A new approach to linear Landau damping

American Journal of Physics

Volumn 65, Issue 1, 1997, Pages 66-74

  Brodin, G ^a  

^a UMEÅ UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031537755     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18521     Document Type: Article

References (25)

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15. Generalizations to arbitrary distribution functions are straightforward for all three treatments described in Sees. III A and B and IV.
16. THe initial positions are assumed to be distributed homogeneously in the wave field.
17. This is one possible definition of the resonant particles. In Sec. IV we will have an alternative point of view, where particles in the (time-independent) resonant region, defined by Eq. (29), is considered as resonant.
18. x far from the phase velocity ω/k. The effect on Ẽ from these terms are negligible, however. See the Appendix for details.
19. x that we will come back to later.
20. This means that once the perturbations are present, the kinetic energy in the resonant region is lower than for the unperturbed state.
21. 1(ω/k) may be decreasing for times longer than 1/γ.
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