Nonlinear gyrokinetic theory for finite‐beta plasmas
Nonlinear gyrokinetic theory for finite‐beta plasmas
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DOI：
10.1063/1.866641
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发表时间：
1988-02
影响因子：
4.6
通讯作者：
T. Hahm;W. Lee;A. Brizard
中科院分区：
文献类型：
--
作者：
T. Hahm;W. Lee;A. Brizard
导出了一组自洽且能量守恒的非线性回旋运动方程，由有限 β 等离子体的平均 Vlasov 和 Maxwell 方程组成。本研究中使用的方法基于哈密顿形式主义和李变换。所得公式对于 k⊥ρi 的任意值都有效，因此最适合研究托卡马克等离子体中微不稳定性的线性和非线性演化，以及有限拉莫尔半径效应很重要的等离子体物理的其他领域。由于现有形式主义中保留了潜在的哈密顿结构，因此这些方程可直接适用于基于现有回旋粒子模拟技术的数值研究。
A self‐consistent and energy‐conserving set of nonlinear gyrokinetic equations, consisting of the averaged Vlasov and Maxwell’s equations for finite‐beta plasmas, is derived. The method utilized in the present investigation is based on the Hamiltonian formalism and Lie transformation. The resulting formulation is valid for arbitrary values of k⊥ρi and, therefore, is most suitable for studying linear and nonlinear evolution of microinstabilities in tokamak plasmas as well as other areas of plasma physics where the finite Larmor radius effects are important. Because the underlying Hamiltonian structure is preserved in the present formalism, these equations are directly applicable to numerical studies based on the existing gyrokinetic particle simulation techniques.