能量守恒的β-电磁漂移流体方程
Energy-conserving Finite-beta Electromagnetic Drift-fluid Equations
摘要：
从变分原理出发，导出了描述非均匀各向异性磁化等离子体中自洽的有限β低频电磁（drift-Alfven）湍流涨落的非线性能量守恒漂移流体方程.的变分原理是基于漂移流体拉格朗日，其中包含线性和非线性E × B速度直接从相应的单粒子有限β陀螺中心哈密顿量（在零拉莫尔半径限制）。协变电磁效应引入了标准离子极化密度的磁概括，并引入了新的离子磁化电流，这两者都是现有的陀螺流体和漂移流体Poisson-Ampere方程中缺少的。精确的能量守恒定律也直接从漂移流体拉格朗日应用Noether方法。
英文摘要：
Nonlinear energy-conserving drift-fluid equations that are suitable to describe self-consistent finite-beta low-frequency electromagnetic (drift-Alfven) turbulent fluctuations in a nonuniform, anisotropic, magnetized plasma are derived from a variational principle. The variational principle is based on a drift-fluid Lagrangian that contains linear and nonlinear E x B velocities derived directly from the corresponding single-particle finite-beta gyrocenter Hamiltonian (in the zero-Larmor-radius limit). Covariant electromagnetic effects introduce a magnetic generalization to the standard ion polarization density as well as introduce a new ion magnetization current, which are both missing from existing gyrofluid and drift-fluid Poisson-Ampere equations. An exact energy conservation law is also derived directly from the drift-fluid Lagrangian by application of the Noether method.
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