Relaxation of a parametric turbulence in a plasma

Andreev, N. E.; Pustovalov, V. V.; Silin, V. P.; Tikhonchuk, V. T.

doi:10.1070/qe1974v004n05abeh008134

Cited by 10 publications

(14 citation statements)

References 1 publication

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“…However, this result was not confirmed later. 17 Independently of the various expressions for the electron nonlinear frequency shift, we believe that the flattening of the electron distribution function for Ͻ the , as observed in our simulations, gives rise to a positive frequency shift. This has been discussed in Ref.…”

Section: Fluid-type Modeling Of the Kinetic Effectsmentioning

confidence: 80%

“…A similar expression was then derived in the case of a driven system with a slightly different coefficient. 17 electrons. However, this result was not confirmed later.…”

Section: Fluid-type Modeling Of the Kinetic Effectsmentioning

confidence: 98%

“…Such a modification of the ion distribution function leads to the suppression of the Landau damping, on one hand, and to a nonlinear frequency shift, on the other hand. 16,17 The existence of a nonlinear frequency shift results, in turn, in a local detuning of the three-wave resonance condition, and such a nonlinear detuning has been invoked to explain the saturation of the SBS reflectivity. 3,13,[18][19][20][21][22] The parametric decay of the driven IAW into subharmonics, a process also called the "two-ion decay," has been suggested as another mechanism to explain the saturation of the SBS reflectivity.…”

Section: Introductionmentioning

confidence: 99%

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Electron and ion kinetic effects in the saturation of a driven ion acoustic wave

et al. 2005

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The role of ion and electron kinetic effects is investigated in the context of the nonlinear saturation of a driven ion acoustic wave (IAW) and its parametric decay into subharmonics. The simulations are carried out with a full–particle-in-cell (PIC) code, in which both ions and electrons are treated kinetically. The full-PIC results are compared with those obtained from a hybrid-PIC code (kinetic ions and Boltzmann electrons). It is found that the largest differences between the two kinds of simulations take place when the IAW is driven above the ion wave-breaking limit. In such a case of a strong drive, the hybrid-PIC simulations lead to a Berstein-Greene-Kruskal-like nonlinear IAW of a large amplitude, while in the full-PIC the IAW amplitude decays to a small level after a transient stage. The electron velocity distribution function is significantly flattened in the domain of small electron velocities. As a result the nonlinear frequency shift due to the electron kinetic effects compensates partly the nonlinear frequency shift due to the ion kinetic effects, allowing then for the parametric decay of the driven IAW into subharmonics. These observations lead to the conclusion that electron kinetic effects become important whenever the nonlinear effects come into play.

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Section: Fluid-type Modeling Of the Kinetic Effectsmentioning

confidence: 80%

“…A similar expression was then derived in the case of a driven system with a slightly different coefficient. 17 electrons. However, this result was not confirmed later.…”

Section: Fluid-type Modeling Of the Kinetic Effectsmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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Electron and ion kinetic effects in the saturation of a driven ion acoustic wave

et al. 2005

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“…[2,3] Many methods have been taken to reduce the SBS scattering level, [4][5][6][7][8] including frequency detuning due to particle-trapping, [9][10][11][12][13][14] increasing linear Landau damping induced by kinetic ion heating, [15,16] nonlinear damping due to wave-breaking and trapping [17][18][19][20] or coupling with higher harmonics [21,22].…”

Section: Introductionmentioning

confidence: 99%

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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“…Earlier work on the theory and simulation of SBS has shown the importance of wave breaking and ion trapping, [1][2][3][4][6][7][8][9][10][11][12] harmonic generation, [13][14][15] and secondary instability of the ion wave. [1][2][3][4][5] In 1D simulations of SBBS, the inclusion of kinetic electrons has made a difference in the saturation of SBBS.…”

Section: Introductionmentioning

confidence: 99%

Effects of ion-ion collisions and inhomogeneity in two-dimensional kinetic ion simulations of stimulated Brillouin backscattering

et al. 2006

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Langdon, and E.A. Williams, Phys. Plasmas 4, 956 (1997)] hybrid code (kinetic particle ions and Boltzmann fluid electrons) have been used to investigate the saturation of stimulated Brillouin backscatter (SBBS) instability including the effects of ion-ion collisions and inhomogeneity. Ion-ion collisions tend to increase ion-wave dissipation, which decreases the gain exponent for stimulated Brillouin backscattering; and the peak Brillouin backscatter reflectivities tend to decrease with increasing collisionality in the simulations. Two types of Langevin-operator, ion-ion collision models were implemented in the simulations. In both models used the collisions are functions of the local ion temperature and density, but the collisions have no velocity dependence in the first model. In the second model, the collisions are also functions of the energy of the ion that is being scattered so as to represent a Fokker-Planck collision operator. Collisions decorrelate the ions from the acoustic waves in SBS, which disrupts ion trapping in the acoustic wave. Nevertheless, ion trapping leading to a hot ion tail and two-dimensional physics that allows the SBS ion waves to nonlinearly scatter remain robust saturation mechanisms for SBBS in a high-gain limit over a range of ion collisionality. SBS 2 backscatter in the presence of a spatially nonuniform plasma flow is also investigated.Simulations show that depending on the sign of the spatial gradient of the flow relative to the backscatter, ion trapping effects that produce a nonlinear frequency shift can enhance (auto-resonance) or decrease (anti-auto-resonance) reflectivities in agreement with theoretical arguments. PACS: 52.38.-r 52.65.Rr 3

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Relaxation of a parametric turbulence in a plasma

Cited by 10 publications

References 1 publication

Electron and ion kinetic effects in the saturation of a driven ion acoustic wave

Electron and ion kinetic effects in the saturation of a driven ion acoustic wave

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

Effects of ion-ion collisions and inhomogeneity in two-dimensional kinetic ion simulations of stimulated Brillouin backscattering

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