纵向Akhiezer-Polovin波相位混合时间的解析估计
Analytical Estimate of Phase Mixing Time of Longitudinal Akhiezer - Polovin Wave
摘要：
研究了小振幅纵向扰动下纵向Akhiezer-Polovin波的相位混合和最终破裂。众所周知，当受到任意小的纵向扰动时，纵向Akhiezer-Polovin波在远低于其破裂振幅的振幅下经由相位混合过程破裂[Phys.Rev.Lett.108，125005（2012）]。在这里，我们分析表明，相混合时间（破碎时间）与波的相速度的线性关系，与最大流体速度的平方反比关系，它是成反比的扰动的振幅。基于Dawson片模型的数值模拟进一步验证了相混合时间对上述三个参数的解析依赖性。
英文摘要：
Phase mixing and eventual breaking of longitudinal Akhiezer - Polovin wave subjected to a small amplitude longitudinal perturbation is studied analytically. It is well known that longitudinal Akhiezer - Polovin wave breaks via the process of phase mixing at an amplitude well below its breaking amplitude, when subjected to arbitrarily small longitudinal perturbation[Phys. Rev. Lett.108, 125005 (2012)]. Here we analytically show that the phase mixing time (breaking time) has a linear dependence with phase velocity of the wave, inverse square dependence with the maximum fluid velocity and it is inversely proportional to the amplitude of perturbation. This analytical dependence of phase mixing time on the above three parameters is further verified using numerical simulations based on Dawson Sheet Model.
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