Hall magnetohydrodynamics in a strong magnetic field
For a plasma embedded in a strong external magnetic field, the spatial structures tend to develop fine scales preferentially across the field, rather than along the parallel direction. This feature, which allowed a major simplification in the theoretical structure of one-fluid magnetohydrodynamics (...
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2008
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1070664X_v15_n10_p_Gomez http://hdl.handle.net/20.500.12110/paper_1070664X_v15_n10_p_Gomez |
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paper:paper_1070664X_v15_n10_p_Gomez2023-06-08T16:04:36Z Hall magnetohydrodynamics in a strong magnetic field Gomez, Daniel Osvaldo Dmitruk, Pablo Ariel Electron beams Fluid dynamics Fusion reactions Hydrodynamics Magnetic field effects Magnetic field measurement Magnetic fields Plasma waves Plasmas Circularly polarized Cyclotron waves Electron pressures External magnetic fields Fluid effects Fusion plasmas Hall currents Hall magnetohydrodynamics Magnetohydrodynamic equations Normal modes Physical effects Reduced magnetohydrodynamics Spatial structures Strong magnetic fields System of equations Magnetohydrodynamics For a plasma embedded in a strong external magnetic field, the spatial structures tend to develop fine scales preferentially across the field, rather than along the parallel direction. This feature, which allowed a major simplification in the theoretical structure of one-fluid magnetohydrodynamics (leading to reduced magnetohydrodynamics), is exploited here to derive what may be called the reduced Hall magnetohydrodynamic equations (RHMHD) reflecting two-fluid effects such as the Hall current and the electron pressure. These physical effects, which can be relevant in astrophysical environments and also in fusion plasmas, allow for the propagation of circularly polarized normal modes such as whistlers and shear/ion-cyclotron waves. In this paper, the RHMHD system of equations is integrated numerically, to investigate externally driven turbulence. © 2008 American Institute of Physics. Fil:Gómez, D.O. 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. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1070664X_v15_n10_p_Gomez http://hdl.handle.net/20.500.12110/paper_1070664X_v15_n10_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 |
Electron beams Fluid dynamics Fusion reactions Hydrodynamics Magnetic field effects Magnetic field measurement Magnetic fields Plasma waves Plasmas Circularly polarized Cyclotron waves Electron pressures External magnetic fields Fluid effects Fusion plasmas Hall currents Hall magnetohydrodynamics Magnetohydrodynamic equations Normal modes Physical effects Reduced magnetohydrodynamics Spatial structures Strong magnetic fields System of equations Magnetohydrodynamics |
| spellingShingle |
Electron beams Fluid dynamics Fusion reactions Hydrodynamics Magnetic field effects Magnetic field measurement Magnetic fields Plasma waves Plasmas Circularly polarized Cyclotron waves Electron pressures External magnetic fields Fluid effects Fusion plasmas Hall currents Hall magnetohydrodynamics Magnetohydrodynamic equations Normal modes Physical effects Reduced magnetohydrodynamics Spatial structures Strong magnetic fields System of equations Magnetohydrodynamics Gomez, Daniel Osvaldo Dmitruk, Pablo Ariel Hall magnetohydrodynamics in a strong magnetic field |
| topic_facet |
Electron beams Fluid dynamics Fusion reactions Hydrodynamics Magnetic field effects Magnetic field measurement Magnetic fields Plasma waves Plasmas Circularly polarized Cyclotron waves Electron pressures External magnetic fields Fluid effects Fusion plasmas Hall currents Hall magnetohydrodynamics Magnetohydrodynamic equations Normal modes Physical effects Reduced magnetohydrodynamics Spatial structures Strong magnetic fields System of equations Magnetohydrodynamics |
| description |
For a plasma embedded in a strong external magnetic field, the spatial structures tend to develop fine scales preferentially across the field, rather than along the parallel direction. This feature, which allowed a major simplification in the theoretical structure of one-fluid magnetohydrodynamics (leading to reduced magnetohydrodynamics), is exploited here to derive what may be called the reduced Hall magnetohydrodynamic equations (RHMHD) reflecting two-fluid effects such as the Hall current and the electron pressure. These physical effects, which can be relevant in astrophysical environments and also in fusion plasmas, allow for the propagation of circularly polarized normal modes such as whistlers and shear/ion-cyclotron waves. In this paper, the RHMHD system of equations is integrated numerically, to investigate externally driven turbulence. © 2008 American Institute of Physics. |
| author |
Gomez, Daniel Osvaldo Dmitruk, Pablo Ariel |
| author_facet |
Gomez, Daniel Osvaldo Dmitruk, Pablo Ariel |
| author_sort |
Gomez, Daniel Osvaldo |
| title |
Hall magnetohydrodynamics in a strong magnetic field |
| title_short |
Hall magnetohydrodynamics in a strong magnetic field |
| title_full |
Hall magnetohydrodynamics in a strong magnetic field |
| title_fullStr |
Hall magnetohydrodynamics in a strong magnetic field |
| title_full_unstemmed |
Hall magnetohydrodynamics in a strong magnetic field |
| title_sort |
hall magnetohydrodynamics in a strong magnetic field |
| publishDate |
2008 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1070664X_v15_n10_p_Gomez http://hdl.handle.net/20.500.12110/paper_1070664X_v15_n10_p_Gomez |
| work_keys_str_mv |
AT gomezdanielosvaldo hallmagnetohydrodynamicsinastrongmagneticfield AT dmitrukpabloariel hallmagnetohydrodynamicsinastrongmagneticfield |
| _version_ |
1768546360031707136 |