Experimental study of the collisional parallel velocity shear instability

1997 ◽  
Vol 102 (A12) ◽  
pp. 27249-27255 ◽  
Author(s):  
J. Willig ◽  
R. L. Merlino ◽  
N. D'Angelo
Keyword(s):  
Experimental Study ◽  
Velocity Shear ◽  
Shear Instability

Experimental study of the parallel velocity shear instability

1997 ◽  
Vol 236 (3) ◽  
pp. 223-226 ◽  
Author(s):  
J Willig ◽  
R.L Merlino ◽  
N D'Angelo
Keyword(s):  
Experimental Study ◽  
Velocity Shear ◽  
Shear Instability

Nonlinear saturation of the parallel velocity shear instability

1996 ◽  
Vol 3 (8) ◽  
pp. 3185-3187 ◽  
Author(s):  
William Daughton ◽  
Stefano Migliuolo
Keyword(s):  
Velocity Shear ◽  
Shear Instability ◽  
Nonlinear Saturation

Three-dimensional simulations of the parallel velocity shear instability

1997 ◽  
Vol 4 (2) ◽  
pp. 300-309 ◽  
Author(s):  
D. R. McCarthy ◽  
A. E. Booth ◽  
J. F. Drake ◽  
P. N. Guzdar
Keyword(s):  
Three Dimensional ◽  
Velocity Shear ◽  
Shear Instability ◽  
Three Dimensional Simulations

Velocity-shear instability of relativistic electron beams: a systematic exploration of the entire(ω, k) space

1992 ◽  
Vol 48 (3) ◽  
pp. 453-464
Author(s):  
D. Heristchi ◽  
S. Cuperman
Keyword(s):  
Relativistic Electron ◽  
Electromagnetic Waves ◽  
Electron Beams ◽  
Velocity Shear ◽  
Shear Instability ◽  
Marginal Stability ◽  
Physical Parameters ◽  
Complex Frequency ◽  
Relativistic Electron Beams ◽  
Solution Methods

Using the exact solution methods developed and illustrated previously, we systematically explore (ω, k) space in order to determine all the unstable modes of velocity-shear-produced electromagnetic waves in magnetized, relativistic electron beams (here ω and k are the complex frequency and real wavenumber). This is done for various physical parameters of the problem, namely shear factor and ratio of pipe to beam radii. The solution of the dispersion relation is supplemented by a marginal stability analysis based on the behaviour of the turning points of the purely real-frequency solution ωr, (k): these are bifurcation points where complex solutions originate or terminate.

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