Magnetorotational Instability in Collisional Weakly Ionized Plasma with Distinct Species Velocities

In a differential rotating system, we use the incompressible multifluid model to investigate the dynamics of a weakly ionized plasma placed in a vertical background magnetic field with radial shearing. The equilibrium current is taken into account. The differences in velocities between charged speci...

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Main Authors: Chenghao Zhang, Haijun Ren
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:The Astrophysical Journal
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Online Access:https://doi.org/10.3847/1538-4357/ada89d
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author Chenghao Zhang
Haijun Ren
author_facet Chenghao Zhang
Haijun Ren
author_sort Chenghao Zhang
collection DOAJ
description In a differential rotating system, we use the incompressible multifluid model to investigate the dynamics of a weakly ionized plasma placed in a vertical background magnetic field with radial shearing. The equilibrium current is taken into account. The differences in velocities between charged species and neutrals are supposed to be related to the collisions. The analytical expression of the general local dispersion relation is derived and the effect of the shearing magnetic field is demonstrated in three different limiting cases. Momentum transfer to neutrals is neglected in the first case, and the instability criteria are provided with the involvement of magnetic field shearing. In the magnetohydrodynamic (MHD) case, the previous results are reproduced when setting the equilibrium current density to zero, and the magnetic field structure is depicted to restrain/reinforce the instability in the Keplerian system with decaying/increasing shearing. In the last case, the finite collisions with weak ionization and ion Hall effects generate another unstable vertical mode compared with the MHD case and also alleviate the unstable waves propagated between the horizontal and vertical directions.
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spelling doaj-art-61ef684d8cd84ce89c4e61127c7a7d262025-02-10T12:43:54ZengIOP PublishingThe Astrophysical Journal1538-43572025-01-01980115110.3847/1538-4357/ada89dMagnetorotational Instability in Collisional Weakly Ionized Plasma with Distinct Species VelocitiesChenghao Zhang0Haijun Ren1CAS Key Laboratory of Basic Plasma Physics, University of Science and Technology of China , Hefei 230026, People's Republic of China ; hjren@ustc.edu.cnCAS Key Laboratory of Basic Plasma Physics, University of Science and Technology of China , Hefei 230026, People's Republic of China ; hjren@ustc.edu.cnIn a differential rotating system, we use the incompressible multifluid model to investigate the dynamics of a weakly ionized plasma placed in a vertical background magnetic field with radial shearing. The equilibrium current is taken into account. The differences in velocities between charged species and neutrals are supposed to be related to the collisions. The analytical expression of the general local dispersion relation is derived and the effect of the shearing magnetic field is demonstrated in three different limiting cases. Momentum transfer to neutrals is neglected in the first case, and the instability criteria are provided with the involvement of magnetic field shearing. In the magnetohydrodynamic (MHD) case, the previous results are reproduced when setting the equilibrium current density to zero, and the magnetic field structure is depicted to restrain/reinforce the instability in the Keplerian system with decaying/increasing shearing. In the last case, the finite collisions with weak ionization and ion Hall effects generate another unstable vertical mode compared with the MHD case and also alleviate the unstable waves propagated between the horizontal and vertical directions.https://doi.org/10.3847/1538-4357/ada89dMagnetohydrodynamics
spellingShingle Chenghao Zhang
Haijun Ren
Magnetorotational Instability in Collisional Weakly Ionized Plasma with Distinct Species Velocities
The Astrophysical Journal
Magnetohydrodynamics
title Magnetorotational Instability in Collisional Weakly Ionized Plasma with Distinct Species Velocities
title_full Magnetorotational Instability in Collisional Weakly Ionized Plasma with Distinct Species Velocities
title_fullStr Magnetorotational Instability in Collisional Weakly Ionized Plasma with Distinct Species Velocities
title_full_unstemmed Magnetorotational Instability in Collisional Weakly Ionized Plasma with Distinct Species Velocities
title_short Magnetorotational Instability in Collisional Weakly Ionized Plasma with Distinct Species Velocities
title_sort magnetorotational instability in collisional weakly ionized plasma with distinct species velocities
topic Magnetohydrodynamics
url https://doi.org/10.3847/1538-4357/ada89d
work_keys_str_mv AT chenghaozhang magnetorotationalinstabilityincollisionalweaklyionizedplasmawithdistinctspeciesvelocities
AT haijunren magnetorotationalinstabilityincollisionalweaklyionizedplasmawithdistinctspeciesvelocities