Hall-magnetohydrodynamic small-scale dynamos

Magnetic field generation by dynamo action is often studied within the theoretical framework of magnetohydrodynamics (MHD). However, for sufficiently diffuse media, the Hall effect may become non-negligible. We present results from three-dimensional simulations of the Hall-MHD equations subjected to...

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Autores principales: Gómez, D.O., Mininni, P.D., Dmitruk, P.
Formato: JOUR
Materias:
Diffuse interstellar mediums
Diffuse media
Dynamo action
Energy cascade
Energy dissipation rate
Energy-transfer rate
Hall MHD
Hall parameters
Magnetic energies
Magnetic field generation
Magnetic length
Magnetic Prandtl numbers
Spatial scale
Theoretical framework
Three dimensional simulations
DC generators
Energy dissipation
Gyrators
Hall effect
Interactive devices
Magnetic fields
Prandtl number
Spectroscopy
Three dimensional computer graphics
Magnetohydrodynamics
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v82_n3_p_Gomez
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_15393755_v82_n3_p_Gomez2023-10-03T16:22:34Z Hall-magnetohydrodynamic small-scale dynamos Gómez, D.O. Mininni, P.D. Dmitruk, P. Diffuse interstellar mediums Diffuse media Dynamo action Energy cascade Energy dissipation rate Energy-transfer rate Hall MHD Hall parameters Magnetic energies Magnetic field generation Magnetic length Magnetic Prandtl numbers Spatial scale Theoretical framework Three dimensional simulations DC generators Energy dissipation Gyrators Hall effect Interactive devices Magnetic fields Prandtl number Spectroscopy Three dimensional computer graphics Magnetohydrodynamics Magnetic field generation by dynamo action is often studied within the theoretical framework of magnetohydrodynamics (MHD). However, for sufficiently diffuse media, the Hall effect may become non-negligible. We present results from three-dimensional simulations of the Hall-MHD equations subjected to random nonhelical forcing. We study the role of the Hall effect in the dynamo efficiency for different values of the Hall parameter. For small values of the Hall parameter, the small-scale dynamo is more efficient, displaying faster growth and saturating at larger amplitudes of the magnetic field. For larger values of the Hall parameter, saturation of the magnetic field is reached at smaller amplitudes than in the MHD case. We also study energy transfer rates among spatial scales and show that the Hall effect produces a reduction of the direct energy cascade at scales larger than the Hall scale, therefore leading to smaller energy dissipation rates. Finally, we present results stemming from simulations at large magnetic Prandtl numbers, which is the relevant regime in the hot and diffuse interstellar medium. In the range of magnetic Prandtl numbers considered, the Hall effect moves the peak of the magnetic energy spectrum as well as other relevant magnetic length scales toward the Hall scale. © 2010 The American Physical Society. Fil:Gómez, D.O. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Dmitruk, P. 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_15393755_v82_n3_p_Gomez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Diffuse interstellar mediums
Diffuse media
Dynamo action
Energy cascade
Energy dissipation rate
Energy-transfer rate
Hall MHD
Hall parameters
Magnetic energies
Magnetic field generation
Magnetic length
Magnetic Prandtl numbers
Spatial scale
Theoretical framework
Three dimensional simulations
DC generators
Energy dissipation
Gyrators
Hall effect
Interactive devices
Magnetic fields
Prandtl number
Spectroscopy
Three dimensional computer graphics
Magnetohydrodynamics
spellingShingle Diffuse interstellar mediums
Diffuse media
Dynamo action
Energy cascade
Energy dissipation rate
Energy-transfer rate
Hall MHD
Hall parameters
Magnetic energies
Magnetic field generation
Magnetic length
Magnetic Prandtl numbers
Spatial scale
Theoretical framework
Three dimensional simulations
DC generators
Energy dissipation
Gyrators
Hall effect
Interactive devices
Magnetic fields
Prandtl number
Spectroscopy
Three dimensional computer graphics
Magnetohydrodynamics
Gómez, D.O.
Mininni, P.D.
Dmitruk, P.
Hall-magnetohydrodynamic small-scale dynamos
topic_facet Diffuse interstellar mediums
Diffuse media
Dynamo action
Energy cascade
Energy dissipation rate
Energy-transfer rate
Hall MHD
Hall parameters
Magnetic energies
Magnetic field generation
Magnetic length
Magnetic Prandtl numbers
Spatial scale
Theoretical framework
Three dimensional simulations
DC generators
Energy dissipation
Gyrators
Hall effect
Interactive devices
Magnetic fields
Prandtl number
Spectroscopy
Three dimensional computer graphics
Magnetohydrodynamics
description Magnetic field generation by dynamo action is often studied within the theoretical framework of magnetohydrodynamics (MHD). However, for sufficiently diffuse media, the Hall effect may become non-negligible. We present results from three-dimensional simulations of the Hall-MHD equations subjected to random nonhelical forcing. We study the role of the Hall effect in the dynamo efficiency for different values of the Hall parameter. For small values of the Hall parameter, the small-scale dynamo is more efficient, displaying faster growth and saturating at larger amplitudes of the magnetic field. For larger values of the Hall parameter, saturation of the magnetic field is reached at smaller amplitudes than in the MHD case. We also study energy transfer rates among spatial scales and show that the Hall effect produces a reduction of the direct energy cascade at scales larger than the Hall scale, therefore leading to smaller energy dissipation rates. Finally, we present results stemming from simulations at large magnetic Prandtl numbers, which is the relevant regime in the hot and diffuse interstellar medium. In the range of magnetic Prandtl numbers considered, the Hall effect moves the peak of the magnetic energy spectrum as well as other relevant magnetic length scales toward the Hall scale. © 2010 The American Physical Society.
format JOUR
author Gómez, D.O.
Mininni, P.D.
Dmitruk, P.
author_facet Gómez, D.O.
Mininni, P.D.
Dmitruk, P.
author_sort Gómez, D.O.
title Hall-magnetohydrodynamic small-scale dynamos
title_short Hall-magnetohydrodynamic small-scale dynamos
title_full Hall-magnetohydrodynamic small-scale dynamos
title_fullStr Hall-magnetohydrodynamic small-scale dynamos
title_full_unstemmed Hall-magnetohydrodynamic small-scale dynamos
title_sort hall-magnetohydrodynamic small-scale dynamos
url http://hdl.handle.net/20.500.12110/paper_15393755_v82_n3_p_Gomez
work_keys_str_mv AT gomezdo hallmagnetohydrodynamicsmallscaledynamos
AT mininnipd hallmagnetohydrodynamicsmallscaledynamos
AT dmitrukp hallmagnetohydrodynamicsmallscaledynamos
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