One-dimensional diatomic Vlasov-Poisson system with oscillatory molecular bonds

In this paper, we derive a Vlasov type kinetic model for diatomic plasma in which each ion consists of two atoms bonded through an oscillatory intermolecular force given by a singular Hooke potential. We then consider the existence and uniqueness of the classical solution to the proposed model. A careful analysis of the oscillatory behavior of atoms near singular points of the Hooke potential is carried out to extend the local-in-time solution to the global solution.