Variational formulation of higher-order guiding-center Vlasov–Maxwell theory
Variational formulation of higher-order guiding-center Vlasov–Maxwell theory
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DOI：
10.1063/5.0161171
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发表时间：
2023-06
影响因子：
2.2
通讯作者：
A. Brizard
中科院分区：
文献类型：
--
作者：
A. Brizard
在时间相关的非均匀电场和磁场服从标准导引中心时空尺度序的假设下，导出了扩展的导引中心Vlasov-Maxwell方程。导出了二阶的导引中心Vlasov-Maxwell方程，其中包含了对导引中心极化和磁化的偶极和四极贡献，包括有限Larmor半径修正。精确的能量动量守恒定律来自这些高阶的引导中心Vlasov-Maxwell方程的变分公式。
Extended guiding-center Vlasov–Maxwell equations are derived under the assumption of time-dependent and inhomogeneous electric and magnetic fields that obey the standard guiding-center space-timescale orderings. The guiding-center Vlasov–Maxwell equations are derived up to second order, which contains dipole and quadrupole contributions to the guiding-center polarization and magnetization that include finite-Larmor-radius corrections. Exact energy-momentum conservation laws are derived from the variational formulation of these higher-order guiding-center Vlasov–Maxwell equations.