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Moment Methods for Solving the Boltzmann Equation

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Gaseous Ion Mobility, Diffusion, and Reaction

Part of the book series: Springer Series on Atomic, Optical, and Plasma Physics ((SSAOPP,volume 105))

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Abstract

In swarm studies, one generally is less interested in \(f(\mathbf {r},\mathbf {v},t)\) than in its moments, i.e., integrals of particular functions of \(\mathbf {v}\) multiplied by the ion vdf, \(f(\mathbf {v})\) . In this case, one is better off converting the Boltzmann equation to an equation governing the moments themselves and then solving the resulting moment equations. We shall do this in the rest of this chapter, after first reviewing moment methods that have been suggested previously.

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Correspondence to Larry A. Viehland .

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Viehland, L.A. (2018). Moment Methods for Solving the Boltzmann Equation. In: Gaseous Ion Mobility, Diffusion, and Reaction. Springer Series on Atomic, Optical, and Plasma Physics, vol 105. Springer, Cham. https://doi.org/10.1007/978-3-030-04494-7_5

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