Exact conservation laws for gauge-free electromagnetic gyrokinetic equations
Exact conservation laws for gauge-free electromagnetic gyrokinetic equations
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DOI：
10.1017/s0022377821000519
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发表时间：
2021-05
影响因子：
2.5
通讯作者：
A. Brizard
中科院分区：
文献类型：
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作者：
A. Brizard
本文用Noether方法导出了无规范电磁回旋运动Vlasov-Maxwell方程的哈密顿和辛表示的精确能量和角动量守恒律。这些gyrokinetic方程，这是唯一表示的电磁场，描述的低频湍流波动扰动的时间无关的超环面轴对称磁化等离子体。这里提出的明确的证据提供了一个完整的图片之间的能量和角动量的转移的gyrocentres和扰动的电磁场，其中gyrocentres极化和磁化效应所发挥的关键作用被突出。除了产生一个精确的角动量守恒定律，陀螺动力学Noether方程产生一个精确的动量输运方程，这可能是有用的，在更一般的平衡磁几何。
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.