Effect of electron inertia and electrical resistivity on jeans instability of quantum plasma

2019 ◽  
Author(s):  
D. L. Sutar ◽  
R. K. Pensia ◽  
S. Sharma ◽  
V. Kumar ◽  
A. Patidar
Keyword(s):  
Electrical Resistivity ◽  
Quantum Plasma ◽  
Electron Inertia ◽  
Jeans Instability

Effect of electron inertia on radiative instability of rotating two-component gaseous plasma

2012 ◽  
Vol 90 (12) ◽  
pp. 1209-1221 ◽  
Author(s):  
A.K. Patidar ◽  
R.K. Pensia ◽  
V. Shrivastava
Keyword(s):  
Magnetic Field ◽  
Thermal Conductivity ◽  
Growth Rate ◽  
Electrical Resistivity ◽  
Heat Loss ◽  
Loss Function ◽  
Mode Analysis ◽  
Electron Inertia ◽  
Radiative Instability ◽  
Jeans Criterion

The problem of radiative instability of homogeneous rotating partially ionized plasma incorporating viscosity, porosity, and electron inertia in the presence of a magnetic field is investigated. A general dispersion relation is obtained using normal mode analysis with the help of relevant linearized perturbation equations of the problem. The modified Jeans criterion of instability is obtained. The conditions of Jeans instabilities are discussed in the different cases of interest. It is found that the simultaneous effect of viscosity, rotation, finite conductivity, and porosity of the medium does not essentially change the Jeans criterion of instability. It is also found that the presence of arbitrary radiative heat-loss function and thermal conductivity modified the conditions of Jeans instability for longitudinal propagation. It is found that, for longitudinal propagation, the conditions of radiative instability are independent of magnetic field, viscosity, rotation, finite electrical resistivity, and electron inertia, but for the transverse mode of propagation it depends upon finite electrical resistivity and strength of magnetic field and is independent of viscosity, electron inertia, and rotation. From the curves we find that viscosity has a stabilizing effect on the growth rate of instability but the thermal conductivity and density-dependent heat-loss function has a destabilizing effect on the instability growth rate.

Jeans instability of quantum plasma under the influence of hall effect

2019 ◽  
Author(s):  
R. K. Pensia ◽  
D. L. Sutar ◽  
V. Kumar ◽  
A. Patidar
Keyword(s):  
Hall Effect ◽  
Quantum Plasma ◽  
Jeans Instability

Gravitational instability of rotating magnetized quantum anisotropic plasma

2017 ◽  
Vol 83 (2) ◽  
Author(s):  
Shraddha Argal ◽  
Anita Tiwari ◽  
R. P. Prajapati ◽  
P. K. Sharma
Keyword(s):  
Gravitational Instability ◽  
Fluid Model ◽  
Longitudinal Mode ◽  
Instability Criterion ◽  
Quantum Plasma ◽  
Uniform Rotation ◽  
Longitudinal Modes ◽  
Stabilizing Effect ◽  
Jeans Instability ◽  
Transverse Propagation

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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