Large-scale properties of wave turbulence

E. Balkovsky; G. Falkovich; V. Lebedev; I. Ya Shapiro

doi:10.1103/physreve.52.4537

Large-scale properties of wave turbulence

E. Balkovsky
, G. Falkovich
, V. Lebedev
, I. Ya Shapiro

RAS - Landau Institute for Theoretical Physics
Weizmann Institute of Science
Tel Aviv University

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

16 Scopus citations

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
Pages (from-to)	4537-4540
Number of pages	4
Journal	Physical Review E
Volume	52
Issue number	4
DOIs	https://doi.org/10.1103/physreve.52.4537
State	Published - 1995
Externally published	Yes

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10.1103/physreve.52.4537

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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.",

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AU - Falkovich, G.

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AU - Shapiro, I. Ya

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N2 - 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.

AB - 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.

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Large-scale properties of wave turbulence

Abstract

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