论文标题
陀螺仪不稳定性的充满活力的界限。第二部分。最佳增长模式
Energetic bounds on gyrokinetic instabilities. Part II. Modes of optimal growth
论文作者
论文摘要
我们介绍了完全电磁陀螺仪方程的自由能的瞬时最佳生长模式。我们演示了这些“最佳模式”是如何自然而然地来自自由能平衡方程，从而使其方便的分解以及产生了能量流的简单图片。最佳模式具有许多其他有利的特征，例如它们的低维度，计算效率以及其增长率在非线性的能源生长速度以及传统陀螺仪（正常模式）不稳定的线性生长速率上提供了严格且“紧密”的上限。我们为许多渐近限制提供了简单的封闭形式解决方案，可为最佳增长率提供最佳的增长率，并将其与我们以前的界限进行比较。
We introduce modes of instantaneous optimal growth of free energy for the fully electromagnetic gyrokinetic equations. We demonstrate how these "optimal modes" arise naturally from the free energy balance equation, allowing its convenient decomposition, and yielding a simple picture of energy flows. Optimal modes have a number of other favorable features, such as their low-dimensionality, efficiency of computation, and the fact that their growth rates provide a rigorous and "tight" upper bound on both the nonlinear growth rate of energy, and the linear growth rate of traditional gyrokinetic (normal mode) instabilities. We provide simple closed form solutions for the optimal growth rates in a number of asymptotic limits, and compare these with our previous bounds.
