Abstract
Self-gravitational instabilities in dusty plasmas have been investigated over different regimes of dust fugacity. The Jeans instability associated with dust-acoustic waves is shown to exist in the low fugacity regime. On the other hand, in dense dusty plasmas characterized by high fugacity, the instability is found to occur at much smaller scale sizes, and is associated with dust-Coulomb waves. The general case of arbitrary fugacity corresponding to dust charge-density waves and the associated Jeans instability has also been discussed. A comparison between the critical Jeans lengths for the different cases has been carried out.
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