Non-Linear Potential Structures in Non-Maxwellian Magneto-Rotating Plasmas

Abstract

Shock waves in plasma are very important occurrence, consisting of number of di er ent modes. We have investigated such non-linear wave modes as a ected by various non-thermal distribution of electrons, magneto-rotating and relativistic e ects. In particular, we have looked into the non-linear ion acoustic shock waves on ion time scale in the presence of collisional rotating magneto-plasma with non-Maxwellian electrons and warm relativistic ions. For this a reductive perturbation method has been employed to derive the respective Zakhrove-Kuznetsov-Burgers (ZKB) equa tion in the weak limit of non-linearity. We also present a comparison between (r, q) and κ distribution for electrons. For that rst we review the derivation of ZKB equa tion by using kappa and Cairns distribution, and then extended for a two indices (r, q) distribution for electrons. The study of above solutions reveal that due to non-Maxwellian electrons, it causes the formation of di erent potential structures. From the numerical analysis of ZKB equation, kappa distribution provides only positive amplitude (compressive) shock potential. Unlike kappa, Cairns distribution exhibits both positive and negative amplitudes (compressive and rarefactive), from further analysis it is noted there is a discontinuity arises that fail our model. It has been observed that linear phase speed depicts both fast and slow ion acoustic waves. In the context of kappa and Cairns distributions it is seen that, the formation of compressive and rarefactive nature in our system is mainly due to the non-linear coe cient A, which changes their sign for the respective structure. The formation of shock waves depend upon the magnitude of kappa and Cairns distribution index. Such plasma system is also investigated by using (r, q) distribution function, which exhibits both the compressive and rarefactive bahavior in shock potential. In the proper limits, e.g. (r = 0 and q = κ − 1) we recover the results of kappa cases, and for the case (r = 0 and q→ ∞) the nding of Maxwellian potential distribution are recovered. The investigations that are discussed can be useful for plasmas that are magnetized, rotating on the view of non-inertial frame of reference, for example such plasma is observed in di erent region of space like magnetosphere, and pulsars etc