Constant flux relation for driven dissipative systems.
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 4/5th 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.
Connaughton
Colm
C
Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA.
Rajesh
R
R
Zaboronski
Oleg
O