Effect of Coulomb Collisions, Landau Damping and Particle Trapping on Linear and Nonlinear Ion Aooustic Waves.

1996 ◽  
Author(s):  
Chung Chan
Keyword(s):  
Landau Damping ◽  
Particle Trapping ◽  
Coulomb Collisions ◽  
Linear And Nonlinear

Asymptotic Theory of Nonlinear Landau Damping and Particle Trapping in Waves of Finite Amplitude

1998 ◽  
Vol 81 (26) ◽  
pp. 5824-5827 ◽  
Author(s):  
M. V. Medvedev ◽  
P. H. Diamond ◽  
M. N. Rosenbluth ◽  
V. I. Shevchenko
Keyword(s):  
Asymptotic Theory ◽  
Finite Amplitude ◽  
Landau Damping ◽  
Particle Trapping ◽  
Nonlinear Landau Damping

EFFECTS OF COULOMB COLLISIONS ON LONGITUDINAL PLASMA OSCILLATIONS

1964 ◽  
Vol 42 (1) ◽  
pp. 193-199 ◽  
Author(s):  
T. W. Johnston ◽  
I. P. Shkarofsky
Keyword(s):  
Collision Frequency ◽  
Low Frequency ◽  
Planck Equation ◽  
Landau Damping ◽  
Ion Temperature ◽  
Coulomb Collisions ◽  
Coulomb Damping ◽  
Specific Heats ◽  
Longitudinal Plasma ◽  
Ion Collision

This theoretical analysis shows that the Fokker–Planck equation can be applied to obtain identical wavelength-dependent (k2) damping as previously derived from the much more complicated Liouville equation approach. It is also noted that electron (ω ~ ωp) and ion (ω ~ Ωp) oscillations are only slightly damped by Coulomb collisions. The k2 dependent damping is difficult to observe for electron oscillations but perhaps not for ion oscillations (where it is the only Coulomb damping) if Landau damping effects do not obscure the observation and if the electron temperature is not too high compared with the ion temperature. The electron and ion oscillations are effectively free (the ratio of specific heats γ multiplying the temperature is effectively 3). The low-frequency sound oscillations [Formula: see text] are isothermal for electrons (γ = 1) and can be adiabatic (γ = 5/3) or free (γ = 3) for ions as the ion–ion collision frequency is much more or less than ω.

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