Magnetosonic Weaves for Anisotropic Non- Extensive Distributions

Abstract

The magnetosonic wave instability is studied by using the kinetic theory taking the non- extensive anisotropic distribution which follows the Tsallis statistics. The temperature anisotropy may also serve as a source of free energy, which can make different waves unstable depending upon whether the anisotropy ratio is either greater (A>1) or smaller (A<1) than one. In this work, the marginal stability analysis of the magnetosonic wave instability in non-extensive anisotropic plasma is obtained using the exact numerical analysis to explain the Bale diagram obtained from the solar wind data at 1 AU for Non- extensive counterstreaming distribution. The effect of non-extensivity parameter q and the temperature anisotropy on the growth rate and the real frequency is discussed by using the exact numerical analysis. Different functional which depend on the counterstreaming parameter P have been considered. The appearance of counterstreams has a strong effect on the marginal instability conditions of the firehose and the mirror modes. The marginal instability conditions of these modes very precisely depend on the functional dependence of the parameter P. An extremely interesting new physical result has been obtained in the case P=P₁. In this case, the counterstreams affect both magnetosonic modes, making the plasma unstable at low values of ||  . With increasing the parameter P₀₁ the mirror and the firehose modes becomes more unstable, and the region of the plasma stability turns out to be limited from all sides. Such a behavior is obviously very similar to that found in the solar wind plasma, where the observed data form a rhombic-shaped region in the A- ||  plane. Thus the effects of Non-extensivity parameter q on the marginal stability curve are highlighted to better model the Bale- diagram Non-extensivity counterstreaming index q as compared to the usual Maxwellian distribution.