Scaling Behavior in Turbulence is Doubly Anomalous

Details Scaling Behavior in Turbulence is Doubly Anomalous Scaling Behavior in Turbulence is Doubly Anomalous

1996-01-03

arxiv.org/abs/chao-dyn/9601001v1

Phys. Rev. Lett. v.76 3963 (1996)

Nonlinear Sciences

Chaotic Dynamics

Phys. Rev. Lett. submitted, RevTeX, 4 pages

Scientific paper

10.1103/PhysRevLett.76.3963

It is shown that the description of anomalous scaling in turbulent systems requires the simultaneous use of two normalization scales. This phenomenon stems from the existence of two independent (infinite) sets of anomalous scaling exponents that appear in leading order, one set due to infrared anomalies, and the other due to ultraviolet anomalies. To expose this clearly we introduce here a set of local fields whose correlation functions depend simultaneously on the the two sets of exponents. Thus the Kolmogorov picture of "inertial range" scaling is shown to fail because of anomalies that are sensitive to the {\em two ends} of this range.

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