Bounce Resonance Scattering of Radiation Belt Electrons by Low‐Frequency Hiss: Comparison With Cyclotron and Landau Resonances

Cao, Xing; Ni, Binbin; Summers, Danny; Zou, Zhengyang; Fu, Song; Zhang, Wenxun

doi:10.1002/2017gl075104

Cited by 32 publications

(34 citation statements)

References 35 publications

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“…Thus, we narrow the pitch angle range in 70° to 90° and compare the pitch angle scattering coefficients in Figures a2–e2. Since bounce resonant interactions are also thought to effectively scatter near‐equatorially mirroring electrons (Cao et al, ), here we add the bounce resonant scattering coefficients by QLT method for comparison. We can see that the results of TP simulations agree with QLT result for Landau resonance only in a narrow pitch angle range for different energies.…”

Section: Model Resultsmentioning

confidence: 99%

“…During this interval, the equatorial background field B 0 and the ambient plasma density are 325.7 nT and 474 cm −3 , respectively. This event has been reported and studied as a typical low‐frequency hiss model (Cao et al, ; Li et al, ; Ni et al, ). Specifically, the low‐frequency hiss has a non‐Gaussian wave distribution ranging between 20 Hz and 2 kHz, peaking at ~49 Hz with an averaged wave amplitude of 175 pT (see Figure S1 in the supporting information).…”

Section: Model Descriptionmentioning

confidence: 91%

“…Additionally, Chen et al () and Maldonado et al () carefully studied the bounce resonance between MS waves and radiation belts electrons and discussed the importance of the competition between the Landau and bounce resonances for the near‐equatorially mirroring electron dynamics. Following those studies, Cao et al () demonstrated that the low‐frequency hiss with significant wave power below 100 Hz can bounce resonate efficiently with radiation belt electrons, and the timescale associated with bounce resonance scattering can be comparable to or even less than 1 h for near‐equatorially mirroring electrons.…”

Section: Introductionmentioning

confidence: 95%

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Combined Scattering of Radiation Belt Electrons by Low‐Frequency Hiss: Cyclotron, Landau, and Bounce Resonances

et al. 2020

Geophysical Research Letters

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Low‐frequency hiss is known to play an important role in the precipitation of radiation belt electrons by cyclotron, Landau, and bounce resonances. To investigate the potential combined scattering effect caused by these resonant processes, we analyze the resonant conditions and develop a full relativistic test particle code to quantify the net pitch angle scattering efficiency. It is indicated that the three resonance processes can coexist to scatter electrons at different energies and pitch angles, with the net pitch angle scattering rates up to ~10−3 s−1 for low‐frequency hiss ~175 pT at L = 4.5. Comparisons with the quasi‐linear theory results demonstrate that the cyclotron resonance is mainly responsible for the pitch angle scattering of electrons < ~ 80°, while both Landau and bounce resonances can affect the scattering of near‐equatorially mirroring electrons and their combined diffusion produces smaller scattering coefficients compared to quasi‐linear theory calculations.

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Section: Model Resultsmentioning

confidence: 99%

Section: Model Descriptionmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 95%

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Combined Scattering of Radiation Belt Electrons by Low‐Frequency Hiss: Cyclotron, Landau, and Bounce Resonances

et al. 2020

Geophysical Research Letters

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“…Based on previous theories (Cao et al, ; Tao & Li, ), the electron scattering rates caused by bounce resonance are given as follows:

D_{αα} = D_{WW} {(\frac{{sin}^{2} α_{eq} tan α_{eq}}{2 M B_{eq}})}^{2}, D_{αE} = - D_{WW} \frac{{sin}^{2} α_{eq} tan α_{eq}}{2 M B_{eq}} \frac{1}{γ}, D_{EE} = D_{WW} {(\frac{1}{γ})}^{2},

where

D_{WW} = \frac{1}{2 normalπ} {(\frac{p cos α_{eq}}{m_{normale}})}^{2} \sum_{l = 1}^{\infty} \int scriptF ((),, l ω_{b}, k_{∥}) ([], {(∆ W_{1 l} + ∆ W_{2 l})}^{2} + ∆ {W_{3 l}}^{2}) d k_{∥},

∆ W_{1 l} = \frac{l}{z_{0}} J_{l} ((), z_{0}) ([], 2 θ_{m} + sin ((), 2 θ_{m})),

∆ W_{2 l} = \sum_{\begin{matrix} (||, l^{'} - l) \neq 1 \\ l^{'} - l = odd \end{matrix}} J_{l^{'}} ((), z_{0}) ([], sin ((), l_{+} θ_{}))

…”

Section: Effect Of Low‐harmonic Ms Waves On the Radiation Belt Electronsmentioning

confidence: 99%

Effect of Low‐Harmonic Magnetosonic Waves on the Radiation Belt Electrons Inside the Plasmasphere

Cui

et al. 2019

JGR Space Physics

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In this paper, we presented two observational cases and simulations to indicate the relationship between the formation of butterfly‐like electron pitch angle distributions and the emission of low‐harmonic (LH) fast magnetosonic (MS) waves inside the high‐density plasmasphere. In the wave emission region, the pitch angle of relativistic (>1 MeV) electrons becomes obvious butterfly‐like distributions for both events (near‐equatorially mirroring electrons are transported to lower pitch angles). Unlike relativistic (>1 MeV) electrons, energetic electrons (<1 MeV) change slightly, except that relatively low‐energy electrons (<~150 keV) show butterfly‐like distributions in the 21 August 2013 event. In theory, the LH MS waves can affect different‐energy electrons through the bounce resonance, Landau resonance, and transit time scattering. By performing the Fokker‐Planck diffusion simulations, we demonstrate that the bounce resonance with the LH MS waves mainly leads to the butterfly pitch angle distribution of MeV electrons, whereas the Landau resonance and transit time scattering mainly affect energetic electrons in the high‐density region.

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“…Additionally, electron bounce resonant scattering has been shown to be possible with H + band electromagnetic ion cyclotron (EMIC) waves and low-frequency hiss (Cao, Ni, Summers, Bortnik, et al, 2017;Cao, Ni, Summers, Zou, et al, 2017) and could be affected by the Larmor radius effect depending on propagation angle, plasma density, and other geomagnetic conditions. Our bounce resonance diffusion coefficients are comparable in magnitude to those due to cyclotron resonance such as chorus waves (Shprits et al, 2006).…”

Section: 1002/2017gl076560mentioning

confidence: 99%

On the Diffusion Rates of Electron Bounce Resonant Scattering by Magnetosonic Waves

Maldonado

Chen

2018

Geophysical Research Letters

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Magnetosonic waves have been demonstrated as effective for bounce resonant scattering. Electron scattering rates due to bounce resonance interaction with magnetosonic waves are derived in a general form, where the effects of the finite Larmor radius, of violation in the first adiabatic invariant, and of latitudinal wave power distribution are considered. Such bounce resonance diffusion coefficients are important, but missing, from radiation belt modeling. Additionally, we provide a parametric study on the electron energy and equatorial pitch angle, magnetosonic wave, and background parameters to identify the factors that determine effective bounce resonant scattering.

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Bounce Resonance Scattering of Radiation Belt Electrons by Low‐Frequency Hiss: Comparison With Cyclotron and Landau Resonances

Cited by 32 publications

References 35 publications

Combined Scattering of Radiation Belt Electrons by Low‐Frequency Hiss: Cyclotron, Landau, and Bounce Resonances

Combined Scattering of Radiation Belt Electrons by Low‐Frequency Hiss: Cyclotron, Landau, and Bounce Resonances

Effect of Low‐Harmonic Magnetosonic Waves on the Radiation Belt Electrons Inside the Plasmasphere

On the Diffusion Rates of Electron Bounce Resonant Scattering by Magnetosonic Waves

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