Spectral Transfer and Karman-Howarth-Monin Equations for Compressible Hall Magnetohydrodynamics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985815%3A_____%2F21%3A00548014" target="_blank" >RIV/67985815:_____/21:00548014 - isvavai.cz</a>
Alternative codes found
RIV/68378289:_____/21:00545155
Result on the web
<a href="https://doi.org/10.3847/1538-4357/ac088f" target="_blank" >https://doi.org/10.3847/1538-4357/ac088f</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3847/1538-4357/ac088f" target="_blank" >10.3847/1538-4357/ac088f</a>

Result language
angličtina
Original language name
Spectral Transfer and Karman-Howarth-Monin Equations for Compressible Hall Magnetohydrodynamics
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10308 - Astronomy (including astrophysics,space science)

Project
<a href="/en/project/GA18-08861S" target="_blank" >GA18-08861S: Plasma turbulence at ion scales in the solar wind</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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