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.
Original language | English |
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Pages (from-to) | 4537-4540 |
Number of pages | 4 |
Journal | Physical Review E |
Volume | 52 |
Issue number | 4 |
DOIs | |
State | Published - 1995 |
Externally published | Yes |