Self-similarity and finite-time intermittent effects in turbulent sequences

We discuss two questions related to the finite-time behaviour of a sequence that generates a self-similar system. The first one concerns the way to approach the self-similarity exponent associated with the system, from the analysis of the sequences observed during a finite time. After this approximation procedure we established a criterion to decide whether the analysed sequence can be considered to be a finite-time subsequence of a generating sequence for a self-similar system. 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. We use this method to show that, in the case of a real turbulent sequence, anomalous scaling is not incompatible with asymptotic self-similarity. © 1996 IOP Publishing Ltd.

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