Fourier amplitude distribution and intermittency in mechanically generated surface gravity waves

Fadaeiazar, Elmira, Leontini, Justin, Onorato, Miguel, Waseda, Takuji, Alberello, Alberto ORCID: and Toffoli, Alessandro (2020) Fourier amplitude distribution and intermittency in mechanically generated surface gravity waves. Physical Review E, 102 (1). ISSN 2470-0045

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We examine and discuss the spatial evolution of the statistical properties of mechanically generated surface gravity wave fields, initialized with unidirectional spectral energy distributions, uniformly distributed phases, and Rayleigh distributed amplitudes. We demonstrate that nonlinear interactions produce an energy cascade towards high frequency modes with a directional spread and trigger localized intermittent bursts. By analyzing the probability density function of Fourier mode amplitudes in the high frequency range of the wave energy spectrum, we show that a heavy-tailed distribution emerges with distance from the wave generator as a result of these intermittent bursts, departing from the originally imposed Rayleigh distribution, even under relatively weak nonlinear conditions.

Item Type: Article
Additional Information: Funding Information: This research was supported by the JSPS Fellowship for Research in Japan Program, Grants-in-Aid for Scientific Research of the Japanese Society for for the Promotion of Science, and the International Science Linkages (ISL) Program of the Australian Academy of Science. M.O. received support from the Simons Collaboration on Wave Turbulence, Award No. 617006 and from “Departments of Excellence 2018–2022” grant awarded by the Italian Ministry of Education, University and Research (MIUR, L.232/2016). A.A. and M.O. were supported by the project “Metapp” (No. CSTO160004) funded by Fondazione San Paolo. A.A. and A.T. acknowledge support from the Air-Sea-Ice Lab Project. M.O. is grateful to Dr. B. GiuliNico for discussions. Publisher Copyright: © 2020 American Physical Society.
Uncontrolled Keywords: statistical and nonlinear physics,statistics and probability,condensed matter physics ,/dk/atira/pure/subjectarea/asjc/3100/3109
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Depositing User: LivePure Connector
Date Deposited: 04 Dec 2021 01:41
Last Modified: 22 Oct 2022 15:30
DOI: 10.1103/PhysRevE.102.013106

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