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arXiv · 1805.04009

Confined steady states of a Vlasov-Poisson plasma in an infinitely long cylinder

Patrik Knopf
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Abstract

We consider the two-dimensional Vlasov-Poisson system to model a two-component plasma whose distribution function is constant with respect to the third space dimension. First, we show how this two-dimensional Vlasov-Poisson system can be derived from the full three-dimensional system. The existence of compactly supported steady states with vanishing electric potential in a three-dimensional setting has already been investigated by A. L. Skubachevskii [15]. We show that his approach can easily be adapted to the two-dimensional system. However, our main result is to prove the existence of compactly supported steady states even with a nontrivial self-consistent electric potential.

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Patrik Knopf. 2018-05-10. Confined steady states of a Vlasov-Poisson plasma in an infinitely long cylinder. https://doi.org/10.1002/mma.5728

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