Quantum plasmas with or without a uniform magnetic field. II. Exact low-density free energy

1998 ◽  
Vol 58 (5) ◽  
pp. 5293-5321 ◽  
Author(s):  
F. Cornu
1971 ◽  
Vol 6 (2) ◽  
pp. 413-424 ◽  
Author(s):  
H. L. Berk ◽  
R. N. Sudan

A weak E layer in a non-uniform magnetic field will tend to precess as a rigid body in response to the radial focusing of external magnetic fields and fields due to wall currents. We study the interaction of this precessional mode with a background plasma, and we explicitly include dissipation mechanisms in the plasma, walls and external resistors. When the plasma background is treated in the MHD approximation, we find that the mode changes character from a precessional mode at low density to a compressional Alfvén wave at high density. For a very weak E layer, instability is found, even without dissipation, when a sufficiently high background plasma density is present. However, for moderate E-layer strengths, the modes are found to be stable, even with dissipation.


1969 ◽  
Vol 3 (2) ◽  
pp. 149-153
Author(s):  
Aldo Nocentini

The influence of the presence of a low density, cold plasma on the stability against electrostatic perturbations of a cylindrical layer of charged particles moving in a uniform magnetic field is considered. It is shown that the influence of the plasma is important when the thickness of the layer is small, and the effect is stabilizing or destabilizing whether the dielectric constant of the plasma is smaller or larger than 1. In particular it is shown that the plasma can cause an unstable precession of the layer.


Physica ◽  
1968 ◽  
Vol 40 (2) ◽  
pp. 290-292 ◽  
Author(s):  
W. Ebeling

1983 ◽  
Vol 30 (1) ◽  
pp. 153-168
Author(s):  
J. J. Sanderson ◽  
S. Peter Gary

Expressions are derived for transport by weak electrostatic microfluctuations driven unstable by a density gradient perpendicular to a uniform magnetic field in a Vlasov plasma. These expressions, which are evaluated for the universal and lower-hybrid density drift instabilities, provide improved physical interpretations for various wave-particle exchange frequencies previously reported. It is demonstrated that wave-particle effects generally reduce the free energy driving these instabilities, and that some forms of steady-state distribution functions are inappropriate for nonlinear theory.


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