Exact solutions of macroscopic self-consistent electromagnetic fields and microscopic distribution of Vlasov-Maxwell system

H. Lin

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arXiv · 1402.7072

Exact solutions of macroscopic self-consistent electromagnetic fields and microscopic distribution of Vlasov-Maxwell system

H. Lin

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Abstract

Strict mathematics reveals that the strict solution of a Vlasov-Maxwell equation set cannot be of a zero-temperature mathematical form. This universal property of Vlasov-Maxwell system can lead to a closed equation set of three macroscopic quantities: selfconsistent fields E, B and fluid velocity u, and hence their exact solutions.Strict solution of microscoipc distribution governed by self-consistent electromagnetic fields is found to be a universal extension of well-known BGK mode, which corresponds to electrostatic case.

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H. Lin. 2014-02-27. Exact solutions of macroscopic self-consistent electromagnetic fields and microscopic distribution of Vlasov-Maxwell system. https://arxiv.org/abs/1402.7072

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