Effect of dust non-linear charge and size-distribution on dust-acoustic double-layers in dusty plasmas.

The investigation of the existence of arbitrarily large amplitude electrostatic dust-acoustic double layers is conducted in a four-component plasma consisting of electrons, two distinct positive ion species of different temperatures, and massive negatively-charged dust particles that are assumed spheres of different radii distributed according to a power-law. The dependence of the dust grain charge on its size is considered to be nonlinear. The number densities of electrons and ions are assumed to follow a Boltzmann distribution, whereas the dynamics of charged dust grains is described by fluid equations. Comparison is conducted between plasmas containing size-distributed dust grains and those containing monosize dust grains, while examining the criteria for the existence of dust-acoustic double layers along with the dependence of their amplitudes and Mach numbers on plasma parameters. [ABSTRACT FROM AUTHOR]