In the magnetosphere and at various altitudes in the solar wind, protons (and heavier ions) with anisotropic velocity distributions and non-thermal deviations from the Maxwell distribution are often observed. This paper investigates the influence of suprathermal populations on the main characteristics of mirror and hose instabilities in rarefied gravitating plasma within the framework of CGL equations, modified to account for the heat conduction effect. The anisotropy of the plasma distribution, including suprathermal populations, is modeled using bi-kappa functions, and new dispersion relations for Kappa distributions are derived using a modified plasma dispersion function. An important feature of the proposed approach is that some terms contributed by higher-order moments are of the same order as the terms in the classical CGL equations. These terms lead to the emergence of modified conditions for mirror and hose instabilities. However, in the limit of vanishing zero heat flux, the hose instability condition in a heat-conducting plasma remains unchanged. Deviations associated with suprathermal tails from the standard dispersion of space Maxwellian plasma can ultimately be used to assess the presence of suprathermal populations during solar flares and in the magnetosphere.

solar wind, gravity, anisotropic temperatures and heat flows, mirror and hose instabilities, Kappa distribution

Mathematical modelling in actual problems of science and technics