Ion Bernstein waves excited by an energeticion beam ion a plasma

Goede, A. P. H.; Massmann, P.; Hopman, H. J.; Kistemaker, J.

doi:10.1088/0029-5515/16/1/009

Cited by 24 publications

(11 citation statements)

References 21 publications

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“…A ring-type ion velocity distribution or an ion distribution having a non-Maxwellian perpendicular velocity component can strongly excite ion-cyclotron waves (Bohmer 1976;Bohmer, Hauck & Rynn 1976;Goede et al 1976) or waves close to the lower hybrid frequency (Seiler et al 1976). In the former case, which occurs if the beam density is of the same order as or larger than the plasma density, the waves are excited via wave-wave coupling between cyclotron modes of mode numbers n and n + 1.…”

Section: Introductionmentioning

confidence: 99%

Ion beam excitation of ion-cyclotron waves and ion heating in plasmas with drifting ions

et al. 1978

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Ion-cyclotron waves are excited by cesium and potassium ion beams in cesium and potassium Q-machine plasmas. The ion beams are injected along the magnetic field with care to avoid beam transverse velocities. The observed ion-cyclotron mode frequencies are below those driven by electron currents. These resonant instabilities are convective in character with small spatial growth rates ki/kr ≃ 0.05. Plasma ion heating is observed and is consistent with a model in which mode amplitudes are saturated by diffusion effects.

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Section: Introductionmentioning

confidence: 99%

Ion beam excitation of ion-cyclotron waves and ion heating in plasmas with drifting ions

et al. 1978

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“…(10) describes the properties of electrostatic waves propagating perpendicular to a uniform externally applied magnetic field in a spatially uniform infinite plasma. The properties of these waves over small and large time scales are relevant to a number of applications [35] including neutral beam heating in tokamaks [36,37], electrostatic cyclotron harmonic emissions in the magnetosphere [38,39], auroral precipitation [40,41], magnetic mirror loss cones [42], and electron cyclotron resonance heating [43]. Notably, the exact dispersion relation properties are determined by the equilibrium distribution function in velocity space, f 0 (v ⊥ ).…”

Section: Dory-guest-harris Instability In Warm Plasmasmentioning

confidence: 99%

Dory–Guest–Harris instability as a benchmark for continuum kinetic Vlasov–Poisson simulations of magnetized plasmas

Vogman¹,

Colella²,

Shumlak³

2014

Journal of Computational Physics

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The Dory-Guest-Harris instability is demonstrated to be a well-suited benchmark for continuum kinetic Vlasov-Poisson algorithms. The instability is a special case of perpendicularlypropagating kinetic electrostatic waves in a warm uniformly magnetized plasma. A complete derivation of the closed-form linear theory dispersion relation for the instability is presented. The electric field growth rates and oscillation frequencies specified by the dispersion relation provide concrete measures against which simulation results can be quantitatively compared. A fourth-order continuum kinetic algorithm is benchmarked against the instability, and is demonstrated to have good convergence properties and close agreement with theoretical growth rate and oscillation frequency predictions. Second-order accurate simulations are also shown to be consistent with theoretical predictions, but require higher resolution for convergence. The Dory-Guest-Harris instability benchmark extends the scope of current standard test problems by providing a substantive means of validating continuum kinetic simulations of magnetized plasmas in higher-dimensional 3D (x, v x , v y) phase space. The linear theory analysis, initial conditions, algorithm description, and comparisons between theoretical predictions and simulation results are presented.

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“…The implementation of the magnetic confinement in a compact domain is relevant to heating in tokamaks [7,28], magnetic mirror-confined plasma [8,36,44,45], and electron cyclotron resonance heating [29].…”

Section: Introductionmentioning

confidence: 99%

Magnetic confinement for the 2D axisymmetric relativistic Vlasov-Maxwell system in an annulus

Jang

Strain

Wong

2022

KRM

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Although the nuclear fusion process has received a great deal of attention in recent years, the amount of mathematical analysis that supports the stability of the system seems to be relatively insufficient. This paper deals with the mathematical analysis of the magnetic confinement of the plasma via kinetic equations. We prove the global wellposedness of the Vlasov-Maxwell system in a two-dimensional annulus when a huge (but finite-in-time) external magnetic potential is imposed near the boundary. We assume that the solution is axisymmetric. The authors hope that this work is a step towards a more generalized work on the three-dimensional Tokamak structure. The highlight of this work is the physical assumptions on the external magnetic potential well which remains finite within a finite time interval and from that, we prove that the plasma never touches the boundary. In addition, we provide a sufficient condition on the magnitude of the external magnetic potential to guarantee that the plasma is confined in an annulus of the desired thickness which is slightly larger than the initial support. Our method uses the cylindrical coordinate forms of the Vlasov-Maxwell system.

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Ion Bernstein waves excited by an energeticion beam ion a plasma

Cited by 24 publications

References 21 publications

Ion beam excitation of ion-cyclotron waves and ion heating in plasmas with drifting ions

Ion beam excitation of ion-cyclotron waves and ion heating in plasmas with drifting ions

Dory–Guest–Harris instability as a benchmark for continuum kinetic Vlasov–Poisson simulations of magnetized plasmas

Magnetic confinement for the 2D axisymmetric relativistic Vlasov-Maxwell system in an annulus

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