Landau intermittency counterexample (${\beta }_p^{\mathrm{eff}}={\beta }_p⟨{ϵ}_a^{p/3}⟩/⟨{ϵ}_a{⟩}^{p/3}$)

Mixing turbulent populations with differing viscous dissipation gives $S_p={\beta }_p{r}^{p/3}⟨{ϵ}_a^{p/3}⟩$. Relative to the same power of the mean viscous dissipation, the coefficient changes with the intensity distribution except at $p=3$. Thus universality of all unconditional coefficients is incompatible with arbitrary integral-scale intermittency.