Invariant measures and entropy production in wave turbulence

Per Jakobsen; Alan C. Newell

doi:10.1088/1742-5468/2004/10/L10002

Invariant measures and entropy production in wave turbulence

Per Jakobsen, Alan C. Newell

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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 language	English (US)
Article number	L10002
Journal	Journal of Statistical Mechanics: Theory and Experiment
Issue number	10
DOIs	https://doi.org/10.1088/1742-5468/2004/10/L10002
State	Published - Oct 2004

Keywords

turbulence

ASJC Scopus subject areas

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

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10.1088/1742-5468/2004/10/L10002

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Invariant measures and entropy production in wave turbulence

Abstract

Keywords

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