Analytical study of whistler mode instability with parallel AC field by Lorentzian Kappa

Abstract

In the present paper whistler mode instabilities have been analysed for an anisotropic plasma having a generalized Lorentzian (Kappa) distribution function with a spectral index κ,

reducible to Maxwellian distribution in the limit κ→<span style="font-size:12.0pt;line-height: 115%;font-family:"Times New Roman","serif";mso-fareast-font-family:"Times New Roman"; mso-ansi-language:EN-IN;mso-fareast-language:EN-IN;mso-bidi-language:HI" lang="EN-IN">∞, in the presence of parallel AC field by method of characteristics solution. Using details of particle trajectories, dispersion relation and growth rate have been evaluated for plasma parameters suited to Earth's magnetosphere. Results have been discussed and compared with that obtained by earlier workers using Maxwellian distribution. It is observed that the Maxwellian and Kappa distributions differ substantially in the high energy tail, but the differences become less significant as κ increases.</span>