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arXiv 2201.08707physics.plasm-ph
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回转运动不稳定性的能量边界。部件II。最佳增长模式

Energetic bounds on gyrokinetic instabilities. Part II. Modes of optimal growth

G. G. Plunk, Per Helander

摘要:

我们引入模式的瞬时最佳增长的自由能的完全电磁陀螺方程。我们演示了这些“最佳模式”是如何自然产生的自由能平衡方程,使其方便的分解,并产生一个简单的图片的能量流。最佳模式有许多其他有利的功能,如它们的低维,计算效率,以及事实上,他们的增长率提供了一个严格的和“紧”的上限上的非线性增长率的能量,和传统的gyrokinetic(正常模式)不稳定性的线性增长率。我们提供了简单的封闭形式的解决方案的最佳增长率在一些渐近极限,并比较这些与我们以前的界限。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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