Corrigendum: Phase-space Lagrangian derivation of electrostatic gyrokinetics in general geometry (2011 Plasma Phys. Control. Fusion 53 045001)
Corrigendum: Phase-space Lagrangian derivation of electrostatic gyrokinetics in general geometry (2011 Plasma Phys. Control. Fusion 53 045001)
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勘误表：一般几何中静电回旋动力学的相空间拉格朗日推导（2011 Plasma Phys. Control. Fusion 53 045001）
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
I. Calvo
中科院分区：
文献类型：
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作者：
F. Parra;I. Calvo
陀螺动力学理论是建立在小参数的渐近展开基础上的，小参数定义为回转半径与磁场的特征变化长度之比。在本文中，严格地实现了将一般磁几何中的静电陀螺动力学相空间拉格朗日量计算到2阶。特别地，给出了完整的二阶陀螺动力学哈密顿量的新表达式，表明在陀螺动力学理论的严格处理中，磁几何和湍流是不能独立处理的。新的相空间回转动力学拉格朗日给出了精确到二阶的Vlasov方程和精确到阶的泊松方程。最终的表达式是显式的，可以在任何仿真中实现，而无需进一步的计算。
Gyrokinetic theory is based on an asymptotic expansion in the small parameter , defined as the ratio of the gyroradius and the characteristic length of variation of the magnetic field. In this paper, this ordering is strictly implemented to compute the electrostatic gyrokinetic phase-space Lagrangian in general magnetic geometry to order 2. In particular, a new expression for the complete second-order gyrokinetic Hamiltonian is provided, showing that in a rigorous treatment of gyrokinetic theory magnetic geometry and turbulence cannot be dealt with independently. The new phase-space gyrokinetic Lagrangian gives a Vlasov equation accurate to order 2 and a Poisson equation accurate to order . The final expressions are explicit and can be implemented into any simulation without further computations.