Linear Kinetic Modes in Weakly Collisional Plasma

Skiff, F.; Souza-Machado, S. De; Noonan, W. A.; Case, A. W.; Good, T. N.

doi:10.1103/physrevlett.81.5820

Cited by 19 publications

(31 citation statements)

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“…Our proof of the completeness of collisional eigenmodes implies that the SO solution, if it exists (or is realized as a transient response), must be a result of the superposition of these eigenmodes. The predictions of our theory are qualitatively consistent with recent experiments involving a weakly collisional stable plasma in which the measured decay rate for the least damped electrostatic ion perturbations was found to be substantially weaker and scaled quite differently than predicted by the SO theory [6].…”

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confidence: 87%

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Complete Spectrum of Kinetic Eigenmodes for Plasma Oscillations in a Weakly Collisional Plasma

Bhattacharjee

Skiff

2004

Phys. Rev. Lett.

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Kinetic eigenmodes of plasma oscillations in a weakly collisional plasma, described by a collision operator of the Fokker-Planck type, are obtained in closed form for initial-value as well as for boundary-value problems. These eigenmodes, which are smooth and compose a complete discrete spectrum, play the same role for weakly collisional plasmas as the Case-Van Kampen modes do for collisionless plasmas.

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confidence: 87%

“…Unlike the Case -Van Kampen eigenmodes, the complete kinetic eigenmodes of the collisional problem are smooth and constitute a discrete spectrum [6,7]. The Landau-damped solutions emerge as true eigenmodes of the weakly collisional theory in the limit of zero collision [7].…”

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confidence: 97%

Complete Spectrum of Kinetic Eigenmodes for Plasma Oscillations in a Weakly Collisional Plasma

Bhattacharjee

Skiff

2004

Phys. Rev. Lett.

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“…Thus the collective eigenmodes given by the roots of ͑9͒ may be related to the spectral structure observed by Skiff et al, 11 which motivated NBS. However, such a structure is entirely consistent with the analysis of SO, who did not consider the denominator.…”

Section: ͑24͒mentioning

confidence: 76%

Damping of perturbations in weakly collisional plasmas

Short

Simon

2002

Physics of Plasmas

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New analytic results are presented for the description of waves in weakly collisional plasmas. The temporal damping of a freely propagating wave and the spatial damping of a wave driven by a localized antenna are treated. Analytic forms are given for the temporal and spatial dispersion relations of the collective modes, as well as expansions in the collisionality parameter, which facilitate analysis of the approach to the collisionless limit. The damping of the distribution function perturbations associated with plasma wave echoes is also analyzed. In the limit of weak collisionality our results are essentially in agreement with those of Su and Oberman ͓C. H. Su and C. Oberman, Phys. Rev. Lett. 20, 427 ͑1968͔͒, which have recently been disputed by Ng et al. ͓C. S. Ng, A. Bhattacharjee, and F. Skiff, Phys. Rev. Lett. 83, 1974 ͑1999͔͒.

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“…The Hermite representation was introduced already in Ref. 30 for the study of experimental measurements of ion distribution functions which also motivated the theoretical studies that followed. In contrast to matching backward and forward recurrence relations for every eigenvalue in the case of small collision frequency as performed by Ng et al, 5 we simply truncate the series at some finite order.…”

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Aspects of linear Landau damping in discretized systems

et al. 2013

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Discrete kinetic eigenmode spectra of electron plasma oscillations in weakly collisional plasma: A numerical study Phys. Plasmas 20, 012125 (2013) Non-planar ion-acoustic solitary waves and their head-on collision in a plasma with nonthermal electrons and warm adiabatic ions Phys. Plasmas 20, 012122 (2013) The incomplete plasma dispersion function: Properties and application to waves in bounded plasmas Phys. Plasmas 20, 012118 (2013) Effect of ion temperature on ion-acoustic solitary waves in a magnetized plasma in presence of superthermal electrons Phys. Plasmas 20, 012306 (2013) Additional information on Phys. Plasmas Basic linear eigenmode spectra for electrostatic Langmuir waves and drift-kinetic slab ion temperature gradient modes are examined in a series of scenarios. Collisions are modeled via a Lenard-Bernstein collision operator which fundamentally alters the linear spectrum even for infinitesimal collisionality [Ng et al., Phys. Rev. Lett. 83, 1974(1999. A comparison between different discretization schemes reveals that a Hermite representation is superior for accurately resolving the spectra compared to a finite differences scheme using an equidistant velocity grid. Additionally, it is shown analytically that any even power of velocity space hyperdiffusion also produces a Case-Van Kampen spectrum which, in the limit of zero hyperdiffusivity, matches the collisionless Landau solutions. V C 2013 American Institute of Physics. [http://dx

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Linear Kinetic Modes in Weakly Collisional Plasma

Cited by 19 publications

References 10 publications

Complete Spectrum of Kinetic Eigenmodes for Plasma Oscillations in a Weakly Collisional Plasma

Complete Spectrum of Kinetic Eigenmodes for Plasma Oscillations in a Weakly Collisional Plasma

Damping of perturbations in weakly collisional plasmas

Aspects of linear Landau damping in discretized systems

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