Dust-ion-acoustic shock waves in the presence of dust charge fluctuation in non-Maxwellian plasmas with Kappa-distributed electrons

Abstract

A three-component plasma composed of nonthermal Kappa-distributed electrons, mobile ions, stationary and dust-fluctuating (spherical) dust particles is considered. By employing reductive perturbation method in a weakly nonlinear limit, the Burger’s equation has been derived and the basic properties of dust ion acoustic shock waves are analyzed. It is observed that for increasing ion–electron temperature ratio, the shock’s amplitude decreases, and vice versa. Moreover, shock steepens for increasing electron–ion equilibrium density ratio. Furthermore, it is observed that the shock potential distribution is directly proportional to the spectral index κ, whereas the shock’s width is inversely proportional to the latter. Thus, the non-Maxwellian nature of the electronic velocity distribution significantly modifies the perturbed potential profile. In the limiting case κ→∞, the corresponding Maxwellian results are retrieved. Present work will be useful in understanding the nonlinear propagation of dust-ion-acoustic shock waves (DIASHW) in space plasmas where nonthermal population of electrons exist due to various physical phenomena, and in laboratory (e.g., in a double plasma (DP) device, or in tokamak where runaway electrons may result in a non-Maxwellian plasma).