极光E区Farley-Buneman turbulence共振增宽理论
Resonance broadening theory of Farley-Buneman turbulence in the auroral E-region
摘要：
本文对传统的两组分等离子体在磁场中共振展宽理论进行了修正，并将其应用于电离层湍流情况。在过去，在共振加宽的传统理论中所做的假设导致在线性介电函数的共振部分中用$ω+ik_{\perp}^{2}D^{*}$代替频率$ω$以获得非线性介电函数。其中$D^{*}$是仅由粒子轨道的波散射引起的反常扩散系数。我们表明，在一般情况下，这些假设是无效的，因此直接替换的频率是不合法的。我们纠正这些问题，并推导出表达式的扩散张量的时间依赖性组件。改进的共振加宽理论是在电离层问题的背景下发展起来的，即在极光E区的Farley-Buneman湍流。一个动力学描述的电子。在不存在平行电场的特殊情况下，导出了非线性介电函数的一般表达式，并讨论了与传统色散关系的区别。
英文摘要：
The conventional theory of resonance broadening for a two-species plasma in a magnetic field is revised, and applied to an ionospheric turbulence case. The assumptions made in the conventional theory of resonance broadening have, in the past, led to replacing the frequency $ω$ by $ω+ik_{\perp}^{2}D^{*}$ in the resonant part of the linear dielectric function to obtain the nonlinear dielectric function. Where $D^{*}$ is an anomalous diffusion coefficient due solely to wave scattering of the particle orbits. We show that in general these assumptions are not valid, and consequently the straightforward substitution of frequencies is not legitimate. We remedy these problems and derive expressions for the time-dependent components of the diffusion tensor. The improved resonance broadening theory is developed in the context of an ionospheric problem, namely that of the Farley-Buneman turbulence in the auroral E-region. A kinetic description of the electrons is used. A general expression for the nonlinear dielectric function is derived in the special case where no parallel electric field is present, and the differences with the conventional dispersion relation are discussed.
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