Large-scale properties of wave turbulence

1 October 1995

journal article
research article
Published by American Physical Society (APS) in Physical Review E

Vol. 52 (4) , 4537-4540
https://doi.org/10.1103/physreve.52.4537

Abstract

Wave turbulence for systems with only direct (small-scale) turbulent cascades is analyzed at scales much larger than the scale of the pumping. At such scales, the turbulence spectrum is shown to turn into an equilibrium Rayleigh-Jeans distribution with the temperature determined by the pumping scale and energy dissipation rate (the turbulent flux). The behavior of the damping of the waves changes drastically at a scale determined by the mean free path of turbulent waves. Two particular examples of acoustic and capillary-wave turbulence are considered. We also carried out numerics which confirm the theoretical predictions.

Keywords

This publication has 3 references indexed in Scilit:

Kolmogorov Spectra of Turbulence I
Published by Springer Nature ,1992
Statistical Dynamics of Classical Systems
Physical Review A, 1973
Formulation of the theory of turbulence in an incompressible fluid
Annals of Physics, 1961