Stability of a rotating plasma with anisotropic pressure

Tandon, J. N.; Talwar, Sangeeta

doi:10.1088/0029-5515/3/2/003

Cited by 18 publications

(4 citation statements)

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“…[15][16][17][18][19] Gliddon 20 has investigated the gravitational instability of anisotropic pressure plasma using the CGL fluid theory and found that for anisotropic velocity distribution plasma exhibits the "firehose" and the gravitational instabilities. It has been also observed that the "firehose" instability criterion in collisionless anisotropic pressure plasma remains unaffected due to the presence of heat-flux corrections.…”

Section: Introductionmentioning

confidence: 99%

Low frequency waves and gravitational instability in homogeneous magnetized gyrotropic quantum plasma

Prajapati

2014

Physics of Plasmas

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In this work, the low frequency waves and gravitational (Jeans) instability of a homogeneous gyrotropic, magnetized, quantum plasma is investigated using the quantum magnetohydrodynamic and Chew-Goldberger-Low fluid models. An analytical dispersion relation for the considered system is obtained solving the linearized perturbations equations employing the Fourier transformation. The onset criterion of the “firehose” instability is retained in parallel propagation, which is unaffected due to the presence of quantum corrections. The gravitational mode modified by the quantum corrections is obtained separately along with the “firehose” mode. In perpendicular propagation, the quantum diffraction term is coupled with the Jeans and Alfven modes whereas in parallel propagation, the Alfven mode does not contribute to the dispersion characteristics as it leads to the “firehose” instability criterion in terms of quantum pressure anisotropy. The stabilizing influences of the quantum diffraction parameter and magnetic field on the growth rates of Jeans instability are examined. It is observed that the growth rate stabilizes much faster in transverse mode due to Alfven stabilization as compared to the longitudinal mode of propagation.

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Section: Introductionmentioning

confidence: 99%

Low frequency waves and gravitational instability in homogeneous magnetized gyrotropic quantum plasma

Prajapati

2014

Physics of Plasmas

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“…The problems of astrophysical interest in rarefied plasma have been investigated by many workers. GLIDDON [5] has discussed the condition of 'hose' and gravitational instability for a homogeneous collisionless plasma The instability condition of a rotating plasma with anisotropic pressure has been investigated by TANDON and TALWAR [6], and BHATIA [7]. ABRAHAM-SHRAUNER [8] has studied the propagation of hydromagnetic waves through an anisotropic plasma by plotting phase speed polar diagrams.…”

Section: Introductionmentioning

confidence: 99%

Magnetogravitational Instability of Anisotropic Plasma with Finite Ion Larmor and Generalized Polytrope Law

Chhajlani

Parihar

1994

Contrib. Plasma Phys.

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The effect of finite ion Larmor radius corrections on the propagation of small perturbations through self gravitating, anisotropic system with generalized polytrope law is investigated. The polytrope laws are considered for the pressure components in parallel and perpendicular directions to the magnetic field. The polytrope model proposed by ABRAHAM-SHRANUER can be reduced to CGL equations with double adiabatic equations of state and MHD set of equations with isothermal equation of state. The effects of FLR and polytrope indices are discussed on the gravitational, firehose and mirror instability. The critical Jeans wave numbers are found to depend on polytropic indices and derived for CGL and M H D cases. The FLR corrections are found effective in shorter wave length region and produce stabilizing influence. The condition of mirror instability is uninfluenced by FLR but dependent on polytropic indices.

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“…Bhatia & Chhonkar (1985) studied the instability in a horizontal layer of stratified compressible isotropic and anisotropic plasmas including the effect of the Coriolis force and finite ion Larmor radius simultaneously and observed that the Coriolis force has a stabilizing influence on the instability. Tandon & Talwar (1963) have discussed the stability of a rotating plasma with an anisotropic pressure. Hau & Wang (2013) have investigated the effects of Hall current and electron temperature anisotropy on proton firehose instabilities.…”

Section: Introductionmentioning

confidence: 99%

Gravitational instability of rotating magnetized quantum anisotropic plasma

et al. 2017

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The present problem deals with the study of gravitational (Jeans) instability of magnetized, rotating, anisotropic plasmas considering quantum effects. The basic equations of the considered system are constructed using combined Chew–Goldberger–Low (CGL) fluid model and quantum magnetohydrodynamic (QMHD) fluid model. A dispersion relation is obtained using the normal mode technique which is discussed for transverse and longitudinal modes of propagation. It is found that a rotating quantum plasma influences the gravitational mode in transverse propagation but not in longitudinal propagation. The presence of rotation decreases the critical wavenumber and it has a stabilizing effect on the Jeans instability criterion of magnetized quantum plasma in transverse propagation. The firehose instability is unaffected due to the presence of uniform rotation and quantum corrections. We observe from the numerical analysis that region of instability and critical Jeans wavenumber are both decreased due to the presence of uniform rotation. The stabilizing influence of uniform rotation is observed for magnetized, rotating, anisotropic plasmas in the presence of quantum correction. In the case of a longitudinal mode of propagation we found the Jeans instability criterion is not affected by rotation. The quantum diffraction term has a stabilizing effect on the growth rate of the Jeans instability when the wave propagates along the direction of the magnetic field.

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Stability of a rotating plasma with anisotropic pressure

Cited by 18 publications

References 1 publication

Low frequency waves and gravitational instability in homogeneous magnetized gyrotropic quantum plasma

Low frequency waves and gravitational instability in homogeneous magnetized gyrotropic quantum plasma

Magnetogravitational Instability of Anisotropic Plasma with Finite Ion Larmor and Generalized Polytrope Law

Gravitational instability of rotating magnetized quantum anisotropic plasma

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