Publications [#354294] of Gabriel G. Katul
Papers Published
- Porporato, A; Hooshyar, M; Bragg, AD; Katul, G, Fluctuation theorem and extended thermodynamics of turbulence.,
Proceedings. Mathematical, Physical, and Engineering Sciences, vol. 476 no. 2243
(November, 2020),
pp. 20200468 [doi]
(last updated on 2023/06/01)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. 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.