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-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 ) \propto \exp ( - k / k _ { \beta } ) ^ { \beta } with \beta = 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 .