Jeans instability in a self-gravitating dusty plasma

We present a multi-fluid theory for the Jeans instability accounting for an attractive force between two equally charged dust particles in a self-gravitating plasma. Our analyses which includes the electrostatic energy between two charged dust grains provides a possibility of resolving the 'Jeans swindle', in addition to obtaining a Jeans instability with a faster growth rate. The relevance of our investigation to the formation of planetesimals and collapse of interstellar clouds in star forming regions is discussed.