Kinetic Theory and Vlasov Simulation of Nonlinear Ion-Acoustic Waves in Multi-Ion Species Plasmas

Chapman, T.; Berger, R. L.; Brunner, S.; Williams, E. A.

doi:10.1103/physrevlett.110.195004

Cited by 22 publications

(44 citation statements)

References 19 publications

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“…The Vlasov simulation results are verified to be consistent to the theoretical model of the total NFS including fluid NFS and kinetic NFS in multiion species plasmas. When kλ De = 0.1, the total NFS can reach a value nearly 15% when the nonlinear IAW amplitude |eφ/T e | reaches about 0.1, which is much larger than the total NFS in the condition of kλ De = 1/3 [33]. This indicates that when kλ De is small, the fluid NFS will reach a large level especially when the wave amplitude is large, thus dominating in the total NFS so that the fluid NFS dominants in the saturation of SBS by IAW bowing and breakup [28].…”

Section: Introductionmentioning

confidence: 99%

“…As a result, the fluid NFS from harmonic generation will dominate in the total NFS. In our paper and also in Chapman's research [33], the multiion species plasmas are considered. Therefore, the multiion species fluid NFS should be taken rather than the single-ion specie fluid NFS that was taken in Chapman's research.…”

Section: Vlasov Simulationmentioning

confidence: 99%

“…In 2013, Chapman et al researched the kinetic nonlinear frequency shift in multi-ion species plasmas. [33] In their research, in the condition of the wave number kλ De = 1/3, the KNFS dominated in the scope of wave amplitude researched. However, the fluid nonlinear frequency shift from harmonic generation made use of the result of single-ion specie plasmas that was derived by Berger [30].…”

Section: Introductionmentioning

confidence: 99%

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Fluid nonlinear frequency shift of nonlinear ion acoustic waves in multi-ion species plasmas in the small wave number region

et al. 2016

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The properties of the nonlinear frequency shift (NFS) especially the fluid NFS from the harmonic generation of the ion-acoustic wave (IAW) in multi-ion species plasmas have been researched by Vlasov simulation. The pictures of the nonlinear frequency shift from harmonic generation and particles trapping are shown to explain the mechanism of NFS qualitatively. The theoretical model of the fluid NFS from harmonic generation in multi-ion species plasmas is given and the results of Vlasov simulation are consistent to the theoretical result of multi-ion species plasmas. When the wave number kλDe is small, such as kλDe = 0.1, the fluid NFS dominates in the total NFS and will reach as large as nearly 15% when the wave amplitude |eφ/Te| ∼ 0.1, which indicates that in the condition of small kλDe, the fluid NFS dominates in the saturation of stimulated Brillouin scattering especially when the nonlinear IAW amplitude is large.

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Section: Introductionmentioning

confidence: 99%

Section: Vlasov Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fluid nonlinear frequency shift of nonlinear ion acoustic waves in multi-ion species plasmas in the small wave number region

et al. 2016

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“…It's caused by the negative nonlinear frequency shift due to the particles trapping when the IAW amplitude is large. 20,37 This phenomenon is common in the nonlinear IAW in the stimulated Brillouin scattering (SBS) 38 and other BGK modes such as nonlinear electron acoustic waves (EAWs) 39 , Langmuir waves 21 and kinetic electrostatic electron nonlinear (KEEN) waves 40 . For the linear frequency ω L is far away from the resonance frequency, no matter how large of the driver amplitude, the IAW can nearly not be excited by the driver with the linear frequency.…”

Section: Vlasov Simulationmentioning

confidence: 99%

“…In 2013, T. Chapman et al researched the kinetic nonlinear frequency shift (KNFS) of the nonlinear ion acoustic wave in CH plasmas. 20 The fundamental frequency ω 0 for Vlasov results was given by simulation. They took the frequency of the IAW of zero amplitude by extrapolating from the lowest measured amplitude cases, i. e., ω 0 = ω(φ → 0).…”

Section: Introductionmentioning

confidence: 99%

Excitation of nonlinear ion acoustic waves in CH plasmas

et al. 2016

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Excitation of nonlinear ion acoustic wave (IAW) by an external electric field is demonstrated by Vlasov simulation. The frequency calculated by the dispersion relation with no damping is verified much closer to the resonance frequency of the small-amplitude nonlinear IAW than that calculated by the linear dispersion relation. When the wave number kλ De increases, the linear Landau damping of the fast mode (its phase velocity is greater than any ion's thermal velocity) increases obviously in the region of T i /T e < 0.2 in which the fast mode is weakly damped mode. As a result, the deviation between the frequency calculated by the linear dispersion relation and that by the dispersion relation with no damping becomes larger with kλ De increasing. When kλ De is not large, such as kλ De = 0.1, 0.3, 0.5, the nonlinear IAW can be excited by the driver with the linear frequency of the modes. However, when kλ De is large, such as kλ De = 0.7, the linear frequency can not be applied to exciting the nonlinear IAW, while the frequency calculated by the dispersion relation with no damping can be applied to exciting the nonlinear IAW.

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A two-dimensional numerical study of ion-acoustic turbulence

Liu,

White,

Francisquez

et al. 2024

J. Plasma Phys.

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We investigate the linear and nonlinear evolution of the current-driven ion-acoustic instability in a collisionless plasma via two-dimensional (2-D) Vlasov–Poisson numerical simulations. We initialise the system in a stable state and gradually drive it towards instability with an imposed, weak external electric field, thus avoiding physically unrealisable super-critical initial conditions. A comprehensive analysis of the nonlinear evolution of ion-acoustic turbulence (IAT) is presented, including the detailed characteristics of the evolution of the particles’ distribution functions, (2-D) wave spectrum and the resulting anomalous resistivity. Our findings reveal the dominance of 2-D quasi-linear effects around saturation, with nonlinear effects, such as particle trapping and nonlinear frequency shifts, becoming pronounced during the later stages of the system's nonlinear evolution. Remarkably, the Kadomtsev–Petviashvili (KP) spectrum is observed immediately after the saturation of the instability. Another crucial and noteworthy result is that no steady saturated nonlinear state is ever reached: strong ion heating suppresses the instability, which implies that the anomalous resistivity associated with IAT is transient and short-lived, challenging earlier theoretical results. Towards the conclusion of the simulation, electron-acoustic waves are triggered by the formation of a double layer and strong modifications to the particle distribution induced by IAT.

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Kinetic Theory and Vlasov Simulation of Nonlinear Ion-Acoustic Waves in Multi-Ion Species Plasmas

Cited by 22 publications

References 19 publications

Fluid nonlinear frequency shift of nonlinear ion acoustic waves in multi-ion species plasmas in the small wave number region

Fluid nonlinear frequency shift of nonlinear ion acoustic waves in multi-ion species plasmas in the small wave number region

Excitation of nonlinear ion acoustic waves in CH plasmas

A two-dimensional numerical study of ion-acoustic turbulence

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