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Constant flux relation for driven dissipative systems

Colm Connaughton·R. Rajesh·Oleg Zaboronski
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Abstract

Conservation laws constrain the stationary state statistics of driven dissipative systems because the average flux of a conserved quantity between driving and dissipation scales should be constant. This requirement leads to a universal scaling law for flux-measuring correlation functions, which generalizes the 4/5-th law of Navier-Stokes turbulence. We demonstrate the utility of this simple idea by deriving new exact scaling relations for models of aggregating particle systems in the fluctuation-dominated regime and for energy and wave action cascades in models of strong wave turbulence.

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BibTeXRIS

Colm Connaughton, R. Rajesh, Oleg Zaboronski. 2007-02-14. Constant flux relation for driven dissipative systems. https://doi.org/10.1103/physrevlett.98.080601

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