Renormalized Resonance Quartets in Dispersive Wave Turbulence

Wonjung Lee, Gregor Kovačič, David Cai

Research output: Contribution to journalArticlepeer-review


Using the (1+1)D Majda-McLaughlin-Tabak model as an example, we present an extension of the wave turbulence (WT) theory to systems with strong nonlinearities. We demonstrate that nonlinear wave interactions renormalize the dynamics, leading to (i) a possible destruction of scaling structures in the bare wave systems and a drastic deformation of the resonant manifold even at weak nonlinearities, and (ii) creation of nonlinear resonance quartets in wave systems for which there would be no resonances as predicted by the linear dispersion relation. Finally, we derive an effective WT kinetic equation and show that our prediction of the renormalized Rayleigh-Jeans distribution is in excellent agreement with the simulation of the full wave system in equilibrium.

Original languageEnglish (US)
Article number024502
JournalPhysical Review Letters
Issue number2
StatePublished - Aug 6 2009

ASJC Scopus subject areas

  • General Physics and Astronomy


Dive into the research topics of 'Renormalized Resonance Quartets in Dispersive Wave Turbulence'. Together they form a unique fingerprint.

Cite this