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The dispersion relation of an ion-acoustic wave in a dusty plasma with grain-charge uctuations is derived by taking into account the grain-charging collisions in a self-consistent way by adopting a Bhatnagar-Gross-Krook type collision integral. The criterion of instability and the rate of growth or damping of ion-acoustic wave are obtained.


The dispersion relation of an ion-acoustic wave in a dusty plasma with grain-charge uctuations is derived by taking into account the grain-charging collisions in a self-consistent way by adopting a Bhatnagar-Gross-Krook type collision integral. The criterion of instability and the rate of growth or damping of ion-acoustic wave are obtained.