On the dynamical reduction of the Vlasov equation
On the dynamical reduction of the Vlasov equation
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关于Vlasov方程的动力学约简
DOI：
10.1016/j.cnsns.2007.05.006
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发表时间：
2006
影响因子：
3.9
通讯作者：
A. Brizard
中科院分区：
文献类型：
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作者：
A. Brizard
用李变换方法消除Vlasov方程中的快时标是导出简化Vlasov方程（如漂移运动Vlasov方程或陀螺运动Vlasov方程）的重要步骤。它表明，在这里，这种动力学的减少也导致了在减少麦克斯韦方程，这确保减少Vlasov-麦克斯韦方程具有一个精确的能量动量守恒定律的极化和磁化效应的介绍。
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.