Trapping (capture) into resonance and scattering on resonance: Summary of results for space plasma systems

Artemyev, А. V.; Neishtadt, Anatoly; Vainchtein, Dmitri; Vasiliev, A. A.; Vasko, I. Y.; Zelenyǐ, L. M.

doi:10.1016/j.cnsns.2018.05.004

Cited by 51 publications

(77 citation statements)

References 166 publications

(230 reference statements)

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“…For

σ_{R} = - 1

, this phase bunching without trapping leads to pitch angle increase (Albert & Bortnik, ; Grach & Demekhov, , ). In some papers (Artemyev et al, , ) this regime is called nonlinear scattering. Numerical simulations show (Kubota & Omura, ; Grach & Demekhov, , ) that for not too small

R < 1

there can exist a small group of untrapped particles whose equatorial pitch angle decreases significantly.…”

Section: Simulation Modelmentioning

confidence: 99%

“…Key Points: • Nonlinear resonant interaction with EMIC waves can either increase or decrease electron pitch angle • For some energies pitch angle distribution stays isotropic, precipitating fluxes at strong diffusion limit • For higher energies precipitating fluxes correspond to weak diffusion and agree with quasi-linear theory Long time evolution of particle distribution function as a result of nonlinear resonant interaction with a monochromatic wave (various modes) was studied by Artemyev et al (2017Artemyev et al ( , 2018. A generalized Fokker-Planck equation, allowing for nonlinear regimes, was obtained; its analytical solutions have been validated by results of test particle numerical simulations.…”

Section: 1029/2019ja027358mentioning

confidence: 99%

“…Long time evolution of particle distribution function as a result of nonlinear resonant interaction with a monochromatic wave (various modes) was studied by Artemyev et al (, ). A generalized Fokker‐Planck equation, allowing for nonlinear regimes, was obtained; its analytical solutions have been validated by results of test particle numerical simulations.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Precipitation of Relativistic Electrons Under Resonant Interaction With Electromagnetic Ion Cyclotron Wave Packets

Grach

Демехов

2020

JGR Space Physics

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We use numerical simulations to study the resonant interaction of relativistic electrons with rising‐frequency electromagnetic ion cyclotron (EMIC) wave packets in the normalH+ band. We find that precipitating fluxes are formed by quasi‐linear interaction and several nonlinear interaction regimes having opposite effects. In particular, the direct influence of Lorentz force on the particle phase (force bunching) decreases precipitation for particles with low equatorial pitch angles (up to 15–25°) and can even block it completely. Four other nonlinear regimes are possible: nonlinear shift of the resonance point, which can cause pitch angle drift in both directions; phase bunching that slightly increases pitch angle for untrapped particles; directed scattering that strongly decreases pitch angle for untrapped particles; and particle trapping by the wave field that decreases pitch angle. The evolution of the equatorial pitch angle distribution during several passes of particles through the wave packet is studied. The precipitating fluxes are evaluated and compared with theoretical estimates. We show that strong diffusion limit is maintained for a certain range of energies by a wave packet with realistic amplitude and frequency drift. In this case, the quasi‐linear theory strongly underestimates the precipitating flux. With increasing energy, the precipitating fluxes decrease and become close to the quasi‐linear estimates.

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“…For

σ_{R} = - 1

R < 1

there can exist a small group of untrapped particles whose equatorial pitch angle decreases significantly.…”

Section: Simulation Modelmentioning

confidence: 99%

Section: 1029/2019ja027358mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Precipitation of Relativistic Electrons Under Resonant Interaction With Electromagnetic Ion Cyclotron Wave Packets

Grach

Демехов

2020

JGR Space Physics

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“…A general nonlinear wave‐particle interaction problem would require solving its distribution evolution by either equation or since the wavefield can be strong and so are the stochastic scatterings. However, if the wave is sufficiently weak, so that the particle potential energy in the wavefield is much smaller than its unperturbed Hamiltonian, the particle scatterings can be distinguished into transient resonances that are small in stochastic changes but possibly directional due to phase bunching and large stochastic jumps due to phase trapping (Artemyev et al, , ; Artemyev, Neishtadt, Vainchtein, et al, ; Artemyev, Neishtadt, Vasiliev, et al, ). For megaelectron volt (MeV) electrons and whistler mode waves in the inner magnetosphere, this weak wave condition corresponds to a wave magnetic amplitude much less than 10 nT (Artemyev, Neishtadt, Vasiliev, et al, ).…”

Section: Mathematical Backgroundmentioning

confidence: 99%

“…Then in the master equation , the transition rates corresponding to transient resonances can still be expanded into Kramers‐Moyal series, and we are left with the following integro‐differential kinetic equation

\begin{matrix} alignleft \\ align-1 \frac{\partial}{\partial t} F (I, t) = & align-2 - \frac{\partial}{\partial I} [{\tilde{h}}_{I} F (I, t)] + \frac{\partial}{\partial I} [{\tilde{D}}_{I I} \frac{\partial}{\partial I} F (I, t)] \\ align-1 & align-2 + \int d I^{'} [Q (I | I^{'}) F (I^{'}, t) - Q (I^{'} | I) F (I, t)], \end{matrix}

where the tilde‐accented transport coefficients are with respect to transient resonances and

scriptQ

is the transition rate for phase trapping process only. Using Hamiltonian perturbation theory, Artemyev et al (, ), Artemyev, Neishtadt, Vainchtein, et al (), and Artemyev, Neishtadt, Vasiliev, et al () obtained analytical expressions for the transport coefficients and the function

scriptQ

in equation for constant monochromatic plasma waves of various kinds. Under their particular wave assumptions,

scriptQ

reduces to a Dirac‐delta function so that equation degenerates to a differential equation and is easily solved.…”

Section: Mathematical Backgroundmentioning

confidence: 99%

Modeling Energetic Electron Nonlinear Wave‐Particle Interactions With Electromagnetic Ion Cyclotron Waves

2019

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Electromagnetic ion cyclotron (EMIC) waves in duskside plasmasphere and plasmaspheric plume scatter megaelectron volt electrons into the loss cone and are considered a major loss mechanism for the outer radiation belt. Wave‐particle interaction between energetic electrons and EMIC waves has been studied extensively by the quasi‐linear diffusion theory. However, EMIC waves are typically strong enough to trigger nonlinear wave‐particle interaction effects and transport electrons in very different ways from quasi‐linear diffusion. New mathematical method is therefore in demand to study the evolution of energetic electron distribution in response to nonlinear wave‐particle interaction. In this work, we present a Markov chain description of the wave‐particle interaction process, in which the electron distribution is represented by a state vector and is evolved by the Markov matrix. The Markov matrix is a matrix form of the electron response Green's function and could be determined from test particle simulations. Our modeling results suggest that electron loss rate is not significantly affected by phase bunching and phase trapping, but for strong EMIC waves, electron distribution is more saturated near loss cone than quasi‐linear theory prediction, and negative electron phase space density slope develops inside loss cone.

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The capture probability of Dawn into ground-track resonances with Vesta

Boumchita,

Feng

2023

Celest Mech Dyn Astron

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The Dawn spacecraft approached the asteroid Vesta and descended from a high-altitude mission orbit to a low-altitude mission orbit using low-thrust propulsion. During this descent, the spacecraft crossed the 2:3 and 1:1 ground-track resonances with Vesta, which posed a risk of capture that might strongly perturb the spacecraft’s orbit. This study analyzes the effects of these resonances on the spacecraft’s orbital elements and estimates the probability of capture into it through Monte Carlo simulations. Specifically, a comprehensive investigation is performed to assess the effects of 1:1 and 2:3 ground-track resonances on the semimajor axis, eccentricity, and inclination. The dynamical model includes the gravitational field of Vesta using a spherical harmonics approximation up to the fourth degree and order and the low-thrust acceleration that is assumed to be opposite to the spacecraft’s velocity vector direction. It is observed that the eccentricity evolution is mostly influenced by the 2:3 ground-track resonance which results in a large variation when the spacecraft crosses that ground-track resonance, while the semimajor axis and inclination are mostly influenced by the 1:1 ground-track resonance. Then, the probability of capture into 1:1 ground-track resonance is found to have a negative correlation with the spacecraft’s thrust magnitude and the probability of capture into 2:3 ground-track resonance is found to arise as the spacecraft’s mass increases. It is found that for circular orbits below a certain inclination value the spacecraft’s trajectory is subject to the “automatic entry into libration” phenomenon, due to the singularity in the Hamiltonian function. This research contributes to the design of successful transfer strategies when crossing resonance for future missions.

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Trapping (capture) into resonance and scattering on resonance: Summary of results for space plasma systems

Cited by 51 publications

References 166 publications

Precipitation of Relativistic Electrons Under Resonant Interaction With Electromagnetic Ion Cyclotron Wave Packets

Precipitation of Relativistic Electrons Under Resonant Interaction With Electromagnetic Ion Cyclotron Wave Packets

Modeling Energetic Electron Nonlinear Wave‐Particle Interactions With Electromagnetic Ion Cyclotron Waves

The capture probability of Dawn into ground-track resonances with Vesta

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