Quantitative study of the trapped particle bunching instability in Langmuir waves

Hara, Kentaro; Chapman, T.; Banks, Jeffrey W.; Brunner, S.; Joseph, I.; Berger, R. L.; Boyd, Iain D.

doi:10.1063/1.4906884

Cited by 22 publications

(17 citation statements)

References 20 publications

(28 reference statements)

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“…Using the same proposed approach, a more general 2D form of Eq. (8) could be derived, allowing swift calculations of the evolution of particle energy and pitch-angle distributions in many plasma systems where wave intensity and coherency are sufficient to drive nonlinear interactions, as in the Earth's radiation belts 2,3 and magnetized laboratory plasmas, 7,21 inertial confinement fusion, 4,10 or Penning-Malmberg traps.…”

Section: Phys Plasmas 23 090701 (2016)mentioning

confidence: 99%

Kinetic equation for nonlinear resonant wave-particle interaction

et al. 2016

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We investigate the nonlinear resonant wave-particle interactions including the effects of particle (phase) trapping, detrapping, and scattering by high-amplitude coherent waves. After deriving the relationship between probability of trapping and velocity of particle drift induced by nonlinear scattering (phase bunching), we substitute this relation and other characteristic equations of wave-particle interaction into a kinetic equation for the particle distribution function. The final equation has the form of a Fokker-Planck equation with peculiar advection and collision terms. This equation fully describes the evolution of particle momentum distribution due to particle diffusion, nonlinear drift, and fast transport in phase-space via trapping. Solutions of the obtained kinetic equation are compared with results of test particle simulations.

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Section: Phys Plasmas 23 090701 (2016)mentioning

confidence: 99%

Kinetic equation for nonlinear resonant wave-particle interaction

et al. 2016

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“…The boundary conditions for the Poisson equation is φ = 0 and ∂ x φ = 0 at the boundary in front of the beam. The presented results are checked for convergence using small grid sizes (0.1 mm) and a large number of computational particles (3000 particles per cell), as well as with a separate Vlasov simulation solver [27,28] with comparable grid sizes in phase space.…”

mentioning

confidence: 99%

Generation of forerunner electron beam during interaction of ion beam pulse with plasma

2018

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The long-time evolution of the two-stream instability of a cold ion beam pulse propagating though the background plasma is investigated using a large-scale one-dimensional electrostatic kinetic simulation. The three stages of the instability are identified and investigated in detail. After the initial linear growth and saturation by the electron trapping, a portion of the initially trapped electrons becomes detrapped and moves ahead of the ion beam pulse forming a forerunner electron beam, which causes a secondary two-stream instability that preheats the upstream plasma electrons. Consequently, the self-consistent nonlinear-driven turbulent state is set up at the head of the ion beam pulse with the saturated plasma wave sustained by the influx of the cold electrons from the upstream of the beam that lasts until the final stage when the beam ions become trapped by the plasma wave. The beam ion trapping leads to the nonlinear heating of the beam ions that eventually extinguishes the instability.

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“…Note: LDI related to ion modes is located around k ≈ 3, SRS around k ≈ 1.5, and SBS around k ≈ 2. finally an almost isolated LDI signal at the location of the most unstable mode k ≈ 3k o . This mode contributes to the saturation of the EPW, although satellites in the EPW remind of a possible saturation of the SRS generated EPW by modulational type instability [65,68,69] . In conclusion, even if LDI can be observed as a mechanism contributing to SRS saturation in the low temperature plasma regime, it appears to be in competition with SBS and other instabilities.…”

Section: Low K Epw λ D -Regimementioning

confidence: 99%

“…Associated to the modified distribution function a number of phenomena can coexist: kinetic inflation [15] , nonlinear frequency shift [64,66,67] , sidebands and trapped particle instabilities [65,[67][68][69] , the latter contributing to the SRS saturation. It could therefore be conjectured that in the case of multi-speckles SRS would be self-limiting due to the modification of the distribution function by formation of a hot tail, after a transient state where inflation sets in.…”

Section: High K Epw λ D -Regimementioning

confidence: 99%

Raman–Brillouin interplay for inertial confinement fusion relevant laser–plasma interaction

Riconda

Weber

2016

High Pow Laser Sci Eng

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The co-existence of the Raman and Brillouin backscattering instability is an important issue for inertial confinement fusion. The present paper presents extensive one-dimensional (1D) particle-in-cell (PIC) simulations for a wide range of parameters extending and complementing previous findings. PIC simulations show that the scenario of reflectivity evolution and saturation is very sensitive to the temperatures, intensities, size of plasma and boundary conditions employed. The Langmuir decay instability is observed for rather small k epw λ D but has no influence on the saturation of Brillouin backscattering, although there is a clear correlation of Langmuir decay instability modes and ion-fractional decay for certain parameter ranges. Raman backscattering appears at any intensity and temperature but is only a transient phenomenon. In several configurations forward as well as backward Raman scattering is observed. For the intensities considered, I λ 2 o above 10 15 W µm 2 /cm 2 , Raman is always of bursty nature. A particular setup allows the simulation of multi-speckle aspects in which case it is found that Raman is self-limiting due to strong modifications of the distribution function. Kinetic effects are of prime importance for Raman backscattering at high temperatures. No unique scenario for the saturation of Raman scattering or Raman-Brillouin competition does exist. The main effect in the considered parameter range is pump depletion because of large Brillouin backscattering. However, in the low k epw λ D regime the presence of ion-acoustic waves due to the Langmuir decay instability from the Raman created electron plasma waves can seed the ion-fractional decay and affect the Brillouin saturation.

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Quantitative study of the trapped particle bunching instability in Langmuir waves

Cited by 22 publications

References 20 publications

Kinetic equation for nonlinear resonant wave-particle interaction

Kinetic equation for nonlinear resonant wave-particle interaction

Generation of forerunner electron beam during interaction of ion beam pulse with plasma

Raman–Brillouin interplay for inertial confinement fusion relevant laser–plasma interaction

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