A Kinetic Shell Description of the Ion Cyclotron Anisotropy Instability

Isenberg, Philip A.

doi:10.1063/1.1618642

Cited by 2 publications

(3 citation statements)

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“…[70] We now calculate the wave excitation assuming that the core protons just downstream have a broad distribution as described by equation (40). The redistribution of bimaxwellian distributed protons has been investigated by Isenberg [2003]. We modify his analysis and apply it to the core proton redistribution.…”

Section: Broad Distributionmentioning

confidence: 99%

“…The redistribution of bimaxwellian distributed protons has been investigated by Isenberg [2003]. We modify his analysis and apply it to the core proton redistribution.…”

Section: Broad Distributionmentioning

confidence: 99%

“…We modify his analysis and apply it to the core proton redistribution. The downstream core protons are redistributed onto a family of shells, the shapes of which are given by the integration of equation (29) [Isenberg and Lee, 1996;Isenberg, 2003] …”

Section: Broad Distributionmentioning

confidence: 99%

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A quasilinear theory of ion “thermalization” and wave excitation downstream of Earth's bow shock

2005

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[1] A quasilinear theory is presented for the relaxation of the proton and helium distribution functions and the associated excitation of ion cyclotron waves, downstream of the quasi-perpendicular Earth's bow shock. The theory predicts the wave polarization, power and peak frequency, and the proton bulk velocity and temperature anisotropy, sufficiently far downstream of the shock that the ions and waves have relaxed to a quasiequilibrium. The results are compared with the AMPTE/IRM crossings of the marginally supercritical bow shock documented by Sckopke et al. (1990), for which the number of ''reflected'' protons is small and the quasilinear approximation is expected to be valid. The theory starts with the trajectories of the specularly reflected protons and transmitted helium in the laminar electromagnetic fields of the shock transition. In a simplified treatment of the downstream relaxation process, neglecting wave dispersion and assuming that the downstream reflected proton speed v 0 is large compared with the Alfven speed V A , the wave and proton quasi-equilibrium predictions are qualitatively in agreement with the observations. In a more precise treatment limited to a perpendicular configuration, in which dispersion is included and v 0 may be comparable with V A , the agreement with the observations is generally very good if the contribution of the transmitted core protons is included. One interesting feature is that the minor ion helium may contribute to the wave power, and in return change the proton and helium distribution functions. The helium contribution is estimated but requires further investigation.

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Section: Broad Distributionmentioning

confidence: 99%

“…The redistribution of bimaxwellian distributed protons has been investigated by Isenberg [2003]. We modify his analysis and apply it to the core proton redistribution.…”

Section: Broad Distributionmentioning

confidence: 99%