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Exact conservation laws for gauge-free electromagnetic gyrokinetic equations
Journal of Plasma Physics ( IF 2.5 ) Pub Date : 2021-05-25 , DOI: 10.1017/s0022377821000519
Alain J. Brizard

The exact energy and angular momentum conservation laws are derived by the Noether method for the Hamiltonian and symplectic representations of the gauge-free electromagnetic gyrokinetic Vlasov–Maxwell equations. These gyrokinetic equations, which are solely expressed in terms of electromagnetic fields, describe the low-frequency turbulent fluctuations that perturb a time-independent toroidally-axisymmetric magnetized plasma. The explicit proofs presented here provide a complete picture of the transfer of energy and angular momentum between the gyrocentres and the perturbed electromagnetic fields, in which the crucial roles played by gyrocentre polarization and magnetization effects are highlighted. In addition to yielding an exact angular momentum conservation law, the gyrokinetic Noether equation yields an exact momentum transport equation, which might be useful in more general equilibrium magnetic geometries.

中文翻译:

无规范电磁旋动方程的精确守恒定律

精确的能量和角动量守恒定律是通过 Noether 方法导出的,用于无规范电磁旋动 Vlasov-Maxwell 方程的哈密顿和辛表示。这些仅用电磁场表示的回转动力学方程描述了扰动与时间无关的环形轴对称磁化等离子体的低频湍流波动。这里给出的明确证明提供了陀螺中心和扰动电磁场之间能量和角动量转移的完整画面,其中突出了陀螺中心极化和磁化效应所起的关键作用。除了产生精确的角动量守恒定律外,旋动 Noether 方程还产生了精确的动量输运方程,
更新日期:2021-05-25
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