Multiscale Splitting method for Boltzmann-Poisson Equation: Application for Dynamic of Electrons

In this paper we present a model based on dynamics of the electrons in the plasma using a simplified Boltzmann equation coupled with a Poisson equation. The motivation arose to simulate active plasma resonance spectroscopy which is used for plasma diagnostic techniques, see [Braith2009]. We are inte...

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Bibliographic Details
Main Authors:	Geiser, Juergen, Zacher, Thomas
Format:	Journal Article
Language:	English
Published:	12-01-2012
Subjects:	Mathematics - Dynamical Systems Mathematics - Mathematical Physics Mathematics - Numerical Analysis Physics - Mathematical Physics
Online Access:	Get full text
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Summary:	In this paper we present a model based on dynamics of the electrons in the plasma using a simplified Boltzmann equation coupled with a Poisson equation. The motivation arose to simulate active plasma resonance spectroscopy which is used for plasma diagnostic techniques, see [Braith2009]. We are interested on designing splitting methods to the model problem. First we reduce to a simplified transport equation and start to analyze the abstract Cauchy problem based on semi-groups. Second we extent to the coupled transport and kinetic model and apply the splitting ideas. The results are discussed with first numerical experiments to give discuss the numerical methods.
DOI:	10.48550/arxiv.1201.2522