Static local field correction description of acoustic waves in strongly coupling dusty plasmas

The kinetic equations for an interacting dust system with external time-dependent forces is considered from the Born–Bogolyubov–Green–Kirkwood–Yvon equations. A kinetic equation is obtained by writing the two-particle distribution function as a product of two one-particle distribution functions and the equilibrium radial distribution function. It is shown that a Vlasov-like equation is recovered with a collision term which is a functional of the pair correlation function. Wave behavior from the corresponding fluid equations is considered for a dusty plasma. The results are in qualitative agreement with previously obtained dispersion relations based on generalized hydrodynamics and the quasilocalized charge approximation.