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Phys. Rev. E 52, 4537–4540 (1995)

Large-scale properties of wave turbulence

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E. Balkovsky, G. Falkovich, V. Lebedev, and I. Ya. Shapiro
Landau Institute for Theoretical Physics, Moscow 117 940, Kosygina 2, Russia
Department of Physics, Weizmann Institute of Science, Rehovot 76100, Israel
Department of Fluid Mechanics and Heat Transfer, Tel-Aviv University, Tel-Aviv, 69978, Israel

Received 8 May 1995; published in the issue dated October 1995

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.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.52.4537
DOI:
10.1103/PhysRevE.52.4537
PACS:
47.27.-i