title: Modified jeans instability for dust grains in a plasma.
abstract: An investigation of the properties of linear stability is conducted for a system consisting of particles having mass m and charge q, interacting through the gravitational and electrostatic force (Jeans instability). However, in light of recent works showing that dust particles in a plasma can have a Lennard-Jones-like shielding potential, a new set of equations has been derived, where the electrostatic interaction among the dust particles is Lennard-Jones-like instead of Coulomb-like. A new condition for the gravitational instability is derived, showing a broader spectrum of unstable modes with faster growth rates.
authors.affiliation: Burning Plasma Research Group, Dipartimento di Energetica, Politecnico di Torino, Italy.
authors.forename: G L
authors.initials: GL
authors.lastname: Delzanno
authors.forename: G
authors.initials: G
authors.lastname: Lapenta