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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Detalles Bibliográficos
Autores principales: Dmitruk, Pablo Ariel, Gomez, Daniel Osvaldo
Publicado: 2012
Materias:
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
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1070664X_v19_n5_p_Martin
http://hdl.handle.net/20.500.12110/paper_1070664X_v19_n5_p_Martin
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_1070664X_v19_n5_p_Martin
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spelling paper:paper_1070664X_v19_n5_p_Martin2023-06-08T16:04:37Z Energy spectrum, dissipation, and spatial structures in reduced Hall magnetohydrodynamic Dmitruk, Pablo Ariel Gomez, Daniel Osvaldo 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. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1070664X_v19_n5_p_Martin 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
Dmitruk, Pablo Ariel
Gomez, Daniel Osvaldo
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.
author Dmitruk, Pablo Ariel
Gomez, Daniel Osvaldo
author_facet Dmitruk, Pablo Ariel
Gomez, Daniel Osvaldo
author_sort Dmitruk, Pablo Ariel
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
publishDate 2012
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1070664X_v19_n5_p_Martin
http://hdl.handle.net/20.500.12110/paper_1070664X_v19_n5_p_Martin
work_keys_str_mv AT dmitrukpabloariel energyspectrumdissipationandspatialstructuresinreducedhallmagnetohydrodynamic
AT gomezdanielosvaldo energyspectrumdissipationandspatialstructuresinreducedhallmagnetohydrodynamic
_version_ 1768544651024793600

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