Weak turbulence and collapses in the Majda–McLaughlin–Tabak equation: Fluxes in wavenumber and in amplitude space

The turbulent energy flow of the one-dimensional Majda–McLaughlin–Tabak equation (MMT) is studied numerically. The system exhibits weak turbulence for weak driving forces, while weak turbulence coexists with strongly nonlinear intermittent collapses when the system is strongly driven. These two type...

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Bibliographic Details
Published inPhysica. D Vol. 204; no. 3; pp. 188 - 203
Main Authors Rumpf, Benno, Biven, Laura
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 15.05.2005
Elsevier
Subjects
Exact sciences and technology
Intermittency
Physics
Wave collapse
Weak turbulence
47.35.+i
05.60.+w
47.27.Eq
Weak turbulence
52.35.-g
Intermittency
Wave collapse
Collapse
Turbulent flow
Non linear phenomenon
Particle flux
Dynamics
52.35.-g Weak turbulence
Energy transfer
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Summary:The turbulent energy flow of the one-dimensional Majda–McLaughlin–Tabak equation (MMT) is studied numerically. The system exhibits weak turbulence for weak driving forces, while weak turbulence coexists with strongly nonlinear intermittent collapses when the system is strongly driven. These two types of dynamics can be distinguished by their energy and particle fluxes. The weakly turbulent process can be characterized by fluxes in wavenumber space, while additional fluxes in amplitude space emerge in the intermittent process. The particle flux is directed from low amplitudes towards high amplitudes, and the energy flows in the opposite direction.
ISSN:0167-2789
1872-8022
DOI:10.1016/j.physd.2005.04.012