Robust energy transfer mechanism via precession resonance in nonlinear turbulent wave systems
Fluid Dynamics
2015-06-19 v1 Chaotic Dynamics
Abstract
A robust energy transfer mechanism is found in nonlinear wave systems, which favours transfers towards modes interacting via triads with nonzero frequency mismatch, applicable in meteorology, nonlinear optics and plasma wave turbulence. We introduce the concepts of truly dynamical degrees of freedom and triad precession. Transfer efficiency is maximal when the triads' precession frequencies resonate with the system's nonlinear frequencies, leading to a collective state of synchronised triads with strong turbulent cascades at intermediate nonlinearity. Numerical simulations confirm analytical predictions.
Keywords
Cite
@article{arxiv.1404.7833,
title = {Robust energy transfer mechanism via precession resonance in nonlinear turbulent wave systems},
author = {Miguel D. Bustamante and Brenda Quinn and Dan Lucas},
journal= {arXiv preprint arXiv:1404.7833},
year = {2015}
}
Comments
This paper supersedes arXiv:1305.5517 [physics.flu-dyn]