The kinetic theory of electromagnetic waves in an electron plasma having slowly varying parameters

Pikulin, V. D.; Stepanov, N. S.

doi:10.1007/bf01031619

Cited by 6 publications

(12 citation statements)

References 4 publications

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“…These results are reported in the present paper, which thus completes the studies in Refs. [29,37,44,45] and finally reconciles the Langmuir wave dynamics in inhomogeneous nonstationary warm plasmas with the general principles of the Lagrangian GO. Specifically, we derive a continuity equation for the wave action density and the explicit conditions under which the action is conserved.…”

Section: Introductionmentioning

confidence: 88%

“…[42,43] are erroneous, as explained in Refs. [44,45], and so is the corresponding part of Ref. [46], as argued in Appendix B.…”

Section: Introductionmentioning

confidence: 95%

“…However, the solution in Refs. [44,45] is incomplete, because collisionless plasma may not remain isotropic in the presence of inhomogeneous average flow [47]. Thus it yet remains to derive an explicit equation for a Langmuir wave in nonstationary inhomogeneous anisotropic plasma and show how the wave parameters evolve.…”

Section: Introductionmentioning

confidence: 99%

“…An accurate kinetic treatment of the thermal effects was eventually proposed in Refs. [44,45]. Particularly, it was shown that the Langmuir wave action in isotropic nonstationary collisionless plasma is conserved in the GO limit, assuming that Landau damping is insignificant.…”

Section: Introductionmentioning

confidence: 99%

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Langmuir wave linear evolution in inhomogeneous nonstationary anisotropic plasma

Dodin¹,

Geyko²,

Fisch³

2009

Physics of Plasmas

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Equations describing the linear evolution of a non-dissipative Langmuir wave in inhomogeneous nonstationary anisotropic plasma without magnetic field are derived in the geometrical optics approximation. A continuity equation is obtained for the wave action density, and the conditions for the action conservation are formulated. In homogeneous plasma, the wave fieldẼ universally scales with the electron density N asẼ ∝ N 3/4 , whereas the wavevector evolution varies depending on the wave geometry.

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Section: Introductionmentioning

confidence: 88%

“…[42,43] are erroneous, as explained in Refs. [44,45], and so is the corresponding part of Ref. [46], as argued in Appendix B.…”

Section: Introductionmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Langmuir wave linear evolution in inhomogeneous nonstationary anisotropic plasma

Dodin¹,

Geyko²,

Fisch³

2009

Physics of Plasmas

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“…The most complete kinetic derivation of an envelope equation we are aware of, for an electron wave propagating in an inhomogeneous and non stationary plasma, is that given in Ref. [4]. This derivation stems directly from Vlasov equation, linearized the sum of two contributions of distinct nature.…”

Section: Introductionmentioning

confidence: 99%

Linear wave action decay entailed by Landau damping in inhomogeneous, nonstationary and anisotropic plasma

Bénisti

2015

Preprint

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This paper addresses the linear propagation of an electron wave in a collisionless, inhomogeneous, nonstationary and anisotropic plasma. The plasma is characterized by its distribution function, f H , at zero order in the wave amplitude. This distribution function, from which are derived all the hydrodynamical quantities, may be chosen arbitrarily, provided that it solves Vlasov equation.Then, from the linearized version of the electrons equation of motion, and from Gauss law, is derived an envelope equation for the wave amplitude, assumed to evolve over time and space scales much larger than the oscillation periods of the wave. The envelope equation may be cast into an equation for the the wave action, derived from Whitham's variational principle, that demonstrates the action decay due to Landau damping. Moreover, the Landau damping rate is derived at first order in the variations of the wave number and frequency. As briefly discussed, this paper generalizes numerous previous works on the subject, provides a theoretical basis for heuristic arguments regarding the action decay, and also addresses the propagation of an externally driven wave.

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Damping of linear waves via ionization and recombination in homogeneous plasmas

Dodin

Fisch

2010

Physics of Plasmas

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The kinetic theory of electromagnetic waves in an electron plasma having slowly varying parameters

Cited by 6 publications

References 4 publications

Langmuir wave linear evolution in inhomogeneous nonstationary anisotropic plasma

Langmuir wave linear evolution in inhomogeneous nonstationary anisotropic plasma

Linear wave action decay entailed by Landau damping in inhomogeneous, nonstationary and anisotropic plasma

Damping of linear waves via ionization and recombination in homogeneous plasmas

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