Energy spectrum, dissipation, and spatial structures in reduced Hall magnetohydrodynamic
We analyze the effect of the Hall term in the magnetohydrodynamic turbulence under a strong externally supported magnetic field, seeing how this changes the energy cascade, the characteristic scales of the flow, and the dynamics of global magnitudes, with particular interest in the dissipation. Nume...
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_1070664X_v19_n5_p_Martin |
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todo:paper_1070664X_v19_n5_p_Martin2023-10-03T16:02:32Z Energy spectrum, dissipation, and spatial structures in reduced Hall magnetohydrodynamic Martin, L.N. Dmitruk, P. Gomez, D.O. Current sheets Energy cascade Energy spectra Fundamental structures Hall magnetohydrodynamics Hall parameters Impulsive effects Internal structure Ion skin depth Macroscopic scale Magnetohydrodynamic turbulence Reduced magnetohydrodynamics Spatial structure Energy dissipation Hall effect Kinetic theory Magnetic fields Magnetohydrodynamics We analyze the effect of the Hall term in the magnetohydrodynamic turbulence under a strong externally supported magnetic field, seeing how this changes the energy cascade, the characteristic scales of the flow, and the dynamics of global magnitudes, with particular interest in the dissipation. Numerical simulations of freely evolving three-dimensional reduced magnetohydrodynamics are performed, for different values of the Hall parameter (the ratio of the ion skin depth to the macroscopic scale of the turbulence) controlling the impact of the Hall term. The Hall effect modifies the transfer of energy across scales, slowing down the transfer of energy from the large scales up to the Hall scale (ion skin depth) and carrying faster the energy from the Hall scale to smaller scales. The final outcome is an effective shift of the dissipation scale to larger scales but also a development of smaller scales. Current sheets (fundamental structures for energy dissipation) are affected in two ways by increasing the Hall effect, with a widening but at the same time generating an internal structure within them. In the case where the Hall term is sufficiently intense, the current sheet is fully delocalized. The effect appears to reduce impulsive effects in the flow, making it less intermittent. © 2012 American Institute of Physics. Fil:Dmitruk, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Gomez, D.O. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1070664X_v19_n5_p_Martin |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Current sheets Energy cascade Energy spectra Fundamental structures Hall magnetohydrodynamics Hall parameters Impulsive effects Internal structure Ion skin depth Macroscopic scale Magnetohydrodynamic turbulence Reduced magnetohydrodynamics Spatial structure Energy dissipation Hall effect Kinetic theory Magnetic fields Magnetohydrodynamics |
spellingShingle |
Current sheets Energy cascade Energy spectra Fundamental structures Hall magnetohydrodynamics Hall parameters Impulsive effects Internal structure Ion skin depth Macroscopic scale Magnetohydrodynamic turbulence Reduced magnetohydrodynamics Spatial structure Energy dissipation Hall effect Kinetic theory Magnetic fields Magnetohydrodynamics Martin, L.N. Dmitruk, P. Gomez, D.O. Energy spectrum, dissipation, and spatial structures in reduced Hall magnetohydrodynamic |
topic_facet |
Current sheets Energy cascade Energy spectra Fundamental structures Hall magnetohydrodynamics Hall parameters Impulsive effects Internal structure Ion skin depth Macroscopic scale Magnetohydrodynamic turbulence Reduced magnetohydrodynamics Spatial structure Energy dissipation Hall effect Kinetic theory Magnetic fields Magnetohydrodynamics |
description |
We analyze the effect of the Hall term in the magnetohydrodynamic turbulence under a strong externally supported magnetic field, seeing how this changes the energy cascade, the characteristic scales of the flow, and the dynamics of global magnitudes, with particular interest in the dissipation. Numerical simulations of freely evolving three-dimensional reduced magnetohydrodynamics are performed, for different values of the Hall parameter (the ratio of the ion skin depth to the macroscopic scale of the turbulence) controlling the impact of the Hall term. The Hall effect modifies the transfer of energy across scales, slowing down the transfer of energy from the large scales up to the Hall scale (ion skin depth) and carrying faster the energy from the Hall scale to smaller scales. The final outcome is an effective shift of the dissipation scale to larger scales but also a development of smaller scales. Current sheets (fundamental structures for energy dissipation) are affected in two ways by increasing the Hall effect, with a widening but at the same time generating an internal structure within them. In the case where the Hall term is sufficiently intense, the current sheet is fully delocalized. The effect appears to reduce impulsive effects in the flow, making it less intermittent. © 2012 American Institute of Physics. |
format |
JOUR |
author |
Martin, L.N. Dmitruk, P. Gomez, D.O. |
author_facet |
Martin, L.N. Dmitruk, P. Gomez, D.O. |
author_sort |
Martin, L.N. |
title |
Energy spectrum, dissipation, and spatial structures in reduced Hall magnetohydrodynamic |
title_short |
Energy spectrum, dissipation, and spatial structures in reduced Hall magnetohydrodynamic |
title_full |
Energy spectrum, dissipation, and spatial structures in reduced Hall magnetohydrodynamic |
title_fullStr |
Energy spectrum, dissipation, and spatial structures in reduced Hall magnetohydrodynamic |
title_full_unstemmed |
Energy spectrum, dissipation, and spatial structures in reduced Hall magnetohydrodynamic |
title_sort |
energy spectrum, dissipation, and spatial structures in reduced hall magnetohydrodynamic |
url |
http://hdl.handle.net/20.500.12110/paper_1070664X_v19_n5_p_Martin |
work_keys_str_mv |
AT martinln energyspectrumdissipationandspatialstructuresinreducedhallmagnetohydrodynamic AT dmitrukp energyspectrumdissipationandspatialstructuresinreducedhallmagnetohydrodynamic AT gomezdo energyspectrumdissipationandspatialstructuresinreducedhallmagnetohydrodynamic |
_version_ |
1807321112883757056 |