Large-scale properties of wave turbulence
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.
- Publication:
-
Physical Review E
- Pub Date:
- October 1995
- DOI:
- 10.1103/PhysRevE.52.4537
- Bibcode:
- 1995PhRvE..52.4537B
- Keywords:
-
- 47.27.-i;
- Turbulent flows