Majda-McLaughlin-Tabak模型中从弱湍流到崩溃湍流状态的过渡

IF 2.4 3区 物理与天体物理 Q1 Mathematics Physical review. E Pub Date : 2024-08-05 DOI:10.1103/physreve.110.024202
Ashleigh Simonis, Yulin Pan
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摘要

众所周知,由于调制不稳定性,聚焦一维(1D)Majda-McLaughlin-Tabak(MMT)模型会出现波坍缩。然而,这些波坍缩如何影响波场的频谱特性和统计量尚未得到充分研究。为此,我们在一定范围内模拟了强迫消散的一维 MMT 模型。我们的结果表明,当强迫较弱时,频谱与波湍流理论的预测非常吻合,场中几乎没有塌陷。随着强迫强度的增加,我们发现塌陷发生率增加,同时频谱也从幂律频谱过渡到指数衰减频谱。通过谱分解,我们发现指数谱是由非可积分 MMT 模型中的波坍缩成分主导的,这与可积分湍流中的孤子气体类似。
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Transition from weak turbulence to collapse turbulence regimes in the Majda-McLaughlin-Tabak model
It is well known that wave collapses can emerge from the focusing one-dimensional (1D) Majda-McLaughlin-Tabak (MMT) model as a result of modulational instability. However, how these wave collapses affect the spectral properties and statistics of the wave field has not been adequately studied. We undertake this task by simulating the forced-dissipated 1D MMT model over a range of forcing amplitudes. Our results show that when the forcing is weak, the spectrum agrees well with the prediction by wave turbulence theory with few collapses in the field. As the forcing strength increases, we see an increase in the occurrence of collapses, together with a transition from a power-law spectrum to an exponentially decaying spectrum. Through a spectral decomposition, we find that the exponential spectrum is dominated by the wave collapse component in the nonintegrable MMT model, which is in analogy to a soliton gas in integrable turbulence.
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来源期刊
Physical review. E
Physical review. E 物理-物理:流体与等离子体
CiteScore
4.60
自引率
16.70%
发文量
0
审稿时长
3.3 months
期刊介绍: Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.
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