Distributed chaos and Rayleigh-Benard turbulence at very high Ra

It is shown, by the means of distributed chaos approach and using the experimental data, that at very large Rayleigh number $Ra>{10}^{14}$ and Prandtl number $Pr\sim 1$ the Rayleigh-B'{e}nard 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 $E(k)\propto \exp (-k\mathrm{/}{k}_{\beta }{)}^{\beta }$ with $\beta =2\mathrm{/}5$ 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.