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We study the statistical properties of return intervals $r$ betweensuccessive energy dissipation rates above a certain threshold $Q$ inthree-dimensional fully developed turbulence. We find that the distributionfunction $P_Q(r)$ scales with the mean return interval $R_Q$ as$P_Q(r)=R_Q^{-1}f(r/R_Q)$ except for $r=1$, where the scaling function $f(x)$has two power-law regimes. The return intervals are short-term and long-termcorrelated and possess multifractal nature. The Hurst index of the returnintervals decays exponentially against $R_Q$, predicting that rare extremeevents with $R_Q\to\infty$ are also long-term correlated with the Hurst index$H_\infty=0.639$.

Scaling and memory in the return intervals of energy dissipation rate in three-dimensional fully developed turbulence