Constant flux relation for driven dissipative systems
Statistical Mechanics
2013-05-29 v2
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.
Cite
@article{arxiv.cond-mat/0607656,
title = {Constant flux relation for driven dissipative systems},
author = {Colm Connaughton and R. Rajesh and Oleg Zaboronski},
journal= {arXiv preprint arXiv:cond-mat/0607656},
year = {2013}
}
Comments
4 pages, no figures. Improved presentation and corrected some typographical errors and references. Scientific content essentially unchanged