非均匀等离子体中按需朗缪尔turbulence谱特征的Zakharov模拟研究
Zakharov simulation study of spectral features of on-demand Langmuir turbulence in an inhomogeneous plasma
摘要：
我们已经进行了一个模拟研究的朗缪尔湍流在地球的电离层的Zakharov模型与相关参数的F层。该模型包括耗散项模型碰撞和朗道阻尼的电子和离子，和线性密度分布，它模拟电离层等离子体的不均匀性，其长度尺度是10- 100公里的顺序。注入到系统中的能量是由Zakharov方程中的一个恒定的源项。朗缪尔湍流是在受控电离层改造实验中“按需”激发的，其中能量是由注入头顶电离层等离子体的高频无线电波束提供的。可以用雷达和地面接收器记录的二次辐射的形式来研究随之而来的湍流。我们已经分析了不同的参数和不同的高度相对于线性朗缪尔模式的朗缪尔频率等于当地等离子体频率的转折点的湍流的光谱特征。通过参数分析，我们导出了一个简单的标度律，它把湍流频谱的谱宽与电离层的物理参数联系起来。标度律提供了物理参数（温度、电子数密度、电离层长度标度等）与电离层厚度之间的定量关系。和观察到的频谱。这一定律可能有助于解释实验结果。
英文摘要：
We have performed a simulation study of Langmuir turbulence in the Earth's ionosphere by means of a Zakharov model with parameters relevant for the F layer. The model includes dissipative terms to model collisions and Landau damping of the electrons and ions, and a linear density profile, which models the ionospheric plasma inhomogeneity whose length scale is of the order 10--100 km. The injection of energy into the system is modeled by a constant source term in the Zakharov equation. Langmuir turbulence is excited ``on-demand'' in controlled ionospheric modification experiments where the energy is provided by an HF radio beam injected into the overhead ionospheric plasma. The ensuing turbulence can be studied with radars and in the form of secondary radiation recorded by ground-based receivers. We have analyzed spectral signatures of the turbulence for different sets of parameters and different altitudes relative to the turning point of the linear Langmuir mode where the Langmuir frequency equals the local plasma frequency. By a parametric analysis, we have derived a simple scaling law, which links the spectral width of the turbulent frequency spectrum to the physical parameters in the ionosphere. The scaling law provides a quantitative relation between the physical parameters (temperatures, electron number density, ionospheric length scale, etc.) and the observed frequency spectrum. This law may be useful for interpreting experimental results.
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