Kinetic approach to low-frequency waves in dusty self-gravitating plasmas - art. no. 066406

A kinetic model is derived for the propagation of low-frequency waves in a dusty plasma containing very heavy dust particles, when the self-gravitatio nal interaction due to these grains is included in the analysis. Analytical expressions for the dispersion function are used to examine the instabilit y and damping of the modes. The stability regions of low-frequency waves ar e compared in the kinetic and the analogous hydrodynamic models, showing th at there are only slight differences. However. the kinetic analysis modifie s the growth rates of the Jeans instability and can considerably alter the conditions for the propagation of stable dust modes.