Fire-hose instability of inhomogeneous plasma flows with heat fluxes

In the polytropic zone of the solar wind, we have used the generalized polytrope pressure laws to investigate the dissipation of hydromagnetic waves and pressure anisotropy driven fluid instabilities in magnetized viscous plasmas including finite Larmor radius (FLR) corrections and non-ideal magnetohydrodynamic (MHD) effects. The modified dispersion properties have been analyzed in the MHD and Chew–Goldberger–Low (CGL) limits for typical conditions of solar wind and corona. The theoretical results are found to be in good agreement with the observational data, which shows that the MHD and CGL waves are dissipated due to viscous and Ohmic diffusion. The FLR and Hall parameters show destabilizing and stabilizing influence, respectively for the strong magnetic fields in the solar corona, and reversed effects in the case of weak magnetic fields in the solar wind. In the solar corona, the CGL wave dissipation attains the required damping rate in the minimum time than the MHD waves. The damping time is mainly associated with the considered parameters and was found to be larger for the MHD wave dissipation than the CGL wave dissipation. The theoretical results successfully demonstrate the role of the considered parameters on the reverse and forward shock waves and instabilities as observed in the solar wind parameters versus heliolatitude graph using Ulysses observations for r = 5.41 au. The results are helpful to explore the possibilities of MHD waves and pressure anisotropy driven fluid instabilities in the polytropic zone of the solar wind that will be most probably observed by Parker Solar Probe (PSP) mission.

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Dissipation of hydromagnetic waves in the viscous polytropic zone of the solar wind including FLR corrections, ohmic diffusion, and the Hall effect

Prajapati

Desta

Fok

et al. 2022

Monthly Notices of the Royal Astronomical Society

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Magnetohydrodynamic Kelvin–Helmholtz instabilities of supersonic shear layers with finite interface thickness and heat flux in anisotropic space plasmas

Dzhalilov

Ismayilli

2023

Monthly Notices of the Royal Astronomical Society

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The linear MHD Kelvin-Helmholtz instability (KHI) in an anisotropic plasma is studied. The governing equations obtained as the 16 moments of Boltzmann-Vlasov kinetic equations, including the heat flow, are applied. In the case of tangential discontinuity between the supersonic flows along the magnetic field calculated growth rates as functions of the anisotropic plasma properties allow us to conclude that quasi-transverse modes grow faster. Then dispersion equations for the KHI of quasi-transverse modes are derived considering the finite width of the transition zone with different velocity profiles. For these modes, when the role of heat flow is not important, the plasma parameters are controlled so that the fundamental plasma instabilities (firehose and mirror) do not affect the KHI. The problem is solved analytically, which will be helpful in verifying for numerical simulation. In contrast to the tangential discontinuity, the finite width of the transition layer confines KHI excitation as the wavenumber increases. In the general case of oblique propagation (when a heat flux complicates the problem), the boundary value problem is solved to determine the spectral eigenvalues. In particular, it is observed that fundamental plasma instabilities that arise in the transition zone between flows with a finite width can modify and considerably enhance KHI.

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Effects of heat-flux vector and Braginskii viscosity on wave dissipation and instabilities in rotating gravitating anisotropic plasmas

2022

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Fire-hose instability of inhomogeneous plasma flows with heat fluxes

Cited by 4 publications

References 38 publications

Dissipation of hydromagnetic waves in the viscous polytropic zone of the solar wind including FLR corrections, ohmic diffusion, and the Hall effect

Dissipation of hydromagnetic waves in the viscous polytropic zone of the solar wind including FLR corrections, ohmic diffusion, and the Hall effect

Magnetohydrodynamic Kelvin–Helmholtz instabilities of supersonic shear layers with finite interface thickness and heat flux in anisotropic space plasmas

Effects of heat-flux vector and Braginskii viscosity on wave dissipation and instabilities in rotating gravitating anisotropic plasmas

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