Collective modes in strongly coupled dusty plasmas

Dusty plasmas offer a new setting for exploring dynamical phenomena in the strong coupling regime. In contrast to nonneutral plasmas, screening occurs in the dusty plasma and the effective interaction is approximately of a Yukawa form; this leads to acoustic-like modes rather than Langmuir-like modes. Dust acoustic waves thus have a dispersion relation that exists for vary low and very high frequencies and wavevectors. Here the interpolation ansatz method is used to construct a strong coupling theory that is valid over this range. In this method the correct hydrodynamic limit is recovered and the lowest-order sum rules are satisfied.