Jeans instability in a quantum dusty magnetoplasma

Salimullah, M.; Jamil, Muhammad; Shah, H. A.; Murtaza, G.

doi:10.1063/1.3070664

Cited by 61 publications

(20 citation statements)

References 22 publications

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“…In this connection, many investigators have discussed the gravitational instability of a homogeneous plasma considering the effects of various parameters (Bhatia 1967;Chhajlani and Purohit 1984;Herrnegger 1972;Sharma andThakur 1982 andVaghela 1987). Recently, Salimullah et al (2009) have investigated the Jeans gravitational instability of the quantum dusty magnetoplasma. Prajapati et al (2008) have discussed the self-gravitational instability of a rotating anisotropic heat-conducting plasma.…”

Section: Introductionmentioning

confidence: 97%

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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Section: Introductionmentioning

confidence: 97%

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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“…Dark molecular clouds, which appear to have a hierarchy in the structure of nonlinear clumps and subclumps of increasing density and reducing size, are known to be ideal sites of star formation through self-gravitational instability [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. Stellar structures are self-gravitating globes of dusty gas kept in hydrostatic equilibrium by the pressure support of internal origin against self-gravity.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear stability of pulsational mode of gravitational collapse in self-gravitating hydrostatically bounded dust molecular cloud

Karmakar

2011

Pramana - J Phys

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The pulsational mode of gravitational collapse (PMGC) in a hydrostatically bounded dust molecular cloud is responsible for the evolution of tremendous amount of energy during star formation. The source of free energy for this gravito-electrostatic instability lies in the associated self-gravity of the dispersed phase of relatively huge dust grains of solid matter over the gaseous phase of background plasma. The nonlinear stability of the same PMGC in an infinite dusty plasma model (plane geometry approximation for large wavelength fluctuation in the absence of curvature effects) is studied in a hydrostatic kind of homogeneous equilibrium configuration. By the standard reductive perturbation technique, a Korteweg-de Vries (KdV) equation for investigating the nonlinear evolution of the lowest order perturbed self-gravitational potential is developed in a time-stationary (steady-state) form, which is studied analytically as well as numerically. Different nonlinear structures (soliton-like and soliton chain-like) are found to exist in different situations. Astrophysical situations, relevant to it, are briefly discussed.

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“…In order to study the behavior of propagating modes, where the electrons and holes are drifting in opposite direction with drift velocities + 0 and − 0ℎ , respectively, we use = + , in (6), and solve it numerically, where is the real frequency of wave mode and is the growth rate.…”

Section: The Form Of Perturbations Was Considered As Exp[ ( − )]mentioning

confidence: 99%

“…Several researchers [3][4][5][6][7][8][9][10] have reported quantum effect in high density and extremely low temperature plasma media, since in these environments the de-Broglie wavelength of the plasma particles become comparable to the Debye length or other scale lengths of the plasma and consequently quantum mechanical effects become important parameter in deciding the behaviour of charged particles.…”

Section: Introductionmentioning

confidence: 99%

Drift Modified Longitudinal Electrokinetic Mode in Colloids Laden Semiconductor Quantum Plasmas

Chaudhary

Nimje

Yadav

et al. 2014

Physics Research International

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Dispersion and absorption characteristics of electrokinetic wave in unmagnetised extrinsic semiconductor with streaming carriers are analytically investigated. By using quantum hydrodynamic model, a linear dispersion relation is derived for longitudinal electrokinetic wave in colloids laden semiconductor plasma under slow electrokinetic mode regime. Results indicate that quantum effect through Bohm potential significantly modifies the dispersion and absorption characteristics of electrokinetic wave spectrum. The outcome is hoped to add substantially to the present knowledge of wave spectrum of longitudinal electrokinetic wave in colloids laden quantum semiconductor plasma subjected to a dc electric field along the direction of wave propagation.

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Jeans instability in a quantum dusty magnetoplasma

Cited by 61 publications

References 22 publications

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

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

Nonlinear stability of pulsational mode of gravitational collapse in self-gravitating hydrostatically bounded dust molecular cloud

Drift Modified Longitudinal Electrokinetic Mode in Colloids Laden Semiconductor Quantum Plasmas

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