Ion thermalization and wave excitation downstream of Earth's bow shock: Theory and observation
type: CreativeWork
description: It has been well documented that the plasma immediately downstream of Earth's quasi-perpendicular bow shock, which consists of reflected protons and directly transmitted ions with large temperature anisotropies, is unstable to the excitation of ion-cyclotron waves. These waves in turn scatter the protons and ions to marginal stability. 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 low-Mach-number quasi-perpendicular Earth's bow shock. For a plasma with low density of He 2+ ions, 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 quasi-equilibrium, and the time scale for the relaxation. The results except for the time scale 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 and He2+ ions are negligible. The agreement with the observations except for the total wave power is generally very good if the contribution of the transmitted core protons is included. Some of He2+ ions in the downstream plasma diffuse in v1 (velocity in the direction perpendicular to the ambient magnetic field) due to stochastic scattering. The second part of the theory predicts the time evolution of temperature anisotropy for the relaxation of the He2+ ions downstream of the shock and estimates the waves spectrum excited by the protons and He2+ ions. We also present Cluster data following the inbound shock crossing at 17:17:48 on 31 March 2001, which is an event with higher concentration of He2+ ions. The observed results show that some of the alpha particles are heated perpendicular to the magnetic field as predicted. The predicted evol…
abstract: It has been well documented that the plasma immediately downstream of Earth's quasi-perpendicular bow shock, which consists of reflected protons and directly transmitted ions with large temperature anisotropies, is unstable to the excitation of ion-cyclotron waves. These waves in turn scatter the protons and ions to marginal stability. 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 low-Mach-number quasi-perpendicular Earth's bow shock. For a plasma with low density of He 2+ ions, 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 quasi-equilibrium, and the time scale for the relaxation. The results except for the time scale 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 and He2+ ions are negligible. The agreement with the observations except for the total wave power is generally very good if the contribution of the transmitted core protons is included. Some of He2+ ions in the downstream plasma diffuse in v1 (velocity in the direction perpendicular to the ambient magnetic field) due to stochastic scattering. The second part of the theory predicts the time evolution of temperature anisotropy for the relaxation of the He2+ ions downstream of the shock and estimates the waves spectrum excited by the protons and He2+ ions. We also present Cluster data following the inbound shock crossing at 17:17:48 on 31 March 2001, which is an event with higher concentration of He2+ ions. The observed results show that some of the alpha particles are heated perpendicular to the magnetic field as predicted. The predicted evol…
author: Liu, Yong
keywords: Physics, Fluid and Plasma, Astronomy and Astrophysics
date published: 2006-01-01T08:00:00Z
date modified: 2026-07-24T05:22:19Z
provider: University of New Hampshire
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: University of New Hampshire