Nonlinear stability theorem for rotating coherent structures in a non‐neutral plasma column

1991 ◽  
Vol 3 (9) ◽  
pp. 2540-2547 ◽  
Author(s):  
Ronald C. Davidson ◽  
Steven M. Lund
1992 ◽  
Vol 4 (9) ◽  
pp. 2720-2728 ◽  
Author(s):  
Thomas M. O’Neil ◽  
Ralph A. Smith

1995 ◽  
Vol 54 (2) ◽  
pp. 173-183 ◽  
Author(s):  
H. C. Chen

A general treatment of ion resonance instability for a non-neutral plasma column is performed using a macroscopic cold-fluid-Maxwell model. The azimuthal motion of the plasma components has an important influence on the behaviour of the instability. When the electrons are in slow rotational equilibrium, the instability occurs in both slow and fast ion rotational equilibrium. However, there is stability when the electrons are in fast rotational equilibrium except that the l = 1 mode becomes unstable and independent of plasma rotation. The kink (l = 1) mode only occurs when the plasma column boundary exceeds a certain threshold value that depends on the ratio of the plasma frequency to the cyclotron frequency.


2013 ◽  
Vol 20 (4) ◽  
pp. 042120 ◽  
Author(s):  
Daniel H. E. Dubin
Keyword(s):  

2002 ◽  
Vol 65 (4) ◽  
Author(s):  
Sh. Amiranashvili ◽  
M. Y. Yu ◽  
L. Stenflo

1993 ◽  
Vol 5 (1) ◽  
pp. 19-41 ◽  
Author(s):  
Steven M. Lund ◽  
Jesus J. Ramos ◽  
Ronald C. Davidson

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