressible magnetohydrodynamics; it can be considered as a weak and local (in space) formulation of the PP98 law whose expression is recovered after integration in space. We used $ D _I^{\sigma }$ to estimate the local energy transfer rate at scale {\ensuremath{\sigma}} from the THEMISB and Parker Solar Probe data taken in the solar wind at different heliospheric distances. Our study reveals that discontinuities near the Sun lead to a strong energy transfer that affects a wide range of scales {\ensuremath{\sigma}}. We also observe that switchbacks seem to be characterized by a singular behavior with an energy transfer varying as {\ensuremath{\sigma}} $^{3/4}$, which slightly differs from classical discontinuities characterized by a {\ensuremath{\sigma}} $^{1}$ scaling. A comparison between the measurements of ɛ and $ D _I^{\sigma }$ shows that in general the latter is significantly larger than the former. 
Year of Publication  2022 
Journal  \apj 
Volume  927 
Number of Pages  200 
Section  
Date Published  mar 
ISBN  
URL  
DOI  10.3847/15384357/ac524b 