Abstract

By employing the Boltzmann distributions for electrons and ions and by retaining the full dynamics of charged dust and neutral fluids, we derive a dispersion law for coupled dust-acoustic and neutral sound waves in partially ionized self-gravitating dusty plasmas. This dispersion law exhibits new classes of Jeans instability in both collisionless and highly collisional regimes. The result should help understand the origin of molecular cloud collapse in interstellar space.

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