Intermittency via Self-Similarity -- An Analytic Example

Details Intermittency via Self-Similarity -- An Analytic Example Intermittency via Self-Similarity -- An Analytic Example

2005-12-21

arxiv.org/abs/physics/0512198v2

Physics

Fluid Dynamics

4 pages, 4 figures, submitted to PoF

Scientific paper

Turbulence is known to show intermittency. That is, statistical properties vary with the length scale in a way not accounted for by statistical similarity where dimensionless ratios of moments are constant. Intermittency occurs even in the inertial range of isotropic turbulence, where physical intuition calls for a self-similar scale dependence. Perceived as a lack of overall scaling invariance, inertial range intermittency has become known as anomalous scaling. We present an analytic example demonstrating how anomalous scaling and self-similarity in the form of global scaling invariance can coexist within the same statistics. Whether we observe anomalous scaling or self-similarity depends on which variables we consider. Our example illustrates consequences of a symmetry, but is not meant as an intermittency model.

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