Fluctuation theorem and extended thermodynamics of turbulence.

Journal Article (Journal Article)

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. This energy cascade is modelled by approximating the spectral energy balance with a nonlinear Fokker-Planck equation consistent with accepted phenomenological theories of turbulence. The steady-state contributions of the drift and diffusion in the corresponding Langevin equation, combined with the killing term associated with the dissipation, induce a stochastic energy transfer across wavenumbers. The fluctuation theorem is 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 is used to formulate an extended turbulence thermodynamics.

Full Text

Duke Authors

Cited Authors

  • Porporato, A; Hooshyar, M; Bragg, AD; Katul, G

Published Date

  • November 18, 2020

Published In

Volume / Issue

  • 476 / 2243

Start / End Page

  • 20200468 -

PubMed ID

  • 33362415

Pubmed Central ID

  • PMC7735311

Electronic International Standard Serial Number (EISSN)

  • 1471-2946

International Standard Serial Number (ISSN)

  • 1364-5021

Digital Object Identifier (DOI)

  • 10.1098/rspa.2020.0468


  • eng