Drift-Alfvén waves at the arbitrary ion Larmor radius scale in dusty plasmas
Abstract
A set of magneto-hydrodynamic (MHD) equations that govern the non-linear dynamics of drift-Alfven waves with arbitrary spatial scales in comparison with the ion Larmor radius is derived. It is shown that in the linear limit a Fourier transform of these equations yields the dispersion relation which in the so-called Pade approximation corresponds to the fully kinetic theory.