1999
DOI: 10.1103/physrevlett.83.1974
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Kinetic Eigenmodes and Discrete Spectrum of Plasma Oscillations in a Weakly Collisional Plasma

Abstract: The damping of plasma oscillations in a weakly collisional plasma is revisited using a Fokker-Planck collision operator. It is shown that the Case-Van Kampen continuous spectrum is eliminated in the limit of zero collision frequency and replaced by a discrete spectrum. The Landau-damped solutions are recovered in this limit, but as true eigenmodes of the weakly collisional system. For small but nonzero collision frequency, the spectra and eigenmodes are qualitatively different from their counterparts in the co… Show more

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Cited by 59 publications
(92 citation statements)
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References 10 publications
(26 reference statements)
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“…2 the important result presented in [73], and rediscussed in [74]. It is well known that Landau damping in a collisionless plasma is due to the effect of the destructive interference of a continuous spectrum of singular eigenmodes (the Case-Van Kampen modes).…”
Section: Filamentation and Artificial Collisionalitymentioning
confidence: 99%
See 1 more Smart Citation
“…2 the important result presented in [73], and rediscussed in [74]. It is well known that Landau damping in a collisionless plasma is due to the effect of the destructive interference of a continuous spectrum of singular eigenmodes (the Case-Van Kampen modes).…”
Section: Filamentation and Artificial Collisionalitymentioning
confidence: 99%
“…It is well known that Landau damping in a collisionless plasma is due to the effect of the destructive interference of a continuous spectrum of singular eigenmodes (the Case-Van Kampen modes). [73] have shown that a Lenard-Bernstein collisional operator changes the spectrum of the linear Vlasov problem by replacing the singular continuous spectrum with a set of proper discrete eigenmodes, and that the Landau damping is recovered as a discrete mode (along with other modes). In this context, Fig.…”
Section: Filamentation and Artificial Collisionalitymentioning
confidence: 99%
“…One could argue that such a model is a good approximation of hot fusion plasmas since the collision frequency in such plasmas is small. However, it has been shown numerically 5 and later proved analytically 6 that for any non-zero collision frequency, collisions are important even for a correct qualitative description of the system (at least, if collisions are modeled via the Lenard-Bernstein collision operator first introduced in Ref. 4).…”
Section: Comparison Between Different Discretization Schemes For Tmentioning
confidence: 99%
“…Ng et al 5 use a Hermite representation in order to compute the Case-Van Kampen spectrum. Our first goal is to investigate if the same result can be obtained by using finite differences on an equidistant grid in velocity space which is the most common one used in numerical studies, e.g., in GENE.…”
Section: Comparison Between Different Discretization Schemes For Tmentioning
confidence: 99%
See 1 more Smart Citation