Constant flux relation for driven dissipative systems

Details Constant flux relation for driven dissipative systems Constant flux relation for driven dissipative systems

2006-07-25

arxiv.org/abs/cond-mat/0607656v2

Physical Review Letters, Vol 98, 080601 (2007)

Physics

Condensed Matter

Statistical Mechanics

4 pages, no figures. Improved presentation and corrected some typographical errors and references. Scientific content essentia

Scientific paper

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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