Fluctuation-theorem and extended thermodynamics of turbulence
arXiv:2005.01522 · doi:10.1098/rspa.2020.0468
Abstract
Turbulent flows are out-of-equilibrium because the energy supply at large scales and its dissipation by viscosity at small scales create a net transfer of energy among all scales. Here, the energy cascade is approximated by a combined contribution of a forward drift and diffusion that recover accepted phenomenological theories of turbulence. The fluctuation theorem (FT) is then shown to describe the scale-wise statistics of forward and backward energy transfer and their connection to irreversibility and entropy production. The ensuing turbulence entropy may be used to formulate an extended turbulence thermodynamics.
References in corpus (11)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Particles and fields in fluid turbulence
- Dynamical ensembles in stationary states
- Inverse energy cascade in three-dimensional isotropic turbulence
- Is vortex stretching the main cause of the turbulent energy cascade?
- Fluctuations in out of equilibrium systems: from theory to experiment
- Experimental test of the Gallavotti-Cohen fluctuation theorem in turbulent flows
- Turbulence as a problem in non-equilibrium statistical mechanics
- On universal features of the turbulent cascade in terms of non-equilibrium thermodynamics
- Test of the Fluctuation Relation in lagrangian turbulence on a free surface
- Extremes, intermittency and time reversibility of atmospheric turbulence at the cross-over from production to inertial scales