2013
DOI: 10.1063/1.4836595
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Nonlinear electron acceleration by oblique whistler waves: Landau resonance vs. cyclotron resonance

Abstract: International audienceThis paper is devoted to the study of the nonlinear interaction of relativistic electrons and highamplitude strongly oblique whistler waves in the Earth’s radiation belts. We consider electrontrapping into Landau and fundamental cyclotron resonances in a simplified model of dipolarmagnetic field. Trapping into the Landau resonance corresponds to a decrease of electronequatorial pitch-angles, while trapping into the first cyclotron resonance increases electronequatorial pitch-angles. For 1… Show more

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Cited by 57 publications
(89 citation statements)
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“…The definition of resonance timescale is similar to that of resonance time introduced by Helliwell (1967), which was described as the time period when the electrons are fully bunched. For realistic magnetic field the "resonance timescale" is determined by the competition of wave field and magnetic field inhomogeneity (e.g., Shklayr and Matsumoto, 2009;Artemyev et al, 2013). Within the period of a resonance timescale, the variations of pitch angle and kinetic energy ( α 2 and E 2 ) due to localized resonance are stochastic, which is consistent with the results of Tao et al (2011).…”
Section: Discussionsupporting
confidence: 77%
“…The definition of resonance timescale is similar to that of resonance time introduced by Helliwell (1967), which was described as the time period when the electrons are fully bunched. For realistic magnetic field the "resonance timescale" is determined by the competition of wave field and magnetic field inhomogeneity (e.g., Shklayr and Matsumoto, 2009;Artemyev et al, 2013). Within the period of a resonance timescale, the variations of pitch angle and kinetic energy ( α 2 and E 2 ) due to localized resonance are stochastic, which is consistent with the results of Tao et al (2011).…”
Section: Discussionsupporting
confidence: 77%
“…Two main resonances contributing to such nonlinear interaction are Landau and first cyclotron resonances. The wave frequency variation with latitude seems to be not very important for Landau resonance since phase velocity of oblique waves propagating with Gendrin angle does not depend on the wave frequency (Artemyev et al, 2013b). In contrast, for the first cyclotron resonance, observed and model wave frequency variation with latitude can be very important.…”
Section: Discussionmentioning
confidence: 96%
“…Equation (9) shows that φ variation is described by Hamiltonian (Artemyev et al 2013(Artemyev et al , 2014b):…”
Section: Analytical Estimatesmentioning
confidence: 99%
“…, where an escape position s * is defined by equation A(s * ) ≈ ε (see the equations in Artemyev et al (2013) for more accurate estimate of the escape positions). Collisions can decrease the final energy of trapped particles.…”
Section: Analytical Estimatesmentioning
confidence: 99%
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