Response function of turbulence computed via fluctuation-response relation of a Langevin system with vanishing noise
arXiv:1406.1585 · doi:10.1103/PhysRevE.89.061002
Abstract
For a shell model of the fully developed turbulence and the incompressible Navier-Stokes equations in the Fourier space, when a Gaussian white noise is artificially added to the equation of each mode, an expression of the mean linear response function in terms of the velocity correlation functions is derived by applying the method developed for nonequilibrium Langevin systems [Harada and Sasa, Phys. Rev. Lett. 95, 130602 (2005)]. We verify numerically for the shell model case that the derived expression of the response function, as the noise tends to zero, converges to the response function of the noiseless shell model.
arXiv comment5 pages, 3 figures
References in corpus (19)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Fluctuation-Dissipation: Response Theory in Statistical Physics
- Equality connecting energy dissipation with violation of fluctuation-response relation
- An optimal shell model of turbulence
- Energy dissipation and violation of the fluctuation-response relation in non-equilibrium Langevin systems
- Turbulence and Multiscaling in the Randomly Forced Navier Stokes Equation
- Experimental Test of a New Equality: Measuring Heat Dissipation in an Optically Driven Colloidal System
- Stick-slip motion of solids with dry friction subject to random vibrations and an external field
- The Varieties of Dynamic Multiscaling in Fluid Turbulence
- Effects of forcing in three dimensional turbulent flows
- Dynamic Multiscaling in Two-dimensional Fluid Turbulence
- Multi-Time Multi-Scale Correlation Functions in Hydrodynamic Turbulence
- On the scaling properties of 2d randomly stirred Navier--Stokes equation
- On scaling and statistical geometry in passive scalar turbulence
- Fluctuation-response relation in turbulent systems
- Nonequilibrium identities and response theory for dissipative particles
- Microscopic description of the equality between violation of fluctuation-dissipation relation and energy dissipation
- Gallavotti-Cohen theorem, Chaotic Hypothesis and the zero-noise limit
- DNS-based measurement of the mean impulse response of homogeneous isotropic turbulence
Cited by in corpus (4)
- Correlation function and linear response function of homogeneous isotropic turbulence in the Eulerian and Lagrangian coordinates
- A handy fluctuation-dissipation relation to approach generic noisy systems and chaotic dynamics
- Non-equilibrium statistical mechanics of the turbulent energy cascade: irreversibility and response functions
- Violation of the second fluctuation-dissipation relation and entropy production in nonequilibrium medium