Limits of the M1 and M2 angular moments models for kinetic plasma physics studies.

Autor: S Guisset, J G Moreau, R Nuter, S Brull, E d’ Humières, B Dubroca, V T Tikhonchuk
Předmět:
Zdroj: Journal of Physics A: Mathematical & Theoretical; 8/21/2015, Vol. 48 Issue 33, p1-1, 1p
Abstrakt: Angular moments closures are widely used in numerical solutions of kinetic equations. While in the strongly collisional limit they provide a good approximation of the full kinetic equation, their validity domain in the weakly collisional limit is unknown. This work is devoted to defining the validity domain of the M1 model and its extensions, the two populations M1 and the M2 angular moments models for the collisionless kinetic physics applications. Three typical kinetic plasma effects are considered, which are the charged particle beams interaction, the Landau damping and the electromagnetic wave absorption in an overdense semi-infinite plasma. For each case, a perturbative analysis is performed and the dispersion relation is established using the moments models. These relations are compared with those computed by considering the Vlasov equation. The validity limits of each model are demonstrated. [ABSTRACT FROM AUTHOR]
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