Stability of thermally conducting plasma in a variable magnetic field

Shaikh, Shaista; Khan, Aiyub; Bhatia, P. K.

doi:10.1007/s10509-007-9609-2

Cited by 22 publications

(10 citation statements)

References 22 publications

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“…It is a well established fact that gravitation plays a key role in understanding the process of fragmentation of interstellar medium, formation of stars, planets, asteroids, comets and other astrophysical objects. Shaikh et al [1] have investigated the gravitational instability of thermally conducting plasma in a variable magnetic field. Recently Dhiman and Dadwal [2] have discussed the gravitational instability of a non-uniform rotating heat-conducting medium.…”

Section: Introductionmentioning

confidence: 99%

Gravitational instability of radiative plasma with finite larmor radius corrections

Kaothekar¹,

Chhajlani²

2012

J. Phys.: Conf. Ser.

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Abstract.The effect of radiative heat-loss function and finite ion Larmor radius (FLR) corrections on the gravitational instability of infinite homogeneous viscous plasma has been investigated incorporating the effects of thermal conductivity and finite electrical resistivity. We find that radiative heat-loss function and thermal conductivity modify the Jeans criterion into radiative instability criterion. Numerical calculations have been performed to show the effect of various parameters on the growth of the gravitational instability.

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Section: Introductionmentioning

confidence: 99%

Gravitational instability of radiative plasma with finite larmor radius corrections

Kaothekar¹,

Chhajlani²

2012

J. Phys.: Conf. Ser.

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“…In the present problem we investigate the effects of electron inertia on the gravitational instability of a rotating viscous Hall plasma with arbitrary radiative heat-loss functions. Recently, Shaikh et al (2007Shaikh et al ( , 2008 have explored the problem of gravitational instability of thermally conducting partially ionized plasma in a variable magnetic field, considering the effects of Hall currents, finite conductivity, ion viscosity, thermal conductivity and collision with neutrals. In these studies, no consideration was made of the radiative effects for discussing the Jeans gravitational instability of the homogeneous plasma.…”

Section: Introductionmentioning

confidence: 99%

Self-gravitational instability of rotating viscous Hall plasma with arbitrary radiative heat-loss functions and electron inertia

Prajapati

Pensia²,

Kaothekar

et al. 2010

Astrophys Space Sci

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The effects of arbitrary radiative heat-loss functions and Hall current on the self-gravitational instability of a homogeneous, viscous, rotating plasma has been investigated incorporating the effects of finite electrical resistivity, finite electron inertia and thermal conductivity. A general dispersion relation is obtained using the normal mode analysis with the help of relevant linearized perturbation equations of the problem, and a modified Jeans criterion of instability is obtained. The conditions of modified Jeans instabilities and stabilities are discussed in the different cases of our interest. We find that the presence of arbitrary radiative heatloss functions and thermal conductivity modifies the fundamental Jeans criterion of gravitational instability into a radiative instability criterion. The Hall parameter affects only the longitudinal mode of propagation and it has no effect on the transverse mode of propagation. For longitudinal propagation, it is found that the condition of radiative instability is independent of the magnetic field, Hall parameter, finite electron inertia, finite electrical resistivity, viscosity and rotation; but for the transverse mode of propagation it depends on the finite electrical resistivity, the strength of the magnetic field, and it is independent of rotation, electron inertia and viscosity. From the curves we find that the presence of thermal conductivity, finite electrical resistivity and densitydependent heat-loss function has a destabilizing influence, while viscosity and magnetic field have a stabilizing effect on the growth rate of an instability. The effect of arbitrary

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“…The nonextensivity in the nonequilibrium plasma with Coulombian long-range interactions is investigated using the generalized q-Maxwellian velocity distribution [11], in which the formulation for the nonextensive parameter q is found and the physical meaning is given. Nonextensive statistics is also applied to study the waves and instability phenomena, such as the plasma oscillations [12,13], the relativistic Langmuir waves [14], the linear or nonlinear Landau damping [15] and, recently, Jeans' instability [16,17].…”

Section: Introductionmentioning

confidence: 99%

A nonextensive approach for the instability of current-driven ion-acoustic waves in space plasmas

Liu

2009

Physics of Plasmas

109

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The instability of current-driven ion-acoustic waves in the collisionless magnetic-field-free space plasma is investigated by using a nonextensive approach. The ions and the electrons are thought of in the power-law distributions that can be described by the generalized q-Maxwellian velocity distribution and are considered with the different nonextensive q-parameters. The generalized q-wave frequency and the generalized instability q-growth rate for the ion-acoustic waves are derived. The numerical results show that the nonextensive effects on the ion-acoustic waves are not apparent when the electron temperature is much more than the ion temperature, but they are salient when the electron temperature is not much more than the ion temperature. As compared with the electrons, the ions play a dominant role in the nonextensive effects.

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Stability of thermally conducting plasma in a variable magnetic field

Cited by 22 publications

References 22 publications

Gravitational instability of radiative plasma with finite larmor radius corrections

Gravitational instability of radiative plasma with finite larmor radius corrections

Self-gravitational instability of rotating viscous Hall plasma with arbitrary radiative heat-loss functions and electron inertia

A nonextensive approach for the instability of current-driven ion-acoustic waves in space plasmas

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