On the dynamical reduction of the Vlasov equation
Abstract
Description
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.
8 pages, invited tutorial presented at Vlasovia 2006
8 pages, invited tutorial presented at Vlasovia 2006