Invariant measures and entropy production in wave turbulence

Per Jakobsen, Alan C. Newell

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We define, for wave turbulence, probability density functions (pdfs) on a suitably chosen phase space. We derive the Liouville equation for their evolution and identify their long time behaviours corresponding to equipartition and finite flux Kolmogorov-Zakharov (KZ) spectra. We demonstrate that, even in nonisolated systems, entropy production (d/dt)∫ρln ρdV is well defined and plays an important role in the system's evolution and we find its representation in the wave turbulence approximation.

Original languageEnglish (US)
Article numberL10002
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number10
StatePublished - Oct 2004


  • turbulence

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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