2009
DOI: 10.1063/1.3234249
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Fully nonlinear features of the energetic beam-driven instability

Abstract: The so-called Berk-Breizman model is applied to a cold bulk, weak warm beam, one-dimensional plasma, to investigate the kinetic instability arising from the resonance of a single electrostatic wave with an energetic particle beam. A Vlasov code is developed to solve the initial value problem for the full-f distribution, and the nonlinear evolution is categorized in the whole parameter space as damped, steady-state, periodic, chaotic, or chirping. The saturation level of steady-state solutions and the bifurcati… Show more

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Cited by 47 publications
(68 citation statements)
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“…The Vlasov equation in this region is treated numerically using a semi-lagrangian scheme with the code VLAP, using a CIP-CSL method 19,20 . It can be seen that this is a nonlinear equation, but for the study of interest here, we will look only at the linear phase of the evolution.…”
Section: A Core Regionmentioning
confidence: 99%
“…The Vlasov equation in this region is treated numerically using a semi-lagrangian scheme with the code VLAP, using a CIP-CSL method 19,20 . It can be seen that this is a nonlinear equation, but for the study of interest here, we will look only at the linear phase of the evolution.…”
Section: A Core Regionmentioning
confidence: 99%
“…Subcritical instabilities have been observed in BB simulations [7,8] and CDIA simulations [9]. Based on the theory, we explain the mechanism of subcritical instabilities as follows.…”
mentioning
confidence: 92%
“…We use the COBBLES code [8] to solve the initial-value problems described above. In BB simulations, the velocity distribution f 0 is designed with a constant slope such that γ L0 /ω = 0.1 [12], where γ L0 = (πω 3 )/(2k 2 n 0 )∂ v f 0 is a measure of the slope such that γ ∼ γ L0 − γ d .…”
mentioning
confidence: 99%
“…30 Boundary conditions are periodic in real space, and zero-particle flux at the velocity cutoffs v cut;s ¼ v 0;s 610v T;s . In a one-dimensional periodic system, a spatially uniform current drives a uniform electric field, which oscillates at a frequency x u ¼ x p;e ð1 þ m e =m i Þ 1=2 .…”
Section: Modelmentioning
confidence: 99%