Journal
JETP LETTERS
Volume 112, Issue 12, Pages 757-763Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S0021364020240030
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Funding
- Russian Science Foundation [19-71-00003]
- French National Research Agency (ANR Dysturb) [ANR-17-CE30-0004]
- Simons Foundation/MPS [651463]
- Russian Foundation for Basic Research [20-38-70022]
- Russian Science Foundation [19-71-00003] Funding Source: Russian Science Foundation
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We report on direct numerical simulation of quasi-one-dimensional bidirectional capillary-wave turbulence. Although nontrivial three-wave and four-wave resonant interactions are absent in this peculiar geometry, we show that an energy transfer between scales still occurs concentrated around the linear dispersion relation that is broadened by nonlinearity. The wave spectrum displays a clear wave number power-law scaling that is found to be in good agreement with the dimensionally prediction for capillary-wave turbulence involving four-wave interactions. The carried out high-order correlation analysis (bicoherence and tricoherence) confirms quantitatively the dominant role of four-wave quasi-resonant interactions. The Kolmogorov-Zakharov spectrum constant is also estimated numerically. We interpret our results as the first numerical observation of anisotropic capillary-wave turbulence in which four-wave interactions play a dominant role.
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