非线性湍流波系中基于进动共振的鲁棒能量传递机制
Robust energy transfer mechanism via precession resonance in nonlinear turbulent wave systems
摘要：
在非线性波系统中发现了一种稳健的能量传递机制，这种机制有利于向通过具有非零频率失配的三元组相互作用的模式的传递，适用于气象学、非线性光学和等离子体波湍流。我们引入了真正动力学的自由度和三和弦进动的概念。传输效率是最大的时，三和弦的进动频率与系统的非线性频率共振，导致集体状态的同步三和弦与强烈的湍流级联在中间非线性。数值模拟证实了分析预测。
英文摘要：
A robust energy transfer mechanism is found in nonlinear wave systems, which favours transfers towards modes interacting via triads with nonzero frequency mismatch, applicable in meteorology, nonlinear optics and plasma wave turbulence. We introduce the concepts of truly dynamical degrees of freedom and triad precession. Transfer efficiency is maximal when the triads' precession frequencies resonate with the system's nonlinear frequencies, leading to a collective state of synchronised triads with strong turbulent cascades at intermediate nonlinearity. Numerical simulations confirm analytical predictions.
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