Effect of Kappa Distribution Function with Temperature Anisotropy on Firehose Instability in Earth’s Magneto-Plasma

Abstract

AbstractThe firehose instability (FHI) has been studied by kinetic approach with Kappa distribution function in auroral acceleration region of the magnetosphere. The combined effect of temperature anisotropy for ions, electrons, and dust particles, which are responsible to drive firehose instability, is modeled through non-maxwellian Kappa distribution function. The kinetic Vlasove-Maxwell equations are used to describe the dispersion nature of the firehose mode. In the high beta homogenous plasma by applying Kappa distribution function, dispersion relation, growth rate and growth length have been investigated. The effect of spectral index kappa have been studied on FHI. The range of beta parameter and anisotropy is analyzed at different fixed value of kappa index. It is considered that the instability is propagating along the background guiding magnetic field. The interpretation of the analytical results, have been done on the plasma parameters of auroral acceleration region, which is a part of the earth's magnetosphere. The result and analysis may be extended to multi component plasma and in low beta plasma also.