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Moment Methods for Solving the Boltzmann Equation

  • Larry A. ViehlandEmail author
Chapter
Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 105)

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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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Science DepartmentChatham UniversityPittsburghUSA

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