2013/12/27 by Naoto Yokoyama, Masanori Takaoka · 21 citations
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Advanced Fiber Optic Sensors #Classical mechanics #Computational physics #Fluid Dynamics and Turbulent Flows #Mathematical analysis #Mathematics #Mechanics #Nonlinear system #Ocean Waves and Remote Sensing #Physics #Quantum mechanics #Representation (politics) #Separation (statistics) #Spectral line #Spectrum (functional analysis) #Statistical physics #Statistics #Turbulence #Wave turbulence #Wavenumber #nlin.CD #physics.flu-dyn
paper · pdf · doi:10.1103/physreve.89.012909
published in Physical Review E 89(1), 012909 (American Physical Society)
arxiv created 2013/12/27 · openalex publication_date 2014/01/13 · arxiv updated 2014/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A weakly nonlinear spectrum and a strongly nonlinear spectrum coexist in a statistically steady state of elastic wave turbulence. The analytical representation of the nonlinear frequency is obtained by evaluating the extended self-nonlinear interactions. The critical wave numbers at which the nonlinear frequencies are comparable with the linear frequencies agree with the separation wave numbers between the weak and strong turbulence spectra. We also confirm the validity of our analytical representation of the separation wave numbers through comparison with the results of direct numerical simulations by changing the material parameters of a vibrating plate.