Three-wave coupling coefficient in a drifting bi-Maxwellian plasma

Bergmann, R.

doi:10.1017/s0022377800011600

Cited by 5 publications

(2 citation statements)

References 10 publications

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“…In addition, owing to its large amplitude, it modifies the effective frequencies/wave numbers of the other, smaller-amplitude waves. This enhancement of the smaller-amplitude waves due to a strong monochromatic wave in a magnetized plasma requires a full wave-wave coupling approach [Bergmann, 1986] obtained as a perturbation of the wave upon the gyromotion. In the limit ka.--.0, (12) describes gyration around the magnetic field and oscillation due to the perpendicular long-wavelength electrostatic field.…”

Section: Monochromatic Wave Decaymentioning

confidence: 99%

Effects of ion two‐stream instability on auroral ion heating

Roth¹,

Hudson²,

Bergmann³

1989

J. Geophys. Res.

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The ion two‐stream instability develops between upflowing H+ and O+ in the auroral acceleration region, if the two species are accelerated to different velocities in a semistationary electrostatic potential. Parallel propagating modes are unstable only for small relative drifts, while oblique modes remain unstable at larger drifts and, consequently, higher altitudes. The effects of oblique modes on ion heating are investigated, and it is found that O+ heats primarily by trapping in the direction of wave propagation during the early, coherent phase of wave growth in the temporal evolution problem. After undergoing trapping along the magnetic field direction, H+ heats primarily by quasi‐linear diffusion when the spectrum broadens nonlinearly. The parallel ion distributions evolve by formation of a high‐energy (low‐energy) tail on oxygen (hydrogen) along with bulk slowing of hydrogen, which results in more energetic oxygen than hydrogen. Total heating is greatest in the direction of wave propagation, and this effect is greater for hydrogen than for oxygen.

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Section: Monochromatic Wave Decaymentioning

confidence: 99%

Effects of ion two‐stream instability on auroral ion heating

Roth¹,

Hudson²,

Bergmann³

1989

J. Geophys. Res.

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“…In contrast, both hydrogen and oxygen cyclotron waves have been reported in rocket data Kelley et al, 1975;Bering, 1984;Kintner et al, 1989 been made [Kindel and Kennel, 1971; Ashour-Abdalla and Thorne, 1978;Kintner, 1982, 1984;Miura et al, 1983;Bergmann, 1984;Andre(, 1985 1984]. In addition, there are nonlinear methods for exciting EIC waves such as three-wave decay [Bergmann, 1986] and radiation by ion holes [Tetreault, 1991]. Laboratory plasma studies have also addressed these phenomena [Bb'hmer et al, 1976;Hauck et al, 1978; and references therein].…”

Section: Introductionmentioning

confidence: 99%

ISEE 1 observations of electrostatic ion cyclotron waves in association with ion beams on auroral field lines from ∼2.5 to 4.5 R_E

Cattell¹,

Mozer²,

Roth³

et al. 1991

J. Geophys. Res.

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Quasi‐monochromatic waves at ∼1.2 ƒcH, where ƒcH is the hydrogen cyclotron frequency, were observed as the ISEE 1 satellite traversed auroral field lines at radial distances of ∼2.5–4.5 RE near midnight on June 19, 1981. The waves were polarized perpendicular to the magnetic field (k∥sol; k⊥ ≲0.2). In addition, there were waves at slightly above both the helium and the oxygen cyclotron frequencies. The waves occurred within a region of reduced density (∼0.1–0.2/cm³) with the electron temperature greater than the ion temperature, upflowing hydrogen and oxygen beams, and weak field‐aligned currents bounded by electrostatic shocks. The wave characteristics and associations were similar to those observed at lower altitudes by the S3‐3 satellite. Comparisons were made between the observed H+ and O+ beams, field‐aligned currents, densities and temperatures, and linear theories of electrostatic ion cyclotron waves and H+‐O+ two‐stream instabilities. The features of the observed waves are most consistent with the current‐driven mode. In addition, numerical studies of the linear dispersion relation, using parameters based on the observations, showed that both the parallel and oblique two‐stream modes and the ion‐beam driven modes were stable while oblique current driven modes were unstable. The O+ and H+ distributions provide evidence for interactions with local electrostatic ion cyclotron waves and for the H+‐O+ two‐stream instability at altitudes below the satellite.

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Nonlinear interaction of electrostatic waves in a magnetized Vlasov plasma

Larsson

1988

J. Plasma Phys.

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A new expression for the second-order dielectric function є(2) (K1,ω1, K2,ω2) is derived from the Vlasov–Poisson equations. The formula is also suitable for the calculation of this quantity in general situations when it is essential to use kinetic theory and when the wave vectors K1 and K2 have arbitrary directions with respect to each other as well as to the external magnetic field. We also consider two earlier formulae for this response function and discuss advantages and disadvantages of the different expressions.

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Three-wave coupling coefficient in a drifting bi-Maxwellian plasma

Cited by 5 publications

References 10 publications

Effects of ion two‐stream instability on auroral ion heating

Effects of ion two‐stream instability on auroral ion heating

ISEE 1 observations of electrostatic ion cyclotron waves in association with ion beams on auroral field lines from ∼2.5 to 4.5 R_E

Nonlinear interaction of electrostatic waves in a magnetized Vlasov plasma

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Three-wave coupling coefficient in a drifting bi-Maxwellian plasma

Cited by 5 publications

References 10 publications

Effects of ion two‐stream instability on auroral ion heating

Effects of ion two‐stream instability on auroral ion heating

ISEE 1 observations of electrostatic ion cyclotron waves in association with ion beams on auroral field lines from ∼2.5 to 4.5 RE

Nonlinear interaction of electrostatic waves in a magnetized Vlasov plasma

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ISEE 1 observations of electrostatic ion cyclotron waves in association with ion beams on auroral field lines from ∼2.5 to 4.5 R_E