Self-Similarity and Finite Time Intermittent Effects in Turbulent Sequences

We propose a method to analyze a turbulent sequence focusing on the self-similar properties of the discrete system it generates. First we show how to approximate the self-similar exponent (ff = 1=3 in the case of hydrodynamic turbulence) from the finite time measurements, and then we establish a criterion to characterize the deviations from asymptotic scaling of the empirical measure generated by finite time sequences. The comparison between an hydrodynamic turbulent sequence and a numerical sequence of Gaussian random variables (which generates a system with self-similarity exponent ff = 1=2), suggests the possibility of a self-similar asymptotic behavior for the system generated by the first one. In the second part of this work, assuming the asymptotic self-similarity for the system generated by a sequence, we study the conditions ensuring the appearance of anomalous scaling on the structure functions, due to finite time effects. In this way we establish a relation between this anoma..