Interface dimension in intermittent turbulence

We elaborate on a result obtained in Sreenivasan, Ramshankar, and Meneveau [Proc. R. Soc. London Ser. A 421, 79 (1989)] which explains the observations of a universal fractal dimension of interfaces close to (7/3. Here we explicitly take into account the influence of local fluctuations in the Kolmogorov scale (due to the multifractal nature of the rate of dissipation) on the surface area. The resulting dimension is shown to be equivalent to the prediction of a simple argument involving coarse graining of the interface.