Trapped Particle Effects in the Parametric Instability of Near-Acoustic Plasma Waves

Affolter, M.; Anderegg, F.; Dubin, D. H. E.; Valentini, F.; Driscoll, C. F.

doi:10.1103/physrevlett.121.235004

Cited by 8 publications

(2 citation statements)

References 39 publications

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“…Due to the different dispersion relationships, the merging mechanism of IAWs and Langmuir waves are also different. For IAWs and other near-acoustic waves [45,46], there are multiple resonance terms, so the above model of Langmuir waves where only two main resonant modes are retained will no longer be applicable.…”

Section: Introductionmentioning

confidence: 99%

Vortex merging in ion phase-space induced by two-ion decay instability

Liu

Wang

et al. 2023

Plasma Phys. Control. Fusion

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We theoretically and numerically study the merger phenomenon of the ion-phase vortex structure in hydrogen plasma. The results indicate that the merging of vortex structures during the nonlinear evolution of ion-acoustic waves mainly owing to two-ion decay (TID) instability. When the daughter ion-acoustic waves of TID grow to be comparable to the fundamental mode, vortex merging will occur. Furthermore, the vortex-merging can abruptly convert the significant energy of the fundamental mode into subharmonic energy to result in saturation for the TID of the fundamental mode. After several vortex-merging processes, the system eventually evolves into a turbulent state. Particularly, the model of the TID growth rate has been improved by considering two additional second-order coupling terms in this paper, which agree with the simulation results much better. Finally, the importance of the electron kinetic effects in the TID process is also presented by comparing between Hybrid-Vlasov and Full-Vlasov simulations.

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Section: Introductionmentioning

confidence: 99%

Vortex merging in ion phase-space induced by two-ion decay instability

Liu

Wang

et al. 2023

Plasma Phys. Control. Fusion

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“…Our simple model neglects these small corrections. In defense of the simple model, we note that it has done a good job in predicting the frequencies and damping rates of plasma modes in many experiments with finite length nonneutral plasmas in Penning-Malmberg traps 18,32,33,35,36,39,40 .…”

Section: Introductionmentioning

confidence: 99%

Eulerian simulations of electrostatic waves in plasmas with a single sign of charge

et al. 2022

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An Eulerian, numerical simulation is used to model the launching of plasma waves in a non-neutral plasma that is confined in a Penning–Malmberg trap. The waves are launched by applying an oscillating potential to an electrically isolated sector at one end of the conducting cylinder that bounds the confinement region and are received by another electrically isolated sector at the other end of the cylinder. The launching of both Trivelpiece–Gould waves and electron acoustic waves is investigated. Adopting a stratagem, the simulation captures essential features of the finite length plasma, while retaining the numerical advantages of a simulation employing periodic spatial boundary conditions. As a benchmark test of the simulation, the results for launched Trivelpiece–Gould waves of small amplitude are successfully compared to a linearized analytic solution for these fluctuations.

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Instability of nonlinear Trivelpiece-Gould waves I: Wave degeneracies

Dubin

2019

Physics of Plasmas

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Arguments based on energy conservation are used to evaluate the fluid theory of stability of nonlinear traveling waves (pump waves) in an ideal plasma system. Instabilities growing on the pump wave are associated with wave degeneracies. The relative signs of the energies of degenerate waves, as seen in the frame of the pump wave, determine whether their amplitudes grow exponentially or merely oscillate through resonant energy exchange. This energy analysis is carried out in detail for Trivelpiece-Gould (TG) waves and is compared to numerical calculations. It is verified that nonlinear TG waves are stable with respect to 3 wave processes, but weaker 4 wave, 5 wave, and higher order wave processes cause instability over narrow wavenumber bands. A modulational instability is also identified.

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Trapped Particle Effects in the Parametric Instability of Near-Acoustic Plasma Waves

Cited by 8 publications

References 39 publications

Vortex merging in ion phase-space induced by two-ion decay instability

Vortex merging in ion phase-space induced by two-ion decay instability

Eulerian simulations of electrostatic waves in plasmas with a single sign of charge

Instability of nonlinear Trivelpiece-Gould waves I: Wave degeneracies

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