Moment invariants for the Vlasov equation
- 1 July 1990
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 31 (7) , 1610-1615
- https://doi.org/10.1063/1.528703
Abstract
Moment invariants [functions of the moments of a Vlasov distribution that are invariant under Sp(6)] are classified using Young diagrams. The connection between the moment invariants and the Poincaré invariants is established. An application using the moment invariants as phase space coordinates is considered for a matching section in a particle-beam accelerator, and a Lie–Poisson numerical integration algorithm for the moment dynamics is proposed.Keywords
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