Abstract
A self-consistent model of linear waves propagating in a two component dusty plasma whose constituents are positively charged dust grains and electrons is presented. Ionization and recombination processes on the dust particle surface, elastic Coulomb collisions of electrons with dust, electron-neutral collisions, dust-electron and dust-neutral collisions, as well as dust charge variations are taken into account. The relationships between the characteristic frequencies of these processes are studied. A linear dispersion relation is obtained and some limiting cases are analyzed. It is shown that Langmuir waves are damped due to electron collisions. It is also found that low frequency waves are always stable in such a system, and there exist two dust-acoustic modes: (1) the usual dust acoustic mode, similar to the ion acoustic wave in electron-ion plasmas; and (2) an acoustic mode with reduced phase velocity, associated with dust particle charge variations. The static response of electron-dust plasmas is examined and the screening length of the system is determined.
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