Effect of finite Larmor radius on the gravitational instability of a conducting plasma layer of finite thickness surrounded by a non-conducting matter

1988 ◽  
Vol 141 (1) ◽  
pp. 141-149 ◽  
Author(s):  
P. D. Ariel
Keyword(s):  
Plasma Layer ◽  
Gravitational Instability ◽  
Finite Thickness ◽  
Larmor Radius ◽  
Finite Larmor Radius

scholarly journals Rayleigh-Taylor Instability of a Compressible Plasma with Finite Larmor Radius Effects

1993 ◽  
Vol 48 (8-9) ◽  
pp. 844-850
Author(s):  
P. D. Ariel
Keyword(s):  
Magnetic Field ◽  
Variational Principle ◽  
Plasma Layer ◽  
Finite Thickness ◽  
Taylor Instability ◽  
Larmor Radius ◽  
Horizontal Magnetic Field ◽  
Finite Larmor Radius ◽  
Compressible Plasma ◽  
Rayleigh Taylor Instability

Abstract The Rayleigh-Taylor instability of a compressible plasma in the presence of a horizontal magnetic field is investigated, taking into account the effects of finite Larmor radius. Only transverse perturbations are considered. The problem is shown to be characterized by a variational principle. Using it, the dispersion relation is obtained for a plasma layer of finite thickness and having an exponentially varying density. It is found that the finite Larmor radius effects can thoroughly stabilize unstable configurations. For configurations which are not completely stabilized, the compressibility stabilizes some of the disturbances which are unstable for an incompressible plasma.

Effect of finite ion Larmor radius on the stability of rotating superposed fluids

1969 ◽  
Vol 47 (8) ◽  
pp. 831-834 ◽  
Author(s):  
G. L. Kalra
Keyword(s):  
Gravitational Instability ◽  
Equations Of Motion ◽  
Vortex Sheet ◽  
Larmor Radius ◽  
Simultaneous Presence ◽  
Uniform Rotation ◽  
Finite Larmor Radius ◽  
The Stability ◽  
Superposed Fluids ◽  
Macroscopic Equations

The effect of finite ion Larmor radius on the gravitational instability of two superposed fluids in uniform rotation is investigated for interchange perturbations, using the macroscopic equations of motion, where the finite ion Larmor radius effect is incorporated through off-diagonal terms in the pressure tensor. It is found that the region of stable wavelengths is enhanced due to the simultaneous presence of finite Larmor radius and a uniform rotation. A similar conclusion is also arrived at for the situation when a vortex sheet is present between the two superposed fluids.

Effects of collisions and gyroviscosity on gravitational instability in a two-component plasma

1972 ◽  
Vol 8 (3) ◽  
pp. 393-400 ◽  
Author(s):  
F. Herrnegger
Keyword(s):  
Gravitational Instability ◽  
Larmor Radius ◽  
Finite Larmor Radius ◽  
Two Component ◽  
Component Plasma ◽  
Jeans Criterion ◽  
Fluid Theory ◽  
The Magnetic Field ◽  
Two Fluid ◽  
Critical Wavenumber

The dispersion relation for gravitational instability has been given within the framework of a two-fluid theory. It has been shown that the Jeans criterion is changed by finite Larmor radius and by collisions for waves propagating perpendicular to the magnetic field. The critical wavenumber for instability decreases with increasing Alfvén velocity and with increasing gyroviscosity. Instability does not set in with overstabiity.

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