Second order guiding-center Vlasov–Maxwell equations

Second order guiding-center Vlasov–Maxwell equations
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二阶引导中心 Vlasov–Maxwell 方程

DOI:
10.1063/1.3465660
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发表时间:
2010
期刊:
影响因子:
2.2
通讯作者:
J. Madsen
J. Madsen
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
J. Madsen

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本文用李变换方法导出了具有强E× B流的二阶陀螺规不变导引中心坐标。得到了相应的Poisson括号结构和运动方程。从变分原理导出了包含二阶项的显式Vlasov-Maxwell方程。二阶贡献包含对电磁场的最低阶有限拉莫尔半径修正。因此,该模型能够描述强E× B流和有限拉莫尔半径效应相互重要的情况。
Second order gyrogauge invariant guiding-center coordinates with strong E×B-flow are derived using the Lie transformation method. The corresponding Poisson bracket structure and equations of motion are obtained. From a variational principle the explicit Vlasov–Maxwell equations are derived including second order terms. The second order contributions contain the lowest order finite-Larmor-radius corrections to the electromagnetic field. Therefore, the model is capable of describing situations where strong E×B-flows and finite-Larmor-radius effects are mutually important.