论文标题
不均匀等离子体的准线性理论
Quasilinear theory for inhomogeneous plasma
论文作者
论文摘要
本文提出了与不均匀湍流相互作用的经典等离子体的准线性理论（QLT）。粒子汉密尔顿人保持一般；例如，相对论，电磁和重力效应被包含。穿着的“振荡中心”分布的fokker - planck方程是从klimontovich方程式得出的，并捕获了准线性扩散，与背景场的相互作用以及同时的ponderomotive效应。局部扩散系数显然是阳性的 - 半米限体。允许波浪偏离壳（即不受分散关系的限制），而乳房类型的碰撞积分出现的形式不限于任何特定的哈密顿量。该操作员可以节省颗粒，动量和能量，并且像往常一样满足H Theorem。作为衍生产品，得出了微观波动光谱的一般表达。对于满足准线性波动方程的壳波浪，该理论可以保留波浪系统的动量和能量。与标准版本的QLT不同，非谐波波的作用也是保守的。 Dewar的静电湍流的振荡中心QLT（1973，Phys。Fluids16，1102）被正式证明是一种特殊情况，并具有简洁的配方。还提出了相对论的电磁和重力相互作用，并提出了引力波的QLT。
This paper presents quasilinear theory (QLT) for classical plasma interacting with inhomogeneous turbulence. The particle Hamiltonian is kept general; for example, relativistic, electromagnetic, and gravitational effects are subsumed. A Fokker--Planck equation for the dressed 'oscillation-center' distribution is derived from the Klimontovich equation and captures quasilinear diffusion, interaction with the background fields, and ponderomotive effects simultaneously. The local diffusion coefficient is manifestly positive-semidefinite. Waves are allowed to be off-shell (i.e. not constrained by a dispersion relation), and a collision integral of the Balescu--Lenard type emerges in a form that is not restricted to any particular Hamiltonian. This operator conserves particles, momentum, and energy, and it also satisfies the H-theorem, as usual. As a spin-off, a general expression for the spectrum of microscopic fluctuations is derived. For on-shell waves, which satisfy a quasilinear wave-kinetic equation, the theory conserves the momentum and energy of the wave--plasma system. The action of nonresonant waves is also conserved, unlike in the standard version of QLT. Dewar's oscillation-center QLT of electrostatic turbulence (1973, Phys. Fluids 16, 1102) is proven formally as a particular case and given a concise formulation. Also discussed as examples are relativistic electromagnetic and gravitational interactions, and QLT for gravitational waves is proposed.
