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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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 |
_version_ |
1768541744221126656 |