Invariant measures and entropy production in wave turbulence

Per Jakobsen, Alan C Newell

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

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
DOIs
StatePublished - 2004

Fingerprint

Entropy Production
Invariant Measure
Turbulence
turbulence
entropy
Equipartition
Liouville Equation
Liouville equations
Evolution System
Long-time Behavior
probability density functions
Probability density function
Well-defined
Phase Space
Approximation
approximation
Demonstrate
Entropy

Keywords

  • turbulence

ASJC Scopus subject areas

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

Cite this

Invariant measures and entropy production in wave turbulence. / Jakobsen, Per; Newell, Alan C.

In: Journal of Statistical Mechanics: Theory and Experiment, No. 10, L10002, 2004.

Research output: Contribution to journalArticle

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