Slipping stream instability in anisotropic plasma with magnetic shear

Rao, Sathyanarayan; Kalra, G. L.; Talwar, Sangeeta

doi:10.1017/s0022377800003731

Cited by 13 publications

(8 citation statements)

References 3 publications

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“…This criterion was obtained by Rao, Kalra & Talwar (1968) in their study of slipping-stream instability. Also, we recover from (5.16a) the Alfve"n wave modes and from (5.166) the coupled Alfven and sonic modes, if we put a\ = a\, corresponding to the isotropic case.…”

Section: "--Mtmentioning

confidence: 99%

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Stability of an anisotropic plasma jet

Raghavachar¹

1971

J. Plasma Phys.

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The stability of an anisotropic plasma jet has been investigated using equations of Chew, Goldberger & Low (1965) in both plane and cylindrical geometries. The main conclusions are as follows:(i) For waves of small wavelength, when λ (the ratio of plasma density to the density of surrounding non-conducting medium) is much greater than unity, the plasma jet is stable only if 1/6(1 + σ) <p∥/p⊥ < 1 + 2σ, where p∥ and p⊥ denote the components of pressure parallel and perpendicular to the direction of magnetic field in the steady state, and σ denotes the ratio of magnetic pressure to the perpendicular component of plasma pressure.(ii) When λ ≫ 1, the plasma jet is unstable if the parallel component of pressure exceeds the sum of the perpendicular component of pressure and twice the magnetic pressure of the plasma.(iii) For long waves, we find that there exists an infinite number of growing and decaying waves. Expressions for the growth rates have been obtained.

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Section: "--Mtmentioning

confidence: 99%

“…Employing these equations, Talwar (1965) studied the Kelvin-Helmholtz instability, and Rao, Kalra & Talwar (1968) investigated the slipping-stream instability, obtaining modifications (due to anisotropy) to the stability criteria.…”

Section: Introductionmentioning

confidence: 99%

Stability of an anisotropic plasma jet

Raghavachar¹

1971

J. Plasma Phys.

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“…Many authors have analyzed the problem of the KH instability in an anisotropic pressure plasma 14 . Talwar 15 has investigated the KH instability of a homogeneous anisotropic pressure plasma.…”

Section: Introductionmentioning

confidence: 99%

MHD Kelvin-Helmholtz instability in the anisotropic solar wind plasma

et al. 2018

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We investigated a shear instability of the Kelvin-Helmholtz (KH) type in a plasma with temperature anisotropy under the MHD approximation. To solve the problem, a system of 16-moment MHD transport equations is used in a collisionless Bi-Maxwellian plasma, including the various components of the heat fluxes along the magnetic field. We consider supersonic flows of two semiinfinite anisotropic and homogeneous plasma layers with different physical parameters and velocities. For the general case, i.e. when the interface between these two flows is a transition layer with a finite thickness, we derived a general linear differential equation framework for determining the eigenmodes in the system. Furthermore, we considered thoroughly the limiting case of a zero thickness transition zone (contact discontinuity). The analysis enabled applying appropriate boundary conditions to derive the dispersion equation for interface waves. The obtained equation is analyzed in detail for the case when heat fluxes are absent along the discontinuity in the background state. It is shown that the shear flow excites the KH instability and "couples" the various branches of the free-plasma oscillations to each other. It is found that the region of mode interaction is determined by the resonance regions when the longitudinal phase velocities of the waves match. In the resonance flows with an average speed the KH instability occurs. The growth rates of the KH instability are calculated as a function of the parameters, including the degree of plasma anisotropy. It is found that in most cases the KH instability is dominant in the considered configuration. The obtained results are applied to the plasma conditions in the bimodal solar wind in the vicinity of the contact discontinuity between different flow patterns (fast and slow wind).

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“…11,13,22 Talwar 23 investigated the KH instability of anisotropic pressure plasma using CGL theory with perturbation in the x-direction and magnetic field parallel to the direction of the flow. Rao et al 24 discussed the KH instability of anisotropic pressure plasma using CGL theory, assuming flow perpendicular to the direction of magnetic field. Singh and Talwar 25 also investigated KH instability in a bounded slab model of a jet moving in external anisotropic pressure plasma using the CGL theory.…”

Section: Introductionmentioning

confidence: 99%

Effect of pressure anisotropy and flow velocity on Kelvin–Helmholtz instability of anisotropic magnetized plasma using generalized polytrope laws

Prajapati

Chhajlani

2010

Physics of Plasmas

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The effect of pressure anisotropy and flow velocity on the Kelvin–Helmholtz (KH) instability of two magnetized anisotropic pressure plasmas flowing relative to each other is investigated using generalized polytrope laws. The anisotropic pressure with the generalized polytrope laws is considered with three-dimensional perturbations in the description of plasma using relevant magnetohydrodynamic (MHD) set of equations. The magnetic field is assumed in the x-direction and parallel to the direction of the flow of plasma streams. A complete polytrope model is given for the considered system in terms of pressure components, magnetic field, and density of the fluids to discuss the condition of KH instability, stability, and overstability. The problem is solved using the normal mode analysis and the general dispersion relation is obtained by applying the appropriate boundary conditions. The case of nonvanishing wavenumber transverse to the direction of the stream is obtained, which represents the stationery configuration without excitation of KH instability. The longitudinal mode of propagation is discussed with conditions of KH instability, stability, and overstability for collisionless (anisotropic) double-adiabatic Chew-Goldberger-Low (CGL) and collisional (isotropic) MHD media, depending on various values of polytrope indices. The effects of pressure anisotropy, different flow velocities, and magnetic field are also discussed on the growth rate of KH instability. We observe that the presence of flow velocity and pressure anisotropy of the plasmas has a destabilizing influence on the growth rate of the system. The growth rate is found larger for MHD set of equations in comparison to the CGL set of equations. The presence of magnetic field has a stabilizing role on the growth rate of the considered system.

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Slipping stream instability in anisotropic plasma with magnetic shear

Cited by 13 publications

References 3 publications

Stability of an anisotropic plasma jet

Stability of an anisotropic plasma jet

MHD Kelvin-Helmholtz instability in the anisotropic solar wind plasma

Effect of pressure anisotropy and flow velocity on Kelvin–Helmholtz instability of anisotropic magnetized plasma using generalized polytrope laws

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