Alfvén waves and wings in Hall magnetohydrodynamics

The problem of a conducting body moving in a magnetized plasma when the electronic pressure and Hall terms in Ohm's law cannot be neglected is analyzed in the magnetohydrodynamic approximation. Since Alfvén wings are closely related to Alfvén waves, the influence of these terms in the propagati...

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Autores principales: Sallago, Patricia Alejandra, Platzeck, Ana María
Formato: Articulo
Lenguaje:Inglés
Publicado: 2004
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/84473
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id I19-R120-10915-84473
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Astronómicas
Alfvén waves
Alfvén wings
Hall
Magnetohydrodynamics
Space plasmas
spellingShingle Ciencias Astronómicas
Alfvén waves
Alfvén wings
Hall
Magnetohydrodynamics
Space plasmas
Sallago, Patricia Alejandra
Platzeck, Ana María
Alfvén waves and wings in Hall magnetohydrodynamics
topic_facet Ciencias Astronómicas
Alfvén waves
Alfvén wings
Hall
Magnetohydrodynamics
Space plasmas
description The problem of a conducting body moving in a magnetized plasma when the electronic pressure and Hall terms in Ohm's law cannot be neglected is analyzed in the magnetohydrodynamic approximation. Since Alfvén wings are closely related to Alfvén waves, the influence of these terms in the propagation of AlfVénic perturbations of large amplitude is studied. Instead of linearizing the magnetohydrodynamic equations and searching monochromatic waves, the conditions that the group velocity be parallel to the background magnetic induction field, in the reference system in which the plasma is locally at rest, that the perturbation be incompressible, that the perturbations in velocity and the magnetic induction field be related, and that a magnitude connected to the pressure remain constant are imposed. It is shown that large-amplitude Alfvén waves can propagate in homogeneous plasmas if a "polarization condition" on the current density is fulfilled. The value of their group velocity is different from the value that it takes when simple Ohm's law is used. On the other hand, the methodology of stream functions is used for the analysis of Alfvén wings. Their existence, when the Hall term in Ohm's law is relevant, is proved, and the-relations among the plasma pressure, induction magnetic field, velocity, and electric current density in the wing are found. The present results can be applied, as an approximation, to spacecraft or space tethers moving in a circular orbit if one can consider that the density and the magnetic induction field do not change as the source is orbiting and if the influence of partial ionization can be neglected.
format Articulo
Articulo
author Sallago, Patricia Alejandra
Platzeck, Ana María
author_facet Sallago, Patricia Alejandra
Platzeck, Ana María
author_sort Sallago, Patricia Alejandra
title Alfvén waves and wings in Hall magnetohydrodynamics
title_short Alfvén waves and wings in Hall magnetohydrodynamics
title_full Alfvén waves and wings in Hall magnetohydrodynamics
title_fullStr Alfvén waves and wings in Hall magnetohydrodynamics
title_full_unstemmed Alfvén waves and wings in Hall magnetohydrodynamics
title_sort alfvén waves and wings in hall magnetohydrodynamics
publishDate 2004
url http://sedici.unlp.edu.ar/handle/10915/84473
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AT platzeckanamaria alfvenwavesandwingsinhallmagnetohydrodynamics
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