Gravitational Instability of a Thermally Conducting Plasma in an Oblique Magnetic Field

1995 ◽  
Vol 35 (2) ◽  
pp. 165-176 ◽  
Author(s):  
P. K. Bhatia ◽  
Aiyub Khan
2006 ◽  
Vol 61 (5-6) ◽  
pp. 275-280 ◽  
Author(s):  
Shaista Shaikh ◽  
Aiyub Khan ◽  
Prem Kumar Bhatia

The gravitational instability of an infinitely extending homogenous, partially ionized plasma, permeated by an oblique magnetic field, has been studied to investigate the effects of Hall currents, finite conductivity, viscosity, collision with neutrals and thermal conductivity on the growth rate of the disturbance. The dispersion relation obtained has been solved numerically, and it has been found that Hall currents and collision with neutrals have a destabilizing influence on the growth rate while the other mechanisms reinforce the gravitational instability. Jeans’ criterion, derived within a purely hydrodynamic framework, has been rediscussed along a nonextensive kinetic theory. A new Jeans’ criterion was deduced, which depends on the nonextensive parameter q and the standard Jeans’ wave number is recovered in the limiting case q = 1


2011 ◽  
Vol 2011 ◽  
pp. 1-8 ◽  
Author(s):  
M. F. El-Sayed ◽  
R. A. Mohamed

The gravitational instability of a rotating Walters B′ viscoelastic partially ionized plasma permeated by an oblique magnetic field has been investigated in the presence of the effects of Hall currents, electrical resistivity, and ion viscosity. The dispersion relation and numerical calculations have been performed to obtain the dependence of the growth rate of the gravitational unstable mode on the various physical effects. It is found that viscosity and collision frequency of plasma have stabilizing effects, while viscoelasticity and angular frequency of rotation have destabilizing effect; the electrical resistivity has a destabilizing effect only for small wavenumbers; the density of neutral particles and the magnetic field component in z-direction have stabilizing effects for wavenumbers ranges k<5 and k<10, respectively; the Hall current has a slightly destabilizing effect. Finally, the inclination angle to z-direction has a destabilizing effect to all physical parameters.


2021 ◽  
Vol 28 (8) ◽  
pp. 083501
Author(s):  
J. Moritz ◽  
S. Heuraux ◽  
E. Gravier ◽  
M. Lesur ◽  
F. Brochard ◽  
...  

2015 ◽  
Vol 22 (4) ◽  
pp. 043511 ◽  
Author(s):  
Jan Miedzik ◽  
Serge Barral ◽  
Dariusz Daniłko

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