On MHD waves, fire-hose and mirror instabilities in anisotropic plasmas

Temperature or pressure anisotropies are characteristic of space plasmas, standard magnetohydrodynamic (MHD) model for describing large-scale plasma phenomena however usually assumes isotropic pressure. In this paper we examine the characteristics of MHD waves, fire-hose and mirror instabilities in...

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Main Authors: L.-N. Hau, B.-J. Wang
Format: Article
Language:English
Published: Copernicus Publications 2007-09-01
Series:Nonlinear Processes in Geophysics
Online Access:http://www.nonlin-processes-geophys.net/14/557/2007/npg-14-557-2007.pdf
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author L.-N. Hau
B.-J. Wang
author_facet L.-N. Hau
B.-J. Wang
author_sort L.-N. Hau
collection DOAJ
description Temperature or pressure anisotropies are characteristic of space plasmas, standard magnetohydrodynamic (MHD) model for describing large-scale plasma phenomena however usually assumes isotropic pressure. In this paper we examine the characteristics of MHD waves, fire-hose and mirror instabilities in anisotropic homogeneous magnetized plasmas. The model equations are a set of gyrotropic MHD equations closed by the generalized Chew-Goldberger-Low (CGL) laws with two polytropic exponents representing various thermodynamic conditions. Both ions and electrons are allowed to have separate plasma beta, pressure anisotropy and energy equations. The properties of linear MHD waves and instability criteria are examined and numerical examples for the nonlinear evolutions of slow waves, fire-hose and mirror instabilities are shown. One significant result is that slow waves may develop not only mirror instability but also a new type of compressible fire-hose instability. Their corresponding nonlinear structures thus may exhibit anticorrelated density and magnetic field perturbations, a property used for identifying slow and mirror mode structures in the space plasma environment. The conditions for nonlinear saturation of both fire-hose and mirror instabilities are examined.
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spelling doaj.art-0116f10a5dc64460bc82ab928e53a32e2022-12-21T19:10:07ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462007-09-01145557568On MHD waves, fire-hose and mirror instabilities in anisotropic plasmasL.-N. HauB.-J. WangTemperature or pressure anisotropies are characteristic of space plasmas, standard magnetohydrodynamic (MHD) model for describing large-scale plasma phenomena however usually assumes isotropic pressure. In this paper we examine the characteristics of MHD waves, fire-hose and mirror instabilities in anisotropic homogeneous magnetized plasmas. The model equations are a set of gyrotropic MHD equations closed by the generalized Chew-Goldberger-Low (CGL) laws with two polytropic exponents representing various thermodynamic conditions. Both ions and electrons are allowed to have separate plasma beta, pressure anisotropy and energy equations. The properties of linear MHD waves and instability criteria are examined and numerical examples for the nonlinear evolutions of slow waves, fire-hose and mirror instabilities are shown. One significant result is that slow waves may develop not only mirror instability but also a new type of compressible fire-hose instability. Their corresponding nonlinear structures thus may exhibit anticorrelated density and magnetic field perturbations, a property used for identifying slow and mirror mode structures in the space plasma environment. The conditions for nonlinear saturation of both fire-hose and mirror instabilities are examined.http://www.nonlin-processes-geophys.net/14/557/2007/npg-14-557-2007.pdf
spellingShingle L.-N. Hau
B.-J. Wang
On MHD waves, fire-hose and mirror instabilities in anisotropic plasmas
Nonlinear Processes in Geophysics
title On MHD waves, fire-hose and mirror instabilities in anisotropic plasmas
title_full On MHD waves, fire-hose and mirror instabilities in anisotropic plasmas
title_fullStr On MHD waves, fire-hose and mirror instabilities in anisotropic plasmas
title_full_unstemmed On MHD waves, fire-hose and mirror instabilities in anisotropic plasmas
title_short On MHD waves, fire-hose and mirror instabilities in anisotropic plasmas
title_sort on mhd waves fire hose and mirror instabilities in anisotropic plasmas
url http://www.nonlin-processes-geophys.net/14/557/2007/npg-14-557-2007.pdf
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