Fluctuation-response relation in turbulent systems
- 14 December 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 65 (1) , 016302
- https://doi.org/10.1103/physreve.65.016302
Abstract
We address the problem of measuring time properties of response functions (Green functions) in Gaussian models (Orszag-McLaughin) and strongly non-Gaussian models (shell models for turbulence). We introduce the concept of halving-time statistics to have a statistically stable tool to quantify the time decay of response functions and generalized response functions of high order. We show numerically that in shell models for three-dimensional turbulence response functions are inertial range quantities. This is a strong indication that the invariant measure describing the shell-velocity fluctuations is characterized by short range interactions between neighboring shells.Keywords
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