Dispersive effects of Hall electric field in turbulence

A familiar feature of turbulence in a low collisionality turbulence is an increase in the electric field spectrum, relative to the magnetic field spectrum, at wavenumbers near the reciprocal of the ion inertial scale. This effect is commonly observed in the solar wind. Here we examine this feature n...

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Autor principal: Dmitruk, Pablo Ariel
Publicado: 2010
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0094243X_v1216_n_p184_Matthaeus
http://hdl.handle.net/20.500.12110/paper_0094243X_v1216_n_p184_Matthaeus
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spelling paper:paper_0094243X_v1216_n_p184_Matthaeus2023-06-08T15:09:06Z Dispersive effects of Hall electric field in turbulence Dmitruk, Pablo Ariel A familiar feature of turbulence in a low collisionality turbulence is an increase in the electric field spectrum, relative to the magnetic field spectrum, at wavenumbers near the reciprocal of the ion inertial scale. This effect is commonly observed in the solar wind. Here we examine this feature numerically, using a variety of simulations, including compressible Hall MHD, incompressible Hall MHD, and one-, two-, and three-dimensional cases. A feature of this type is even found in a statistical Hall MHD model with no dissipation. This leads to the conclusion that the only requirement for obtaining this dispersive effect is the Hall term in the generalized Ohm's law. Therefore this observation does not distinguish between whistler and kinetic Alfvén waves, between waves and turbulence, nor even between fluid and kinetic plasma models. © 2010 American Institute of Physics. Fil:Dmitruk, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0094243X_v1216_n_p184_Matthaeus http://hdl.handle.net/20.500.12110/paper_0094243X_v1216_n_p184_Matthaeus
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description A familiar feature of turbulence in a low collisionality turbulence is an increase in the electric field spectrum, relative to the magnetic field spectrum, at wavenumbers near the reciprocal of the ion inertial scale. This effect is commonly observed in the solar wind. Here we examine this feature numerically, using a variety of simulations, including compressible Hall MHD, incompressible Hall MHD, and one-, two-, and three-dimensional cases. A feature of this type is even found in a statistical Hall MHD model with no dissipation. This leads to the conclusion that the only requirement for obtaining this dispersive effect is the Hall term in the generalized Ohm's law. Therefore this observation does not distinguish between whistler and kinetic Alfvén waves, between waves and turbulence, nor even between fluid and kinetic plasma models. © 2010 American Institute of Physics.
author Dmitruk, Pablo Ariel
spellingShingle Dmitruk, Pablo Ariel
Dispersive effects of Hall electric field in turbulence
author_facet Dmitruk, Pablo Ariel
author_sort Dmitruk, Pablo Ariel
title Dispersive effects of Hall electric field in turbulence
title_short Dispersive effects of Hall electric field in turbulence
title_full Dispersive effects of Hall electric field in turbulence
title_fullStr Dispersive effects of Hall electric field in turbulence
title_full_unstemmed Dispersive effects of Hall electric field in turbulence
title_sort dispersive effects of hall electric field in turbulence
publishDate 2010
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0094243X_v1216_n_p184_Matthaeus
http://hdl.handle.net/20.500.12110/paper_0094243X_v1216_n_p184_Matthaeus
work_keys_str_mv AT dmitrukpabloariel dispersiveeffectsofhallelectricfieldinturbulence
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