Direct Verification of the Kinetic Description of Wave Turbulence for Finite-Size Systems Dominated by Interactions among Groups of Six Waves
Direct Verification of the Kinetic Description of Wave Turbulence for Finite-Size Systems Dominated by Interactions among Groups of Six Waves
复制标题
六波群相互作用主导的有限尺寸系统波湍流动力学描述的直接验证
DOI：
10.1103/physrevlett.129.034101
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发表时间：
2022
影响因子：
8.6
通讯作者：
Shatah, J.
中科院分区：
文献类型：
--
作者：
Banks, J. W.;Buckmaster, T.;Korotkevich, A. O.;Kovačič, G.;Shatah, J.
本文考虑系统的动力学由6个非线性波群之间的非线性相互作用所支配，例如由非受迫五次非线性薛定谔方程描述的那些波群。从理论上预测了有限尺度系统的系综平均动力学可以用波浪湍流理论中的波动动力学方程精确描述的特定参数区域。此外，还讨论了波浪运动方程可能不能很好地预测这些区域以外的波浪动力学的根本原因。通过比较动力学方程的系综平均解和波动动力学方程的相应解，可以直接验证这些理论预测。
The present work considers systems whose dynamics are governed by the nonlinear interactions among groups of 6 nonlinear waves, such as those described by the unforced quintic nonlinear Schrödinger equation. Specific parameter regimes in which ensemble-averaged dynamics of such systems with finite size are accurately described by a wave kinetic equation, as used in wave turbulence theory, are theoretically predicted. In addition, the underlying reasons that the wave kinetic equation may be a poor predictor of wave dynamics outside these regimes are also discussed. These theoretical predictions are directly verified by comparing ensemble averages of solutions to the dynamical equation with corresponding solutions of the wave kinetic equation.