The electromagnetic wave growth or damping depends basically on the number density and anisotropy of energetic particles as the resonant interaction takes place between the particles and waves in the magnetosphere. The variance of both the number density and anisotropy along the magnetic field line is evaluated systematically by modeling four typically prescribed distribution functions. It is shown that in the case of 'the positive anisotropy' (namely, the perpendicular temperature T_⊥ exceeds the parallel temperature T_(‖)), the nmnber density of energetic electrons always decreases with the magnetic latitude for a regular increasing magnetic field and the maximum wave growth is therefore generally confined to the equator where the resonant energy is minimum, and the number density is the largest. However, the 'loss-cone' anisotropy of the electrons with a 'pancake' distribution or kappa distribution keeps invariant or nearly invariant, whereas the 'temperature' anisotropy with a pure bi-Maxwellian distribution or Ashour-Abdalla and Kennel's distributions decreases with the magnetic latitude. The results may provide a useful approach to evaluating the number density and anisotropy of the energetic electrons at latitudes where the observation information is not available.
The quasi-pure pitch-angle scattering of energetic electrons driven by field-alignedpropagating whistler mode waves during the 9～15 October 1990 magnetic storm at L≈3～4is studied,and numerical calculations for energetic electrons in gyroresonance with a band offrequency of whistler mode waves distributed over a standard Gaussian spectrum is performed.Itis found that the whistler mode waves can efficiently drive energetic electrons from the larger pitch-angles into the loss cone,and lead to a flat-top distribution during the main phase of geomagneticstorms.This result perhaps presents a feasible interpretation for observation of time evolution ofthe quasi-isotropic pitch-angle distribution by Combined Release and Radiation Effects Satellite(CRRES) spacecraft at L≈3～4.
<正> Observation has clearly shown that natural space plasmas generally possess a pro-nounced non-Maxwellian high-energy tail distribution that can be well modeled by a kappa distri-bution.In this study we investigate the proton cyclotron wave instability driven by the temper-ature anisotropy (T_⊥/T_∥>1) of suprathermal protons modeled with a typical kappa distributionin the magnetosheath.It is found that as in the case for a regular bi-Maxwellian,the suprather-mal proton temperature anisotropy is subject to the threshold condition of this proton cyclotroninstability and the instability threshold condition satisfies a general form T_⊥/T_∥-1=S/β_∥~α,with a very narrow range of the fitting parameters:0.40α0.45,and a relatively sensitivevariation 0.27S0.65,over 0.01≤β_∥≤10.Furthermore,the difference in threshold condi-tions between the kappa distribution and the bi-Maxwellian distribution is found to be small fora relatively strong growth but becomes relatively obvious for a weak wave growth.The resultsmay provide a deeper insight into the physics of this instability threshold for the proton cyclotronwaves.
