2015/12/30 by A. Bershadskii, Bershadskii, A.
Economics, Econometrics and Finance · Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Chaotic Dynamics (nlin.CD) #Complex Systems and Time Series Analysis #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows
paper · pdf · doi:10.48550/arxiv.1512.08837
openalex publication_date 2015/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Power spectrum of the distributed chaos can be represented by a weighted superposition of the exponential functions which is converged to a stretched exponential ∝ exp-(k/kβ)β. An asymptotic theory has been developed in order to estimate the value of β for the isotropic turbulence. This value has been found to be β=3/4. Excellent agreement has been established between this theory and the data of direct numerical simulations not only for the velocity field but also for the passive scalar, energy dissipation rate, and magnetic fields. One can conclude that the isotropic turbulence emerges from the distributed chaos.