Effect of nonextensive velocity distribution on the filamentation instability in a current-driven dusty plasma

The evolution of filamentation instability in a current-driven dusty plasma with nonextensive distribution has been investigated in the dust acoustic frequency range. Using the dielectric permittivity functions of the nonextensive dusty plasma and the Lorentz transformation formulas, the generalized dispersion relation and growth rate of the filamentation instability are achieved. The results show that the possibility and development of the filamentation instability depend on the nonextensive parameters and drift velocity. It is found that by increasing the nonextensive parameter of electrons, the growth rate of instability declines slowly. Nevertheless, the development of filamentation instability is salient with the increase of nonextensive parameter and drift velocity of plasma ions. Moreover, the wavelength region in which the instability occurs is more stretched in the presence of higher values of ions nonextensive parameter and drift velocity. As compared to the electrons, the ions play a dominant role in the evolution of the filamentation instability.