On the dynamical reduction of the Vlasov equation

Details On the dynamical reduction of the Vlasov equation On the dynamical reduction of the Vlasov equation

2006-09-07

arxiv.org/abs/physics/0609051v2

Physics

Plasma Physics

8 pages, invited tutorial presented at Vlasovia 2006

Scientific paper

The elimination of a fast time scale from the Vlasov equation by Lie-transform methods is an important step in deriving a reduced Vlasov equation such as the drift-kinetic Vlasov equation or the gyrokinetic Vlasov equation. It is shown here that this dynamical reduction also leads to the introduction of polarization and magnetization effects in the reduced Maxwell equations, which ensure that the reduced Vlasov-Maxwell equations possess an exact energy-momentum conservation law.

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