Probability of relativistic electron trapping by parallel and oblique whistler-mode waves in Earth's radiation belts

Artemyev, А. V.; Vasiliev, A. A.; Mourenas, D.; Neishtadt, A. I.; Agapitov, Oleksiy; Krasnoselskikh, V.

doi:10.1063/1.4935842

Cited by 34 publications

(60 citation statements)

References 59 publications

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“…Based on previous works [e.g., Artemyev et al, 2015], we get E cr mV=m ð Þ ∼75 sinα res ffiffiffiffiffiffiffiffiffiffiffiffi ffi γ 2 À 1 p =NL with α res the electron local pitch angle at cyclotron resonance and γ the Lorentz factor (see supporting information). Based on previous works [e.g., Artemyev et al, 2015], we get E cr mV=m ð Þ ∼75 sinα res ffiffiffiffiffiffiffiffiffiffiffiffi ffi γ 2 À 1 p =NL with α res the electron local pitch angle at cyclotron resonance and γ the Lorentz factor (see supporting information).…”

Section: Parameter Range Of Applicability Of the Quasi-linear Diffusimentioning

confidence: 68%

VLF waves from ground‐based transmitters observed by the Van Allen Probes: Statistical model and effects on plasmaspheric electrons

Mourenas

et al. 2017

Geophysical Research Letters

179

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Whistler mode very low frequency (VLF) waves from powerful ground‐based transmitters can resonantly scatter energetic plasmaspheric electrons and precipitate them into the atmosphere. A comprehensive 4 year statistics of Van Allen Probes measurements is carried out to assess their consequences on the dynamics of the inner radiation belt and slot region. Statistical models of the measured wave electric field power and of the inferred full wave magnetic amplitude are provided as a function of L, magnetic local time, season, and Kp over L = 1–3, revealing the localization of VLF wave intensity and its variation with geomagnetic activity over 2012–2016. Since this VLF wave model can be directly used together with existing hiss and lightning‐generated wave models in radiation belt simulation codes, we perform numerical calculations of the corresponding quasi‐linear pitch angle diffusion rates, allowing us to demonstrate the crucial role played by VLF waves from transmitters in energetic electron loss at L < 2.5.

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Section: Parameter Range Of Applicability Of the Quasi-linear Diffusimentioning

confidence: 68%

VLF waves from ground‐based transmitters observed by the Van Allen Probes: Statistical model and effects on plasmaspheric electrons

Mourenas

et al. 2017

Geophysical Research Letters

179

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“…particle trapping and particle drift will transport particles in a 2D space. The corresponding expressions for trapping probabilities and drift velocity in a system with cyclotron resonances have already been derived in [22,51,89].…”

Section: Discussionmentioning

confidence: 99%

“…Namely, we apply to this system the methods proposed in [35] to derive an analytical expression for the drift velocity V h due to particle nonlinear scattering and the methods from [51] to evaluate the probability of trapping Π; the proof of the relationship between V h and Π provided in [45] is similarly used to construct a generalized Fokker-Planck equation for the particle distribution function. The combination of these three main results allows us to describe for the first time (to the best of our knowledge) a realistic plasma system with nonlinear wave-particle interaction by means of a kinetic equation.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic approach to nonlinear wave-particle resonant interaction

et al. 2017

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Citation: ARTEMYEV, A.V. ...et al., 2017. Probabilistic approach to nonlinear wave-particle resonant interaction. Physical Review E, 95:023204.Additional Information:• This paper was accepted for publication in the journal Physi- Probabilistic approach to nonlinear wave-particle resonant interaction In this paper we provide a theoretical model describing the evolution of the charged particle distribution function in a system with nonlinear wave particle interactions. Considering a system with strong electrostatic waves propagating in an inhomogeneous magnetic field, we demonstrate that individual particle motion can be characterized by the probability of trapping into the resonance with the wave and by the efficiency of scattering at resonance. These characteristics, being derived for a particular plasma system, can be used to construct a kinetic equation (or generalized FokkerPlanck equation) modelling the long-term evolution of the particle distribution. In this equation, effects of charged particle trapping and transport in phase space are simulated with a nonlocal operator. We demonstrate that solutions of the derived kinetic equations agree with results of test particle tracing. The applicability of the proposed approach for the description of space and laboratory plasma systems is also discussed.

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“…We then separately apply subpacket analysis to E ∥ to calculate the Landau resonance acceleration efficiency for nonlinear trapping in the parallel electric field of the chorus wave, using the expression

Δ E_{Landau} (eV) = \sum ([], 0.5 J_{0} (β) (||, bold E_{∥}) V_{p} V_{g} δt {((), \frac{V_{g} - V_{p}}{1 - (V_{g} V_{p}) / c^{2}})}^{- 1}) .

Similar to the perpendicular wave calculations, the total and maximum single‐subpacket energy gain for electrons in Landau resonance with the parallel component of the wave electric field are shown in Figure b. The energy range <200 keV for efficient acceleration by Landau resonance is consistent with previous studies [ Agapitov et al , ; Artemyev et al , ].…”

Section: Nonlinear Electron Acceleration In Vlf Riser Subpacketsmentioning

confidence: 99%

Van Allen Probes observations of prompt MeV radiation belt electron acceleration in nonlinear interactions with VLF chorus

et al. 2017

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Prompt recovery of MeV (millions of electron Volts) electron populations in the poststorm core of the outer terrestrial radiation belt involves local acceleration of a seed population of energetic electrons in interactions with VLF chorus waves. Electron interactions during the generation of VLF rising tones are strongly nonlinear, such that a fraction of the relativistic electrons at resonant energies are trapped by waves, leading to significant nonadiabatic energy exchange. Through detailed examination of VLF chorus and electron fluxes observed by Van Allen Probes, we investigate the efficiency of nonlinear processes for acceleration of electrons to MeV energies. We find through subpacket analysis of chorus waveforms that electrons with initial energy of hundreds of keV to 3 MeV can be accelerated by 50 keV–200 keV in resonant interactions with a single VLF rising tone on a time scale of 10–100 ms.

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Probability of relativistic electron trapping by parallel and oblique whistler-mode waves in Earth's radiation belts

Cited by 34 publications

References 59 publications

VLF waves from ground‐based transmitters observed by the Van Allen Probes: Statistical model and effects on plasmaspheric electrons

VLF waves from ground‐based transmitters observed by the Van Allen Probes: Statistical model and effects on plasmaspheric electrons

Probabilistic approach to nonlinear wave-particle resonant interaction

Van Allen Probes observations of prompt MeV radiation belt electron acceleration in nonlinear interactions with VLF chorus

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