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arXiv · 1305.5517

Robust energy transfer mechanism and critically balanced turbulence via non-resonant triads in nonlinear wave systems

Miguel D. Bustamante·Brenda Quinn
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Abstract

A robust energy transfer mechanism is found in nonlinear wave systems, which favours transfers towards modes interacting via non-resonant triads, applicable in meteorology, nonlinear optics and plasma wave turbulence. Transfer efficiency is maximal when the frequency mismatch of the non-resonant triad balances the system's nonlinear frequency: at intermediate levels of oscillation amplitudes an instability is triggered that explores unstable manifolds of periodic orbits, so turbulent cascades are most efficient at intermediate nonlinearity. Numerical simulations confirm analytical predictions.

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Miguel D. Bustamante, Brenda Quinn. 2013-09-02. Robust energy transfer mechanism and critically balanced turbulence via non-resonant triads in nonlinear wave systems. https://arxiv.org/abs/1305.5517

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