Linear characteristics of dust acoustic waves in two dimensional inhomogeneous complex plasmas

Abstract

This paper explores dust acoustic waves (DAWs)’ instability in two dimensional nonuniform complex plasmas. For this purpose, the dispersion relation is obtained using the method of separation of variables. In the process of linearizing the hydrodynamic equations describing the characteristics of two dimensional nonuniform complex plasma equations, the temporal and spatial dependence of all perturbations is assumed to be proportional to A1(x, y)exp[−iωt]. It is shown that the inhomogeneities in indifferent directions have different influences on the linear dispersion characteristics of DAWs. The numerical results show that the present research results are very important in the phenomenon of space astrophysical and experimental plasmas.