2016/08/16 by A. Bershadskii, Bershadskii, A.
Economics, Econometrics and Finance · Engineering · #Chaotic Dynamics (nlin.CD) #Complex Systems and Time Series Analysis #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Solar and Stellar Astrophysics (astro-ph.SR) #Stochastic processes and financial applications
paper · pdf · doi:10.48550/arxiv.1608.04657
openalex publication_date 2016/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is shown, by the means of distributed chaos approach and using the experimental data, that at very large Rayleigh number Ra > 1014 and Prandtl number Pr ∼ 1 the Rayleigh-Bénard turbulence can undergo a transition related to spontaneous breaking of the fundamental Lagrangian relabeling symmetry. Due to the Noether's theorem helicity plays central role in this process. After the transition the temperature spectrum has a stretched exponential form E (k) ∝ exp(-k/kβ)β with β=2/5 both at the cell midplain and at the near-wall (low boundary) regions. There is a similarity between this phenomenon and the effects of polymer additives.