dorsal/arxiv
View SchemaInfluence of bounce resonance effects on the cyclotron wave instabilities in dipole magnetospheric plasmas with anisotropic temperature
| Authors | Nikolay I. Grishanov, Marco A. Raupp, Abimael F. D. Loula, Joaquim Pereira Neto |
|---|---|
| Categories | |
| ArXiv ID | physics/0410059 |
| URL | https://arxiv.org/abs/physics/0410059 |
Abstract
In this paper, we derive the dispersion equations for field-aligned cyclotron waves in an axisymmetric dipole magnetospheric plasmas with both the bi-Maxwellian and bi-Lorentzian distribution functions. To evaluate the contribution of trapped particles to the transverse current density components the Vlasov equation is solved using a standard method of switching to new variables associated with conservation integrals; new time-like variable is introduced (instead of the geomagnetic latitude angle) to describe the bounce-motion of trapped particles along the geomagnetic field; the perturbed electric field and current density components are Fourier-decomposed over the length of the geomagnetic field lines. As a result, the transverse permittivity elements are expressed by summation of bounce-resonant terms including the double integration in velocity space, the resonant denominators, and the corresponding phase coefficients. Due to geomagnetic field nonuniformity, the wave-particle resonance conditions in magnetospheric plasmas are entirely different from ones in the straight magnetic field; the all spectrum of the electric field is present in the given current density harmonic; the left- and right-hand polarized waves are coupled. To have some analogy with the linear theory of cyclotron waves in the straight magnetic field, we assume that the n-th harmonic of the electric field gives the main contribution to the n-th harmonic of the current density, and the connection of the left- and right-hand polarized waves is small. In this case, the dispersion equations for cyclotron waves have the simplest form and are suitable to analyze the instabilities of both the electron- and ion-cyclotron waves accounting for the bounce resonance effects.
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"date_created": "2026-03-02T18:00:53.684000Z",
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"abstract": "In this paper, we derive the dispersion equations for field-aligned cyclotron\nwaves in an axisymmetric dipole magnetospheric plasmas with both the\nbi-Maxwellian and bi-Lorentzian distribution functions. To evaluate the\ncontribution of trapped particles to the transverse current density components\nthe Vlasov equation is solved using a standard method of switching to new\nvariables associated with conservation integrals; new time-like variable is\nintroduced (instead of the geomagnetic latitude angle) to describe the\nbounce-motion of trapped particles along the geomagnetic field; the perturbed\nelectric field and current density components are Fourier-decomposed over the\nlength of the geomagnetic field lines. As a result, the transverse permittivity\nelements are expressed by summation of bounce-resonant terms including the\ndouble integration in velocity space, the resonant denominators, and the\ncorresponding phase coefficients. Due to geomagnetic field nonuniformity, the\nwave-particle resonance conditions in magnetospheric plasmas are entirely\ndifferent from ones in the straight magnetic field; the all spectrum of the\nelectric field is present in the given current density harmonic; the left- and\nright-hand polarized waves are coupled. To have some analogy with the linear\ntheory of cyclotron waves in the straight magnetic field, we assume that the\nn-th harmonic of the electric field gives the main contribution to the n-th\nharmonic of the current density, and the connection of the left- and right-hand\npolarized waves is small. In this case, the dispersion equations for cyclotron\nwaves have the simplest form and are suitable to analyze the instabilities of\nboth the electron- and ion-cyclotron waves accounting for the bounce resonance\neffects.",
"arxiv_id": "physics/0410059",
"authors": [
"Nikolay I. Grishanov",
"Marco A. Raupp",
"Abimael F. D. Loula",
"Joaquim Pereira Neto"
],
"categories": [
"physics.plasm-ph"
],
"title": "Influence of bounce resonance effects on the cyclotron wave instabilities in dipole magnetospheric plasmas with anisotropic temperature",
"url": "https://arxiv.org/abs/physics/0410059"
},
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"variant": "snapshot-2026-03-01",
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