Gravitational instability of rotating magnetized quantum anisotropic plasma (original) (raw)
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Astrophysics and Space Science
Abstraet. The problem of gravitational instability of an infinite homogeneous self-gravitating medium carrying a uniform magnetic field in the presence of Hall effect has been investigated to include the effect due to rotation. The dispersion relation has been obtained. It has been found that the Jeans's criterion for the instability remains unaffected even when the effeet due to rotation is considered in the presence of Hall effect carrying a uniform magnetic.
Journal of Modern Physics, 2012
The effects of external magnetic field effects on the Rayleigh-Taylor instability in an inhomogeneous stratified quantum plasma rotating uniformly are investigated. The external magnetic field is considered in both horizontal and vertical direction. The linear growth rate is derived for the case where a plasma with exponential density distribution is confined between two rigid planes at 0 z and , by solving the linear QMHD equations into normal mode. Some special cases are particularized to explain the roles that play the variables of the problem. The results show that, the presence of both external horizontal and vertical magnetic field beside the quantum effect will bring about more stability on the growth rate of unstable configuration. The maximum stability will happen in the case of wave number parallels to or in the same direction of external horizontal magnetic field.
Jeans' Gravitational Instability of Rotating Plasma
2009
The gravitational instability of infinitely extending homogeneous rotating plasma permeated by an oblique magnetic field is considered. The solution has been obtained through the normal mode technique and dispersion relation has been derived. It is shown that Jeans' criterion remains unchanged in the present problem. The dispersion relation obtained has been solved numerically and it has been found that the Coriolis forces and viscosity have a stabilizing influence while Hall current and magnetic resistivity have destabilizing influence on the growth rate of the unstable mode of disturbance.
2011
The combined influence of the effects of Hall currents, magnetic resistivity and viscosity has been studied on the gravitational instability of rotating homogeneous unbounded plasma in an oblique magnetic field. The solution has been obtained through the normal mode technique and the dispersion relation has been derived. It is shown that Jean’s criterion for gravitational instability remains unchanged. Solving numerically the dispersion relation for conditions prevailing in an astrophysical situation, it is found that the Coriolis force, viscosity, Hall currents and finite conductivity have stabilizing influence on the instability of the plasma of disturbance.
Quantum effects on Rayleigh-Taylor instability in a vertical inhomogeneous rotating plasma
Physics of Plasmas, 2009
Quantum effects on Rayleigh-Taylor instability in inhomogeneous plasma rotating uniformly in an external magnetic field have been investigated. Using the exponential density distribution and in the presence of a fixed boundary condition, the linear growth rate is obtained and analyzed. It is shown that the Rayleigh-Taylor instability is affected by quantum and external magnetic field effects.
Quantum effects on the Rayleigh-Taylor instability in a horizontal inhomogeneous rotating plasma
Physics of Plasmas, 2009
The Rayleigh-Taylor instability is studied analytically in inhomogeneous plasma rotating uniformly in an external transverse magnetic field. The influence of the quantum mechanism is considered. For a stratified layer the linear growth rate is obtained. Some special cases that isolate the effect of various parameters on the growth rate of the Rayleigh-Taylor instability are discussed. It is shown that for some cases, the presence of the external transverse magnetic field beside the quantum effect will bring about more stability on the Rayleigh-Taylor instability.
Filamentation instability in a quantum magnetized plasma
Physics of Plasmas, 2008
The filamentation instability occurring when a non relativistic electron beam passes through a quantum magnetized plasma is investigated by means of a cold quantum magnetohydrodynamic model. It is proved that the instability can be completely suppressed by quantum effects if and only if a finite magnetic field is present. A dimensionless parameter is identified which measures the strength of quantum effects. Strong quantum effects allow for a much smaller magnetic field to suppress the instability than in the classical regime. * Electronic address: antoineclaude.bret@uclm.es
Gravitational Drift Instability in Quantum Dusty Plasmas
Zeitschrift für Naturforschung A, 2018
The dispersion relation of electrostatic waves due to multi-drifts is studied in an ambient magnetic field across three-species quantum dusty plasmas. The quantum hydrodynamic model is applied to analyze the effects of the Lorentz and the gravitational forces. It is found that the instability is excited mainly due to the E 0 × B 0 \({\mathbf{E}_{0}}\times{\mathbf{B}_{0}}\) drift of the plasma species. However, an additional g 0 × B 0 \({\mathbf{g}_{0}}\times{\mathbf{B}_{0}}\) drift associated with dust particles enhances the instability over a wide spectrum of wavevector. The role of a varying magnetic field and the number density of electrons in the wave instability are analyzed graphically. It is noticed that these factors have a significant contribution over the drift instability.
Stability of a self-gravitating homogeneous resistive plasma
Physica D: Nonlinear Phenomena, 2012
In this paper, we analyze the stability of a homogeneous self-gravitating plasma, having a non-zero resistivity. This study provides a generalization of the Jeans paradigm for determining the critical scale above which gravitational collapse is allowed.