Drift instability grow rates in non-ideal inhomogeneous bi-dust plasmas

Dust Acoustic Wave propagation in unmagnetized inhomogeneous dusty plasmas has been extensively studied, considering non-ideal Pade type state equation. In this paper, the drift instability is analyzed in a weakly magnetized dusty plasma including inhomogeneities of the type called gradient instabilities considering two kind of dust particles. A fully kinetic approach is achieved using a dispersion relation in a polynomial form through a multipole approximation. The drift instability for the dust acoustic mode is extensively analyzed including the non-ideal effect in dusty plasmas, using the state equation introduced by Ree and Hoover. These unstable modes are well discriminated and treated as a function of the density gradient and dust grain radius. Temperature gradients and charging processes will be ignored.