A self-consistent model of linear waves propagating in a two component dust
y plasma whose constituents are positively charged dust grains and electron
s is presented. Ionization and recombination processes on the dust particle
surface, elastic Coulomb collisions of electrons with dust, electron-neutr
al collisions, dust-electron and dust-neutral collisions, as well as dust c
harge variations are taken into account. The relationships between the char
acteristic 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 tha
t low frequency waves are always stable in such a system, and there exist t
wo dust-acoustic modes: (1) the usual dust acoustic mode, similar to the io
n acoustic wave in electron-ion plasmas; and (2) an acoustic mode with redu
ced phase velocity, associated with dust particle charge variations. The st
atic response of electron-dust plasmas is examined and the screening length
of the system is determined. (C) 2001 American Institute of Physics.