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arXiv · 1909.12363

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

Sun-Ho Choi·Seok-Bae Yun
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Abstract

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.

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Sun-Ho Choi, Seok-Bae Yun. 2019-09-26. One-dimensional diatomic Vlasov-Poisson system with oscillatory molecular bonds. https://arxiv.org/abs/1909.12363

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