Filamentation instability of current-driven dust ion-acoustic waves in a collisional dusty plasma

A theoretical investigation has been made of the dust ion-acoustic filamentation instability in an unmagnetized current-driven dusty plasma by using the Lorentz transformation formulas. The effect of collision between the charged particles with neutrals and their thermal motion on this instability is considered. Developing the filamentation instability of the current-driven dust ion-acoustic wave allows us to determine the period and the establishment time of the filamentation structure and threshold for instability development. (C) 2011 American Institute of Physics. [doi:10.1063/1.3662103]