Phenomenological model for predicting stationary and non-stationary spectra of wave turbulence in vibrating plates

Autor:	Humbert, T., Josserand, C., Touzé, C., Cadot, O.
Rok vydání:	2017
Předmět:	Condensed Matter - Statistical Mechanics Nonlinear Sciences - Chaotic Dynamics Physics - Classical Physics
Zdroj:	Physica D: Nonlinear Phenomena 316 (2016): 34-42
Druh dokumentu:	Working Paper
DOI:	10.1016/j.physd.2015.11.006
Popis:	A phenomenological model describing the time-frequency dependence of the power spectrum of thin plates vibrating in a wave turbulence regime, is introduced. The model equation contains as basic solutions the Rayleigh-Jeans equipartition of energy, as well as the Kolmogorov-Zakharov spectrum of wave turbulence. In the Wave Turbulence Theory framework, the model is used to investigate the self-similar, non-stationary solutions of forced and free turbulent vibrations. Frequency-dependent damping laws can easily be accounted for. Their effects on the characteristics of the stationary spectra of turbulence are then investigated. Thanks to this analysis, self-similar universal solutions are given, relating the power spectrum to both the injected power and the damping law. Comment: 22 pages, 9 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1709.09884 Zobrazit plný text záznamu View this record from Arxiv