2014
DOI: 10.1002/2013ja019664
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Resonance broadening due to particle scattering and mode coupling in the quasi‐linear relaxation of electron beams

Abstract: Of particular interest for radio and hard X-ray diagnostics of accelerated electrons during solar flares is the understanding of the basic nonlinear mechanisms regulating the relaxation of electron beams propagating in turbulent plasmas. In this work, it is shown that in addition to scattering of beam electrons, scattering of the beam-generated Langmuir waves via for instance mode coupling can also result in broadening of the wave-particle resonance. We obtain a resonance-broadened version of weak turbulence t… Show more

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Cited by 16 publications
(19 citation statements)
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“…Therefore the resonance broadening effects due to waves' transformations on the density inhomogeneities were studied owing to numerical simulations [68]. Such problems were also considered in the frame of a statistical and analytical model [63] or by using the quasilinear theory with wave diffusion coefficients, involving resonance broadening phenomena [140].…”
Section: Particle Diffusion Processesmentioning
confidence: 99%
“…Therefore the resonance broadening effects due to waves' transformations on the density inhomogeneities were studied owing to numerical simulations [68]. Such problems were also considered in the frame of a statistical and analytical model [63] or by using the quasilinear theory with wave diffusion coefficients, involving resonance broadening phenomena [140].…”
Section: Particle Diffusion Processesmentioning
confidence: 99%
“…Drummond & Pines 1962;Vedenov et al 1962). This utilises the WKB approximation where we are treating waves as quasi-particles interacting resonantly ω pe (r) = kv, where ω pe (r) is the background plasma angular frequency (Bian et al 2014). Using f (v, r, t) as the electron distribution function and W(v, r, t) as the Langmuir wave spectral energy density in the one dimension of propagation, we can describe the time evolution using…”
Section: Modelmentioning
confidence: 99%
“…The two main effects we found of increasing density fluctuations on the electric field distribution are a reduction in the mean of log E and a broadening of the local distribution in log E, with both effects occurring at a similar rate. We explain these effects via the process of resonance broadening due to density fluctuations following Bian et al (2014), see also ; . For homogeneous plasma the wave-particle interaction has a sharp resonance function δ(ω − kv) so electrons only interact with waves that have a phase velocity equal to their velocity.…”
Section: Resonance Broadening Of the Beam-plasma Instabilitymentioning
confidence: 99%
“…For inhomogeneous plasma the waves generated by the electrons are refracted over a range ∆v. Then the plasma waves averaged over density perturbation scales can be viewed resonate with electrons over a broader region in velocity space with an extent ∆v = ∆ω/k centred at v = ω/k (Bian et al 2014).…”
Section: Resonance Broadening Of the Beam-plasma Instabilitymentioning
confidence: 99%