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Spectral Transfer and Karman-Howarth-Monin Equations for Compressible Hall Magnetohydrodynamics
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SYSNO ASEP 0545155 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Spectral Transfer and Karman-Howarth-Monin Equations for Compressible Hall Magnetohydrodynamics Author(s) Hellinger, Petr (UFA-U) RID, ORCID
Papini, E. (IT)
Verdini, A. (IT)
Landi, S. (IT)
Franci, L. (GB)
Matteini, L. (GB)
Montagud-Camps, V. (CZ)Number of authors 7 Article number 101 Source Title Astrophysical Journal - ISSN 0004-637X
Roč. 917, č. 2 (2021)Number of pages 11 s. Language eng - English Country US - United States Keywords solar-wind turbulence ; energy-transfer ; scale dependence ; mhd turbulence ; proton ; energetics ; cascade Subject RIV BN - Astronomy, Celestial Mechanics, Astrophysics OECD category Astronomy (including astrophysics,space science) Method of publishing Open access Institutional support UFA-U - RVO:68378289 UT WOS 000687846700001 EID SCOPUS 85114419268 DOI 10.3847/1538-4357/ac088f Annotation We derive two new forms of the Karman-Howarth-Monin (KHM) equation for decaying compressible Hall magnetohydrodynamic (MHD) turbulence. We test them on results of a weakly compressible, 2D, moderate-Reynolds-number Hall MHD simulation and compare them with an isotropic spectral transfer (ST) equation. The KHM and ST equations are automatically satisfied during the whole simulation owing to the periodic boundary conditions and have complementary cumulative behavior. They are used here to analyze the onset of turbulence and its properties when it is fully developed. These approaches give equivalent results characterizing the decay of the kinetic + magnetic energy at large scales, the MHD and Hall cross-scale energy transfer/cascade, the pressure dilatation, and the dissipation. The Hall cascade appears when the MHD one brings the energy close to the ion inertial range and is related to the formation of reconnecting current sheets. At later times, the pressure dilatation energy exchange rate oscillates around zero, with no net effect on the cross-scale energy transfer when averaged over a period of its oscillations. A reduced 1D analysis suggests that all three methods may be useful to estimate the energy cascade rate from in situ observations. Workplace Institute of Atmospheric Physics Contact Kateřina Adamovičová, adamovicova@ufa.cas.cz, Tel.: 272 016 012 ; Kateřina Potužníková, kaca@ufa.cas.cz, Tel.: 272 016 019 Year of Publishing 2022 Electronic address https://iopscience.iop.org/article/10.3847/1538-4357/ac088f
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