Dependence of energy spectra on forcing scales in elastic wave turbulence

Abstract eng:
Energy spectra of elastic wave turbulence are examined by simulating the F¨oppl-von K´arm´an equation for several forcing scales. There are two key scales: one is the system’s scale and the other is the critical scale where the nonlinear frequencies are comparable with the linear ones. Although the energy spectra with the power law corresponding to the inverse wave-action cascade is observed in the middle stage, it eventually relaxes to that for the energy equipartition. Various power-law spectra are observed depending on the forcing scales.

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