Weak turbulent Kolmogorov spectrum for surface gravity waves

A. I. Dyachenko, A. O. Korotkevich, V. E. Zakharov

Research output: Contribution to journalArticlepeer-review

79 Scopus citations


The evolution of surface gravity waves on deep water excited by a stochastic external force concentrated in small wave number was studied. The primitive Eular equations were implemented for the potential flow of an ideal fluid with free surface written in hamiltonian canonical varibles. The growth of wave energy due to stochastic external force was arrested by nonlinear resonant four-wave processes, which leads to formation of powerlike Kolmogorov spectrum. It was found that, for the different pumping level surface elevation spectra differ only due to the different energy flux.

Original languageEnglish (US)
Article number134501
Pages (from-to)134501-1-134501-4
JournalPhysical review letters
Issue number13
StatePublished - Apr 2 2004
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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